Paper Citation Record · LEDGER

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data

As of 8 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 4 inbound Pith citation observations for arXiv:2505.17480.

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

pith.paper-citation-record.v1
2505.17480 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:53:56.033685Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:11:21.642204Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:36:20.036856Z

Reference resolution

4 of 4 outbound references displayed

verified exact0
verified fuzzy2
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a1c4581d-69de-4a51-85b4-35d51716526e · outbound

This paper cites Bourbaki, Éléments de Mathématique.

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data Bourbaki, Éléments de Mathématique

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:53:56.441593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 590a1966-fb54-4156-80d0-d97ac9a297d5 · outbound

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

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data Mac Lane,Mathematics: Form and Function

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:53:56.224764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites Alpay Algebra: A Universal Structural Foundation.

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 · outbound

This paper cites Alpay Algebra: A Universal Structural Foundation.

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.

Pith citing papers

Observation e12aea91-35b5-4db4-8869-5db12e30ba54 · 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 II: Identity as Fixed-Point Emergence in Categorical Data

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:21.642204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a493ea84-f362-4eea-bfa7-504aeb9a8b8b · inbound

Fixed-Point Traps and Identity Emergence in Educational Feedback Systems cites this paper.

Fixed-Point Traps and Identity Emergence in Educational Feedback Systems Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:33.073768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71f0a991-4542-4e45-88c0-4f3ff4a026f4 · 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 II: Identity as Fixed-Point Emergence in Categorical Data

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T20:07:15.390737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 556f23b6-8b20-4e42-8455-b19b989b84a8 · 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 II: Identity as Fixed-Point Emergence in Categorical Data

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:36:20.071048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.