A protocol for bank-to-bank asset exchange in this PITA

Table of Contents

This module encompasses a coordinator service that will execute transactions across microservices, or even banks.

This specification uses TypeScript to specify types being exchanged.

1. Copyright

Copyright © 2025 Arsen Arsenović <aarsenovic8422rn@raf.rs>, Dimitrije Andžić <dandzic1621rn@raf.rs>

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

Definition types embedded in this document are API and, hence, ought not to be copyrighted. API definition code snippets (written in TypeScript), and definitions.ts (which may be obtained by tangling this file) are released under CC0 1.0, except for the parts licensed otherwise (such as the comments, which are extracts from this document).

2. Transaction execution protocol

The protocol described here has the job of transmitting and executing transactions between banks. It also includes some auxiliary communication, such as negotiating OTC terms.

All exchanged data is exchanged via JSON messages over HTTP requests and responses. All JSON messages must be encoded in UTF-8.

2.1. Bank identification

Account numbers begin with three digits. These three digits are used to identify banks. We will be calling them routing numbers.

These numbers are assigned ahead of time and are well-known.

type RoutingNumber = number;

2.2. Idempotence keys

Idempotence keys must be set for each message exchanged between banks. This allows each bank to deduplicate messages. A bank must track idempotence keys indefinitely.

Each bank MUST, in the same (local) transaction that handles moving assets, record idempotence keys sent by other banks, and, if they are seen again, return the correct transaction response.

For instance, if bank A sends a transaction T to bank B, and T succeeds but bank B fails to return a response to bank A (for instance, due to a network outage), bank A will retry the request and bank B must deliver the same response.

However, the response must be amended in a way that indicates that this sort of absorption happened: it must set the absorbed field of the response to true.

This can be used by bank A (the sending bank) to detect if it happens to reuse an idempotence key.

Idempotence keys are generated by a bank. Each bank MUST set its routing number as routingNumber, but it is free to generate locallyGeneratedKey in any manner it sees fit.

The maximum length of locallyGeneratedKey is 64 bytes.

type IdempotenceKey = {
    routingNumber: RoutingNumber;
    locallyGeneratedKey: string;
};

2.3. Foreign user IDs

There is a need to identify foreign objects. The need for this arises when we're exchanging assets that are not currencies (RSD, EUR, …)1, and when doing OTC negotiation.

Foreign IDs are the only kind of ID exchanged between banks.

Much like idempotence keys, foreign IDs consist of a routing number, used to identify which bank holds the user, and a bank-specific opaque id string.

Banks (other than those whose routing numbers equal routingNumber) MUST NOT interpret the id string.

The maximum length of the id field is 64 bytes.

type ForeignBankId = {
    routingNumber: RoutingNumber;
    id: string;
};

2.4. Timestamps

Deferring to ISO8601.

// Example: 2025-04-16T15:32:44+02:00
type ISO8601DateTimeWithTimeZone = string

2.5. Monetary values

A monetary value is some amount of money in a given currency.

type MonetaryValue = {
    currency: CurrencyCode;
    amount: number;
}

Note that the amount in a MonetaryValue ought to be handled by BigDecimal or such (when using Java). It is noted as number here, despite TypeScript numbers being IEEE754 float64, as it should be represented as a JSON number production (see ECMA-404, 2nd edition, section 8). Do not interpret amount as a float64.

2.6. Accounts

An account is something that can be credited or debited. For our purposes, exchanging options (held by persons), stocks (held by persons) and monetary values (held by a persons foreign currency or current account).

As a result, we must distinguish only two account types.

In addition, a OPTION pseudo-account type exists to facilitate the execution of an OTC option contract. See the options section for further information on how this account type is used.

type CurrencyAccountNumber = string
type TxAccount =
    | { type: 'PERSON', id: ForeignBankId }
    | { type: 'ACCOUNT', num: CurrencyAccountNumber }
    | { type: 'OPTION', id: ForeignBankId }

2.7. Assets

An asset is something that might be credited or debited, which are:

  • monetary values,
  • stocks, and
  • options
type Asset =
    | { type: 'MONAS', asset: MonetaryAsset }
    | { type: 'STOCK',  asset: StockDescription }
    | { type: 'OPTION', asset: OptionDescription }

2.7.1. Monetary assets

Monetary assets are assets stored in foreign currency accounts

type CurrencyCode =
    | 'RSD'
    | 'EUR'
    | 'USD'
    | 'CHF'
    | 'JPY'
    | 'AUD'
    | 'CAD'
    | 'GBP'

type MonetaryAsset = {
    currency: CurrencyCode;
}

2.7.2. Options

An option contract gives a person the ability to purchase a stock. It is exchanged in the event of an OTC offer being accepted, in return for a previously-confirmed premium.

