Paper Citation Record · LEDGER

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence

As of 18 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2507.16620.

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

pith.paper-citation-record.v1
2507.16620 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:13:10.881617Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:01:55.937990Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:01:56.162488Z

Reference resolution

8 of 8 outbound references displayed

verified exact4
verified fuzzy0
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa09c313-3b08-40c2-af20-d1cb719899b2 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-06T15:13:11.022449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3509af89-d2f6-487b-8b85-5f7fb7ad4e38 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-06T15:13:11.005414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5f374eec-d1e3-44ec-89a7-232ab7bb1c24 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-06T15:13:10.987504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2be27bf9-9afa-47af-9f8e-3276c8c0b9ca · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-06T15:13:10.967362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 56515daa-b0e7-41f0-8687-0da5f0858e04 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:10.865872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f90b51c-50d0-4a13-a237-f2040727a9db · outbound

This paper cites B., & Plotkin, G.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence B., & Plotkin, G

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:10.870661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90eac23a-ebc1-4a49-8646-be0409eec992 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:10.876467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bfd03f3-fbc0-46f8-8be8-8c19f9bd6582 · outbound

This paper cites an unresolved cited work.

Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:10.881617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4e2fd8e7-e335-495a-8062-7922889c25fd · 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 Transordinal Fixed-Point Operators and Self-Referential Games: A Categorical Framework for Reflective Semantic Convergence

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:01:56.170924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.