Paper Citation Record · LEDGER

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.08931.

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

pith.paper-citation-record.v1
2607.08931 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:42:29.726060Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

16 of 16 outbound references displayed

verified exact3
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ca5496f-3eda-496c-9129-f39886ad7cef · outbound

This paper cites Remarks on the disproof of the unit distance conjecture.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Remarks on the disproof of the unit distance conjecture

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 291012cc-1e18-4abe-8fb3-c72f9cc3781b · outbound

This paper cites Combinatorial descriptions of biclosed sets in affine type.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Combinatorial descriptions of biclosed sets in affine type

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e90c88b5-33bc-4593-be81-01013678ae57 · outbound

This paper cites In preparation.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs In preparation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e006232-28e9-47b9-bc6f-056a1dba56e9 · outbound

This paper cites Commutation classes of reduced words and higher Bruhat orders for affine permutations.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Commutation classes of reduced words and higher Bruhat orders for affine permutations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f69305cc-73f0-4a9d-8dda-16517027617f · outbound

This paper cites Affine permutations of typeA.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Affine permutations of typeA

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b5426c6-784e-4e91-bf3f-162d99930133 · outbound

This paper cites PatternBoost: Constructions in Mathematics with a Little Help from AI.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs PatternBoost: Constructions in Mathematics with a Little Help from AI

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d49552c2-a3c0-4aa7-91e5-d82e7d7747fa · outbound

This paper cites On Enumerating and Generalizing Higher Bruhat Orders with Connec- tions to Machine Learning.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs On Enumerating and Generalizing Higher Bruhat Orders with Connec- tions to Machine Learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b27939a9-4803-4317-b8aa-85477b1276d2 · outbound

This paper cites Advancing mathematics by guiding human intuition with AI.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Advancing mathematics by guiding human intuition with AI

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8be4ca4f-bd41-499b-afe4-df0da2946ac9 · outbound

This paper cites On the weak order of Coxeter groups.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs On the weak order of Coxeter groups

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b87e4ab1-9444-432a-96fd-5af84662c0e7 · outbound

This paper cites Parabolic recursions for Kazhdan–Lusztig poly- nomials and the hypercube decomposition.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Parabolic recursions for Kazhdan–Lusztig poly- nomials and the hypercube decomposition

Reference 10

Resolution: verified exact; doi, observed 2026-07-13T05:49:23.864944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 64b074aa-c120-4e71-925b-fca93f04db84 · outbound

This paper cites Using GNNs to characterize quiver mutation classes.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Using GNNs to characterize quiver mutation classes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38c3e581-0c67-4a9c-bc5f-8e11d4f5f147 · outbound

This paper cites Affine symmetric group.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Affine symmetric group

Reference 12

Resolution: verified exact; doi, observed 2026-07-13T05:49:23.857295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ca2d0a96-b69a-434a-98f3-b312399fd349 · outbound

This paper cites an unresolved cited work.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95d692e4-021e-4ae2-ba5d-974480267ab6 · outbound

This paper cites A characterization of a special ordering in a root system.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs A characterization of a special ordering in a root system

Reference 14

Resolution: verified exact; doi, observed 2026-07-13T05:49:23.858324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5d1b641c-60c7-4a1e-979d-2e83aebccdfd · outbound

This paper cites Affine permutations and inversion multigraphs.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Affine permutations and inversion multigraphs

Reference 15

Resolution: malformed identifier; doi_truncated, observed 2026-07-13T05:49:23.868771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d61d4a90-d487-410c-a391-dca048c0e1be · outbound

This paper cites Advancing Geometry with AI: Multi-agent Generation of Polytopes.

A ChatGPT-assisted Triangle Characterization of Affine Permutation Inversion Graphs Advancing Geometry with AI: Multi-agent Generation of Polytopes

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T05:42:29.726060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.