The amount of stocks exchanged must be an integer greater than zero.

type OptionDescription = {
    id: ForeignBankId,
    stock: StockDescription,
    pricePerUnit: MonetaryValue,
    settlementDate: ISO8601DateTimeWithTimeZone,
    amount: number
}

When an OTC offer is accepted, the OTC contract for a given option is credited from the seller of the option and debited to the buyer.

When this happens, the bank should record the option contract and reserve the correct amount of the correct stock on the Seller's account, so that the contract may be executed later.

In order to execute an option, an Executing Bank should form a transaction of the form:

  • Debit option pseudo-account for \(\pi \cdot k\) where \(\pi\) is the price per unit stock and \(k\) is the amount of stocks in the option
  • Credit option pseudo-account for \(k\) stocks
  • Debit relevant receiving accounts for \(k\) assets

The bank shall, upon the correct usage of an option, mark the option as used and prevent further usage of it.

Note that, if the settlementDate passed, an option should be unable to execute.

When the settlement date of an option contract passes, if that option was not used, the resources stuck in an option shall be un-reserved. A bank should be careful to do this and mark the option as used transactionally

2.7.3. Stock

A stock is uniquely identified by its ticker value, and all banks involved MUST know of all the same stocks all the other banks know of (as they come from the same data source).

type StockDescription = {
    ticker: string;
}

2.8. Transactions

In a double-entry bookkeeping system, a transaction is a balanced list of credits and debits.

A credit reduces the amount of an asset for some account, and a debit increases the amount of an asset for some account.

A transaction is considered balanced if, regardless of account, all credited and debited amounts add up to zero.

For instance, consider the following transaction, in which I owe my buddy coffee:

  • 444000100182503611: -260 RSD
  • 111000141215476411: +260 RSD

… in it, 444000100182503611 is credited 260 RSD (since the amount is negative), and 111000141215476411 is debited 260 RSD.

For sake of simplicity, we'll be limiting transactions to be happening in at most two banks (i.e. there must be at most two distinct routing number in postings).

2.8.1. Postings

Generally, credits and debits are called postings, collectively. A posting is described by the following type:

type Posting = {
    account: TxAccount;
    amount: number;
    asset: Asset;
}

Note that the amount in a Posting ought to be handled by BigDecimal or such (when using Java). It is noted as number here, despite TypeScript numbers being IEEE754 float64, as it should be represented as a JSON number production (see ECMA-404, 2nd edition, section 8). An example value of Posting in JSON form is, hence, { "account": ..., "amount": 260, "asset": ... }. Do not interpret amount as a float64.

Note, also, the restrictions on asset and account type combinations in sections above.

2.8.2. Transaction objects

A transaction is a balanced collection of one or more postings, with some metadata:

type Transaction = {
    postings: Posting[];
    message: string;
    transactionId: IdempotenceKey;
}

The message field of a Transaction is a human-readable message to be recorded along with the transaction in the ledger of the users affected by this transaction. It is to be treated as opaque.

2.8.3. Transaction formation

When a bank wishes to exchange some assets, it forms a transaction object by creating appropriate postings for all accounts involved. The result of this process ought to be balanced.

Upon completing this, the bank shall compute which banks are involved in the transaction by collecting routing numbers in postings.

If only the bank creating the transaction is involved, then the transaction shall be executed fully locally.

2.8.4. Local transaction execution

When it is time to execute a transaction, each participant must perform the transaction locally. Similar to 2PC, we split this into two phases:

  1. Firstly, upon receiving a transaction from an Initiating Bank (IB), a transaction is prepared: all credited accounts have the transacted amount of assets reserved. If this was not possible (for instance, because an account would be overdrafted), the transaction fails locally, the failure is recorded, and a NO vote is cast (voting is described later). Otherwise, a YES vote is cast.
  2. Should all involved parties vote YES, the IB will send, to all involved parties, a commit message. Upon receiving a commit message, the bank shall erase previously reserved resources, and debit any new assets.

