Paper Citation Record · LEDGER

A counterexample to the claw-free Schur-positivity conjecture

As of 20 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2607.26364.

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

pith.paper-citation-record.v1
2607.26364 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:31:50.238565Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:53:14.058444Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

verified exact2
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f63490c-57d7-44c8-b0ed-93ba01c2116c · outbound

This paper cites Gasharov,Incomparability graphs of(3 + 1)-free posets ares-positive, Discrete Math.

A counterexample to the claw-free Schur-positivity conjecture Gasharov,Incomparability graphs of(3 + 1)-free posets ares-positive, Discrete Math

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:49.410497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff4c8f72-ee19-41fd-8005-e847165e0906 · outbound

This paper cites Gasharov,On Stanley’s chromatic symmetric function and clawfree graphs, Discrete Math.

A counterexample to the claw-free Schur-positivity conjecture Gasharov,On Stanley’s chromatic symmetric function and clawfree graphs, Discrete Math

Reference 2

Resolution: verified exact; doi, observed 2026-08-01T17:33:29.776036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 49077bfc-5590-470e-83c1-02ba2b1aa163 · outbound

This paper cites an unresolved cited work.

A counterexample to the claw-free Schur-positivity conjecture Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:49.723949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cd1c67d-486e-4c65-80f1-184cc935b1c0 · outbound

This paper cites an unresolved cited work.

A counterexample to the claw-free Schur-positivity conjecture Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:49.840066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b81ff194-a4bf-42d5-a8c6-36276e55fa1e · outbound

This paper cites Chromatic symmetric functions of claw-free graphs are not Schur positive.

A counterexample to the claw-free Schur-positivity conjecture Chromatic symmetric functions of claw-free graphs are not Schur positive

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:49.963851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c63100-c3ff-4800-99a0-00961645a4b1 · outbound

This paper cites an unresolved cited work.

A counterexample to the claw-free Schur-positivity conjecture Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T17:31:50.079801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6289a682-aa84-41d4-806f-26527f11450a · outbound

This paper cites Shelburne, S.

A counterexample to the claw-free Schur-positivity conjecture Shelburne, S

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T17:33:29.651162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 3b524dfc-528c-453c-adb4-c7b465d1f577 · inbound

Two infinite families of counterexamples to the Stanley--Gasharov conjecture cites this paper.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture A counterexample to the claw-free Schur-positivity conjecture

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T01:53:14.058444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.