Paper Citation Record · LEDGER

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

As of 20 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 5 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 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:01:55.920316Z

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

Observation 9a218ced-eb79-4941-ab38-af294b644660 · 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 II: Identity as Fixed-Point Emergence in Categorical Data

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T18:01:55.920316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.