In each of these steps, care must be taken to ensure that recording a transaction, performing reservation, debiting, or crediting, and recording idempotence tokens and vote results all happen (local-) transactionally.

In the simple case, when a bank prepares a transaction and determines that it is entirely internal (i.e. no local transaction is performed) it shall execute both steps as separate local transactions in sequence.

2.8.5. Remote transaction execution

When a bank prepares a transaction, if it determines that this transaction must involve other banks, it shall promote itself to a coordinator.

The coordinator must then format a Message<'NEW_TX'> object per remote participating bank. It shall record these messages in the message log in the same local transaction as its local preparation. Should local preparation fail, the previous transaction is rolled back, and no messages are sent.

Upon committing local preparations as well as the outgoing messages, it shall, as described in the message exchange section, start sending out NEW_TX messages and receiving TransactionVote responses. The vote shall be recorded in the same local transaction that marks the message as sent (so that, should vote recording fail, the transaction message will be retransmitted and the vote re-received).

When TransactionVote responses are collected from each involved bank (the initiating bank counts as a YES vote if it passes local preparation), the initiating bank shall format a Message<'COMMIT_TX'> per remote participating bank. In the same local transaction as the local commit, it shall record these messages in the message log.

A CommitTransaction object looks is formed like so:

type CommitTransaction = {
    transactionId: Transaction['transactionId'];
}

2.8.6. Verification of received transactions

When a bank receives a transaction, prior to executing its local part, it should perform verification:

  • The transaction must be balanced.
  • Each account must exist.
  • Each credited account must have sufficient funds to reserve. Note that OTC option contracts are exempt from this check; see Options.
  • Each debited account must be able to hold the asset sent into it (perhaps via conversion).
  • Each invoked option account must be credited exactly for \(k\) stocks and debited for exactly \(k \cdot \pi\) monetary assets where \(k\) is the number of stocks in the option and \(\pi\) is the price per unit of the stock
  • Each invoked option should not be used or expired

Should any of these verification steps fail, the bank shall vote NO on a transaction and send back an appropriate reason.

2.8.7. Local transaction rollback

Should a transaction fail after it has been locally prepared, it can be rolled back by un-reserving all resources reserved by local credit postings in the original transaction. The transaction should also be marked as failed in the transaction log.

It is impossible for a transaction to be rolled back after a local commit.

2.8.8. Remote transaction rollback

After an Initiating Bank receives a NO vote from any bank, it must proceed to notify all participating banks that the transaction failed.

The Initiating Bank shall first mark all outgoing Message<'NEW_TX'> objects for the current transaction not to be sent in the message log. In the same local transaction, it shall prepare a Message<'ROLLBACK_TX'> for each participating bank and log it into the message log. With each such message, the idempotence key of the original Message<'NEW_TX'> shall be sent, in order to ignore those whose credits were never reserved. The appropriate response for a Message<'ROLLBACK_TX'> is empty.

type RollbackTransaction = {
    transactionId: Transaction['transactionId'];
}

Upon receiving a Message<'ROLLBACK_TX'>, a bank should check whether its previously processed a message with prepareMessageKey and, if it has not, do no further processing, besides recording the idempotence key of the Message<'ROLLBACK_TX'>.

However, if it has, it shall perform local transaction rollback and, in the same local transaction, record the idempotence key of the Message<'ROLLBACK_TX'>.

2.9. Message exchange

A Message<Type> is a capsule around a MessageBody<Type> that allows tagging it with an idempotence key.

In order to ensure reliable message delivery, each message must be repeatedly retransmitted until properly acknowledged. However, we must also ensure at most once delivery semantics.

To do this, we use idempotence keys. Idempotence keys are values generated by the sender that allow the receiver to track whether it has processed a message already. The sender MUST NOT reuse idempotence keys, and the receiver MUST track idempotence keys indefinitely.

For transport, we will be using HTTP. Each bank shall expose an endpoint /interbank on some base URL that will be receiving messages. This endpoint is secured: each bank shall issue an API key, described later, to each partner bank which is used to authenticate the sender of a request.

2.10. Authentication

A bank should issue an API token for each other bank. These API tokens are opaque and are delivered via the X-Api-Key header with each message request.

2.11. Sending messages

When a bank S intends to send a message to bank R, it shall prepare an idempotence key by a method it sees fit. This key shall be placed into the message object along with the payload and messageType intended to be delivered.

