Paper Citation Record · LEDGER

Alpay Algebra: A Universal Structural Foundation

As of 17 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 9 inbound Pith citation observations for arXiv:2505.15344.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.15344 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:27:34.947844Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:01:55.910493Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T10:23:18.150195Z

Reference resolution

2 of 2 outbound references displayed

verified exact0
verified fuzzy2
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc2e8baf-dfb9-4171-b2ae-76f11f7ba2fe · outbound

This paper cites Bourbaki,Éléments de Mathématique.

Alpay Algebra: A Universal Structural Foundation Bourbaki,Éléments de Mathématique

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:35.267785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 267c8969-cafe-4cd2-97d3-1de4c342b4bc · outbound

This paper cites Mac Lane,Mathematics: Form and Function.

Alpay Algebra: A Universal Structural Foundation Mac Lane,Mathematics: Form and Function

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:27:35.135038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 0fc31dc1-66b3-44e1-8ca5-93340bb0f1e0 · inbound

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data cites this paper.

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data Alpay Algebra: A Universal Structural Foundation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:53:55.915138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5468d92-1ea1-4af4-9d18-4b196c6ac0be · inbound

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data cites this paper.

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data Alpay Algebra: A Universal Structural Foundation

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-07T14:53:56.033685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7082c754-83cc-4166-a0a6-2286a1fc3eb4 · inbound

Alpay Algebra III: Observer-Coupled Collapse and the Temporal Drift of Identity cites this paper.

Alpay Algebra III: Observer-Coupled Collapse and the Temporal Drift of Identity Alpay Algebra: A Universal Structural Foundation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:21.540399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a40099d-05a7-46d8-b227-0ffe1bdaeecc · inbound

Recursive Semantic Anchoring in ISO 639:2023: A Structural Extension to ISO/TC 37 Frameworks cites this paper.

Recursive Semantic Anchoring in ISO 639:2023: A Structural Extension to ISO/TC 37 Frameworks Alpay Algebra: A Universal Structural Foundation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:00.015500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a03bc654-4353-4560-8075-04b61ab69238 · inbound

$\phi^{\infty}$: Clause Purification, Embedding Realignment, and the Total Suppression of the Em Dash in Autoregressive Language Models cites this paper.

$\phi^{\infty}$: Clause Purification, Embedding Realignment, and the Total Suppression of the Em Dash in Autoregressive Language Models Alpay Algebra: A Universal Structural Foundation

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T23:27:38.389006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7e8a001-c727-4b47-b377-9ba53d7e62ed · inbound

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings cites this paper.

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings Alpay Algebra: A Universal Structural Foundation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T20:07:15.386834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff0dff2c-9b83-4015-a974-17180a6f4181 · inbound

Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation cites this paper.

Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation Alpay Algebra: A Universal Structural Foundation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T18:36:19.237679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10d25185-a34d-4e75-a437-a56ae206de73 · inbound

Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory cites this paper.

Transfinite Fixed Points in Alpay Algebra as Ordinal Game Equilibria in Dependent Type Theory Alpay Algebra: A Universal Structural Foundation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:01:55.910493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 726ea5b3-50ed-4ba7-ab0c-9e248666a0d8 · inbound

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics cites this paper.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Alpay Algebra: A Universal Structural Foundation

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:23:18.156579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.