Paper Citation Record · LEDGER

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings

As of 8 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2507.03774.

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

pith.paper-citation-record.v1
2507.03774 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:07:15.405373Z

measured 7 of 7 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:36:19.472693Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:36:19.557650Z

Reference resolution

6 of 6 outbound references displayed

verified exact2
verified fuzzy0
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites Alpay Algebra: A Universal Structural Foundation.

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 71f0a991-4542-4e45-88c0-4f3ff4a026f4 · outbound

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

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 f7a72879-a903-4df8-b273-4187b71f7d3a · outbound

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

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings Alpay Algebra III: Observer-Coupled Collapse and the Temporal Drift of Identity

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T20:07:15.394362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b332e8f-ba59-4e75-ade3-c47ed3052adc · outbound

This paper cites an unresolved cited work.

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:07:15.553403Z

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 69f15b5f-72f2-4302-8136-176936a6835b · outbound

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

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings $\phi^{\infty}$: Clause Purification, Embedding Realignment, and the Total Suppression of the Em Dash in Autoregressive Language Models

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:07:15.511660Z

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 a4ffe17c-6d6b-4641-aa40-a5a73da27fdd · outbound

This paper cites an unresolved cited work.

Alpay Algebra IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings Unresolved cited work

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-06T20:07:15.493625Z

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 b3bc5931-98d2-4982-9c68-8e5a96b55982 · 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 IV: Symbiotic Semantics and the Fixed-Point Convergence of Observer Embeddings

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:36:19.627285Z

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.