This request is then sent as a POST to /interbank.

type Message<Type extends MessageTypes> = {
    idempotenceKey: IdempotenceKey,
    messageType: Type,
    message: MessageBody<Type>,
}

Upon receiving this request, R shall process message as it sees fit and respond with one of three status codes:

202 Accepted
Confirms that the message was accepted and logged locally, but that it is not done yet. S shall retransmit the message later in order to get a response. The response body is ignored.
200 OK
Confirms that the message was accepted and that processing was finished. The response body represents the appropriate response to T.
204 No Content
Confirms that the message was accepted and that processing was finished. The response body is empty. Can only sent if T expects no response.

All other status codes indicate failure to deliver, as do network errors. In those cases, S shall retransmit the message later.

Note that R must record the idempotence key and commit the local part of a transaction before sending a response. A failure to do so may mean that S considers the message delivered and R might never actually act on it, due to a fault or similar.

2.12. Message types

Messages are distinguished by a messageType field. Its value is dependent on the payload of the message.

type MessageBodyMapping = {
    NEW_TX: Transaction;
    COMMIT_TX: CommitTransaction;
    ROLLBACK_TX: RollbackTransaction;
}
type MessageTypes = keyof MessageBodyMapping
type MessageBody<Type extends MessageTypes>
    = MessageBodyMapping[Type];

2.12.1. NEW_TX messages

A NEW_TX message indicates that a transaction shall be locally prepared and that a vote shall be cast afterwards.

The expected response type for a NEW_TX message is a TransactionVote.

type TransactionVote =
    | { vote: 'YES', }
    | { vote: 'NO', reasons: NoVoteReason[] }

A positive vote indicates that the receiving bank regards this transaction as valid and permissible.

A negative vote indicates that the receiving bank has some reason not to allow a transaction. The possible reasons are:

  • UNBALANCED_TX — A received transaction was unbalanced. This error serves bank administrators, not users, as they mean a protocol violation happened.
  • NO_SUCH_ACCOUNT — Indicates that an account in a posting does not exist. The relevant posting is delivered through the posting field.
  • NO_SUCH_ASSET — Indicates that an asset in a posting does not exist. The relevant posting is delivered through the posting field.
  • INSUFFICIENT_ASSETS — Indicates that a credited account could not have the necessary funds reserved on it. There's a list of postings that could not be credited in the posting field.
  • OPTION_AMOUNT_INCORRECT — Some credit or debit for an order pseudo-account was wrong. See the option execution section for information about option execution.
  • OPTION_USED_OR_EXPIRED — An option involved in this transaction was marked as used or its settlement date has passed.

More than one reason may be present.

type NoVoteReason =
    | { reason: 'UNBALANCED_TX' }
    | {
        reason: 'NO_SUCH_ACCOUNT',
        posting: Posting,
      }
    | {
        reason: 'NO_SUCH_ASSET',
        posting: Posting,
      }
    | {
        reason: 'INSUFFICIENT_ASSET',
        posting: Posting,
      }
    | {
        reason: 'OPTION_AMOUNT_INCORRECT',
        posting: Posting,
      }
    | {
        reason: 'OPTION_USED_OR_EXPIRED',
        posting: Posting,
      }

2.12.2. COMMIT_TX message

Indicates that a previously-sent transaction is to be committed. The transaction ID is delivered. No response body is expected.

See local transaction commit.

2.12.3. ROLLBACK_TX message

Indicates that a previously-sent transaction is to be rolled back, and its resources unreserved. The transaction ID is delivered. No response body is expected.

See Remote transaction rollback.

3. OTC negotiation protocol

An OTC negotiation happens as a series of updates to an OTC offer object. These negotiations happen between two parties in turn (i.e. only the party which did not modify an offer last can update an offer).

OTC negotiations can be initiated between two users:

  • a Seller, who has some stocks they have declared public, and
  • a Buyer, who is interested in some publicly-listed stocks Holder owns.

OTC negotiations happen in turn: only the person who did not make the last offer can make a new offer. A negotiation is initiated by the Buyer and happens in turn.

type OtcOffer = {
    stock: StockDescription;
    settlementDate: ISO8601DateTimeWithTimeZone
    pricePerUnit: MonetaryValue;
    premium: MonetaryValue;
    buyerId: ForeignBankId;
    sellerId: ForeignBankId;
    amount: number;
    lastModifiedBy: ForeignBankId;
}

When a user is interested in OTC offers, a bank should ask other banks for their publicly available stocks. These will be provided by collecting all the Sellers. When a Buyer picks one and makes an offer, if it is across banks, a request is sent to create an OTC negotiation.

