Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:27:34.947844Z
Paper Citation Record · LEDGER
Alpay Algebra: A Universal Structural Foundation
As of 8 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 8 inbound Pith citation observations for arXiv:2505.15344.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:53:56.033685Z
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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 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 2026-08-08T06:32:00.761636+00:00.