Paper Citation Record · LEDGER

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics

As of 8 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2508.00151.

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

pith.paper-citation-record.v1
2508.00151 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:23:17.960225Z

measured 21 of 21 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy6
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e4f8c54-f161-4ae4-be1a-11d6aa53c133 · outbound

This paper cites Aczel and N.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Aczel and N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.344854Z

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 e4f90ef2-77bf-4da9-9858-d457192f43cf · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.333211Z

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 726ea5b3-50ed-4ba7-ab0c-9e248666a0d8 · outbound

This paper cites Alpay Algebra: A Universal Structural Foundation.

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.

Observation b928167b-3483-4147-a489-b9fd7c45be0e · outbound

This paper cites Feferman.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Feferman

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.321615Z

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 f38c4dd6-8c6e-4abf-8453-1e01d8c188ea · outbound

This paper cites Feferman.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Feferman

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.310301Z

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 c388de94-a640-4f68-98bc-f53616b1b437 · outbound

This paper cites Feferman.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Feferman

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.299435Z

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 109852e5-9806-42cf-83bb-3df2ed5e4045 · outbound

This paper cites Gouveia and L.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Gouveia and L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.287718Z

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 8ca0c006-12ef-4661-b7ea-b2e7ad9db72f · outbound

This paper cites Hamkins and D.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Hamkins and D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:23:18.276012Z

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 0d101a36-3c15-43e5-93e3-7e329d2cccf9 · outbound

This paper cites Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Alpay Algebra V: Multi-Layered Semantic Games and Transfinite Fixed-Point Simulation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T10:23:17.915361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc951583-52e7-4648-9ca2-2680f5fbe201 · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.264469Z

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 3f3fc69a-6381-441d-a8e7-a20751d01b5e · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.252734Z

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 451f6fb5-86d2-4415-b64a-8b0f04e1a76b · outbound

This paper cites Reflexion: Language Agents with Verbal Reinforcement Learning.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Reflexion: Language Agents with Verbal Reinforcement Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T10:23:17.926638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ac03275-b73e-4ae2-9a11-23fe296bbc4c · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.241680Z

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 946d85c1-42cb-4032-8946-2b3229ae9134 · outbound

This paper cites Self-Consistency Improves Chain of Thought Reasoning in Language Models.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Self-Consistency Improves Chain of Thought Reasoning in Language Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T10:23:17.934658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b830b9-2a07-4c53-b707-810f83ce3587 · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.230702Z

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 e19f94c6-58ce-4b95-b966-49720a94288d · outbound

This paper cites Zhang, Y.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Zhang, Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T10:23:17.942433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fef4bcb7-9002-4840-860a-0f52cd59e23d · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.218619Z

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 79563625-5ae1-4593-b954-7e6d6ba1ac7b · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.205969Z

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 0c664234-c616-47d6-a31a-31653f9410ae · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.193589Z

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 ce38ea10-1324-43fc-94e8-800e13f7afd7 · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.181149Z

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 f8e2e445-5933-40e6-b082-76d60abe8194 · outbound

This paper cites an unresolved cited work.

Ordinal Folding Index: A Computable Metric for Self-Referential Semantics Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:23:18.169793Z

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

No inbound Pith citation observations are available.