The remote bank will create a negotiation and produce an ID for it. This ID should be used by both banks to keep track of the negotiation.

The authoritative copy of this negotiation is with the bank of the Seller.

Each bank shall expose a base URL that will be used for OTC-related requests. This base URL is also used for TX protocol message exchange.

3.1. Fetching public stocks

To fetch all OTC-traded stocks in a given bank, send a GET /public-stock request. The response body lists each stock and seller.

type PublicStock = {
    stock: StockDescription;
    sellers: {
        seller: ForeignBankId;
        amount: number;
    }[];
}
type PublicStocksResponse = PublicStock[];

3.2. Creating an OTC negotiation

This request is sent from a Buyer's bank to a Seller's bank. It creates an OTC negotiation. To create an OTC negotiation, execute POST /negotiations with a OtcOffer payload. A new negotiation will be created, and its ID will be returned as a ForeignBankId response payload.

3.3. Posting a counter-offer

When a counter-offer is placed (whether by the Buyer or the Seller), a notification is made to the opposing bank containing the updated OtcOffer object.

Let the ID of the offer be id, then the request shall be placed as PUT /negotiations/{id.routingNumber}/{id.id}.

If the receiving bank deems that it is its turn to make a counter-offer, rather than the sellers bank, or if negotiations are closed, a 409 Conflict response code is produced.

Given an OTC offer object off, the the turn is buyers if off.lastModifiedBy ≠ off.buyerId.

3.4. Reading the current transaction

In case that it becomes necessary to update a local copy of a Seller's OTC negotiation state, Buyer's bank can place a GET /negotiations/{id.routingNumber}/{id.id} request to fetch a fresh authoritative copy from the Seller's bank.

The response to this request is slightly altered compared to the OtcOffer request, as it is extended with an additional isOngoing boolean indicating whether the negotiations were closed (they were if !isOngoing).

type OtcNegotiation = OtcOffer & {
    isOngoing: boolean;
};

3.5. Closing negotiations

Any party may back out of negotiations by notifying the other party via a DELETE /negotiations/{id.routingNumber}/{id.id} request to the other bank. This sets isOngoing to false.

3.6. Accepting an offer

The person whose negotiation term it is can choose to accept the other parties offer. By doing so, they agree to form an option contract.

When this accept happens, the accepting bank shall send a GET /negotiations/{id.routingNumber}/{id.id}/accept to the other bank. The other bank shall then form a transaction of the following form (let the offer be O):

  • Buyer — Credit O.premium
  • Seller — Debit O.premium
  • Buyer — Debit one optionContract(O)
  • Seller — Credit one optionContract(O)

Then, this transaction is submitted to the transaction executor.

Upon successful submission of a transaction, and only then, a response is returned.

Note that the debit of the Seller above should reserve their stocks as part of the contract. See the option section above for a description of this behaviour.

3.6.1. Forming option contracts

The optionContract: (o: OtcOffer) => OptionDescription function used as a placeholder above creates an OTC option contract for a given OTC negotiation result. The implementation of such a function shall:

  • Produce a new ForeignBankId as the id of the new OTC option contract
  • Transfer o.stockDescription to be stock in the OTC option contract
  • Set pricePerUnit to o.pricePerUnit in the OTC option contract
  • Set settlementDate to o.settlementDate in the OTC option contract
  • Set amount to o.amount in the OTC option contract

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4. MODIFICATIONS

You may copy and distribute a Modified Version of the Document under the conditions of sections 2 and 3 above, provided that you release the Modified Version under precisely this License, with the Modified Version filling the role of the Document, thus licensing distribution and modification of the Modified Version to whoever possesses a copy of it. In addition, you must do these things in the Modified Version:

  • A. Use in the Title Page (and on the covers, if any) a title distinct from that of the Document, and from those of previous versions (which should, if there were any, be listed in the History section of the Document). You may use the same title as a previous version if the original publisher of that version gives permission.
  • B. List on the Title Page, as authors, one or more persons or entities responsible for authorship of the modifications in the Modified Version, together with at least five of the principal authors of the Document (all of its principal authors, if it has fewer than five), unless they release you from this requirement.
  • C. State on the Title page the name of the publisher of the Modified Version, as the publisher.
  • D. Preserve all the copyright notices of the Document.
  • E. Add an appropriate copyright notice for your modifications adjacent to the other copyright notices.
  • F. Include, immediately after the copyright notices, a license notice giving the public permission to use the Modified Version under the terms of this License, in the form shown in the Addendum below.
  • G. Preserve in that license notice the full lists of Invariant Sections and required Cover Texts given in the Document's license notice.
  • H. Include an unaltered copy of this License.
  • I. Preserve the section Entitled "History", Preserve its Title, and add to it an item stating at least the title, year, new authors, and publisher of the Modified Version as given on the Title Page. If there is no section Entitled "History" in the Document, create one stating the title, year, authors, and publisher of the Document as given on its Title Page, then add an item describing the Modified Version as stated in the previous sentence.
  • J. Preserve the network location, if any, given in the Document for public access to a Transparent copy of the Document, and likewise the network locations given in the Document for previous versions it was based on. These may be placed in the "History" section. You may omit a network location for a work that was published at least four years before the Document itself, or if the original publisher of the version it refers to gives permission.
  • K. For any section Entitled "Acknowledgements" or "Dedications", Preserve the Title of the section, and preserve in the section all the substance and tone of each of the contributor acknowledgements and/or dedications given therein.
  • L. Preserve all the Invariant Sections of the Document, unaltered in their text and in their titles. Section numbers or the equivalent are not considered part of the section titles.
  • M. Delete any section Entitled "Endorsements". Such a section may not be included in the Modified Version.
  • N. Do not retitle any existing section to be Entitled "Endorsements" or to conflict in title with any Invariant Section.
  • O. Preserve any Warranty Disclaimers.

If the Modified Version includes new front-matter sections or appendices that qualify as Secondary Sections and contain no material copied from the Document, you may at your option designate some or all of these sections as invariant. To do this, add their titles to the list of Invariant Sections in the Modified Version's license notice. These titles must be distinct from any other section titles.

You may add a section Entitled "Endorsements", provided it contains nothing but endorsements of your Modified Version by various parties—for example, statements of peer review or that the text has been approved by an organization as the authoritative definition of a standard.

You may add a passage of up to five words as a Front-Cover Text, and a passage of up to 25 words as a Back-Cover Text, to the end of the list of Cover Texts in the Modified Version. Only one passage of Front-Cover Text and one of Back-Cover Text may be added by (or through arrangements made by) any one entity. If the Document already includes a cover text for the same cover, previously added by you or by arrangement made by the same entity you are acting on behalf of, you may not add another; but you may replace the old one, on explicit permission from the previous publisher that added the old one.

The author(s) and publisher(s) of the Document do not by this License give permission to use their names for publicity for or to assert or imply endorsement of any Modified Version.

5. COMBINING DOCUMENTS

You may combine the Document with other documents released under this License, under the terms defined in section 4 above for modified versions, provided that you include in the combination all of the Invariant Sections of all of the original documents, unmodified, and list them all as Invariant Sections of your combined work in its license notice, and that you preserve all their Warranty Disclaimers.

The combined work need only contain one copy of this License, and multiple identical Invariant Sections may be replaced with a single copy. If there are multiple Invariant Sections with the same name but different contents, make the title of each such section unique by adding at the end of it, in parentheses, the name of the original author or publisher of that section if known, or else a unique number. Make the same adjustment to the section titles in the list of Invariant Sections in the license notice of the combined work.

In the combination, you must combine any sections Entitled "History" in the various original documents, forming one section Entitled "History"; likewise combine any sections Entitled "Acknowledgements", and any sections Entitled "Dedications". You must delete all sections Entitled "Endorsements".

6. COLLECTIONS OF DOCUMENTS

You may make a collection consisting of the Document and other documents released under this License, and replace the individual copies of this License in the various documents with a single copy that is included in the collection, provided that you follow the rules of this License for verbatim copying of each of the documents in all other respects.

You may extract a single document from such a collection, and distribute it individually under this License, provided you insert a copy of this License into the extracted document, and follow this License in all other respects regarding verbatim copying of that document.

7. AGGREGATION WITH INDEPENDENT WORKS

A compilation of the Document or its derivatives with other separate and independent documents or works, in or on a volume of a storage or distribution medium, is called an "aggregate" if the copyright resulting from the compilation is not used to limit the legal rights of the compilation's users beyond what the individual works permit. When the Document is included in an aggregate, this License does not apply to the other works in the aggregate which are not themselves derivative works of the Document.

If the Cover Text requirement of section 3 is applicable to these copies of the Document, then if the Document is less than one half of the entire aggregate, the Document's Cover Texts may be placed on covers that bracket the Document within the aggregate, or the electronic equivalent of covers if the Document is in electronic form. Otherwise they must appear on printed covers that bracket the whole aggregate.

8. TRANSLATION

Translation is considered a kind of modification, so you may distribute translations of the Document under the terms of section 4. Replacing Invariant Sections with translations requires special permission from their copyright holders, but you may include translations of some or all Invariant Sections in addition to the original versions of these Invariant Sections. You may include a translation of this License, and all the license notices in the Document, and any Warranty Disclaimers, provided that you also include the original English version of this License and the original versions of those notices and disclaimers. In case of a disagreement between the translation and the original version of this License or a notice or disclaimer, the original version will prevail.

If a section in the Document is Entitled "Acknowledgements", "Dedications", or "History", the requirement (section 4) to Preserve its Title (section 1) will typically require changing the actual title.

9. TERMINATION

You may not copy, modify, sublicense, or distribute the Document except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense, or distribute it is void, and will automatically terminate your rights under this License.

However, if you cease all violation of this License, then your license from a particular copyright holder is reinstated (a) provisionally, unless and until the copyright holder explicitly and finally terminates your license, and (b) permanently, if the copyright holder fails to notify you of the violation by some reasonable means prior to 60 days after the cessation.

Moreover, your license from a particular copyright holder is reinstated permanently if the copyright holder notifies you of the violation by some reasonable means, this is the first time you have received notice of violation of this License (for any work) from that copyright holder, and you cure the violation prior to 30 days after your receipt of the notice.

Termination of your rights under this section does not terminate the licenses of parties who have received copies or rights from you under this License. If your rights have been terminated and not permanently reinstated, receipt of a copy of some or all of the same material does not give you any rights to use it.

10. FUTURE REVISIONS OF THIS LICENSE

The Free Software Foundation may publish new, revised versions of the GNU Free Documentation License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. See https://www.gnu.org/licenses/.

Each version of the License is given a distinguishing version number. If the Document specifies that a particular numbered version of this License "or any later version" applies to it, you have the option of following the terms and conditions either of that specified version or of any later version that has been published (not as a draft) by the Free Software Foundation. If the Document does not specify a version number of this License, you may choose any version ever published (not as a draft) by the Free Software Foundation. If the Document specifies that a proxy can decide which future versions of this License can be used, that proxy's public statement of acceptance of a version permanently authorizes you to choose that version for the Document.

11. RELICENSING

"Massive Multiauthor Collaboration Site" (or "MMC Site") means any World Wide Web server that publishes copyrightable works and also provides prominent facilities for anybody to edit those works. A public wiki that anybody can edit is an example of such a server. A "Massive Multiauthor Collaboration" (or "MMC") contained in the site means any set of copyrightable works thus published on the MMC site.

"CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0 license published by Creative Commons Corporation, a not-for-profit corporation with a principal place of business in San Francisco, California, as well as future copyleft versions of that license published by that same organization.

"Incorporate" means to publish or republish a Document, in whole or in part, as part of another Document.

An MMC is "eligible for relicensing" if it is licensed under this License, and if all works that were first published under this License somewhere other than this MMC, and subsequently incorporated in whole or in part into the MMC, (1) had no cover texts or invariant sections, and (2) were thus incorporated prior to November 1, 2008.

The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing.

ADDENDUM: How to use this License for your documents

To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page:

Copyright (C)  YEAR  YOUR NAME.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3
or any later version published by the Free Software Foundation;
with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
A copy of the license is included in the section entitled "GNU
Free Documentation License".

If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the "with … Texts." line with this:

with the Invariant Sections being LIST THEIR TITLES, with the
Front-Cover Texts being LIST, and with the Back-Cover Texts being LIST.

If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation.

If your document contains nontrivial examples of program code, we recommend releasing these examples in parallel under your choice of free software license, such as the GNU General Public License, to permit their use in free software.

Footnotes:

1

Currencies are held by accounts, and so, they can be identified by account numbers rather than user IDs.

Author: Arsen Arsenović, Dimitrije Andžić

Created: 2025-04-20 Sun 23:19