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Paper Citation Record · LEDGER

Two infinite families of counterexamples to the Stanley--Gasharov conjecture

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.27166.

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

pith.paper-citation-record.v1
2607.27166 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:53:14.728615Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation a58532e1-f469-44b9-97a3-31e8304cf13f · outbound

This paper cites Beineke,Characterizations of derived graphs, J.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Beineke,Characterizations of derived graphs, J

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:53:13.040889Z digest=sha256:c51459f99d8a793f979acad2a0b0d5759c79cc00d16e2425d6844d8f8ba11e76

Observation 865aed39-3662-432b-accb-d0c00db37fc2 · outbound

This paper cites Chudnovsky and P.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Chudnovsky and P

Reference 2

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source=pdf_text observed=2026-08-03T01:53:13.138154Z digest=sha256:f56df3a51a2a8c4273daf12851468aed2018b07d0110d57422a90b1534b7b96e

Observation cb7e8e65-a66f-4dc5-9ec7-f437ac9ebf70 · outbound

This paper cites Gasharov,Incomparability graphs of(3 + 1)-free posets are s-positive, Discrete Math.157 (1996), no.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gasharov,Incomparability graphs of(3 + 1)-free posets are s-positive, Discrete Math.157 (1996), no

Reference 3

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source=pdf_text observed=2026-08-03T01:53:13.208546Z digest=sha256:4614a2bc20005c156c76ef8b29a3652b2ae3b97270d546edbdac9d580cba5185

Observation e27f016c-941d-4acf-b070-dfd853db8861 · outbound

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

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gasharov,On Stanley’s chromatic symmetric function and clawfree graphs, Discrete Math

Reference 4

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source=pdf_text observed=2026-08-03T01:53:13.330395Z digest=sha256:c1a7949b40169f2dc9ab8b708a538c129629440cdcb0a00c9a5cd24580afc228

Observation 95f1cd63-aaa2-4e7b-a06e-79db30f56f33 · outbound

This paper cites Gebhard and B.E.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Gebhard and B.E

Reference 5

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source=pdf_text observed=2026-08-03T01:53:13.456269Z digest=sha256:0c036712a1b1090439eb0070d3bf368a1f220ed58ea9ad0a62eb0f1ee008adbb

Observation 43be97dd-773c-4c64-b509-fd75dc9fdef7 · outbound

This paper cites Hikita,On the Stanley–Stembridge conjecture, S´ eminaire Lotharingien de Combinatoire93B (2025), Article 31, 12 pp.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Hikita,On the Stanley–Stembridge conjecture, S´ eminaire Lotharingien de Combinatoire93B (2025), Article 31, 12 pp

Reference 6

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source=pdf_text observed=2026-08-03T01:53:13.545999Z digest=sha256:1576c8d163e2527ba5f16b41169b67f9889c24216be8e607f630b0f269f43227

Observation 9ede5845-3dd5-417c-a4fb-ff57dce542ee · outbound

This paper cites Macdonald,Symmetric Functions and Hall Polynomials, 2nd ed., Oxford University Press, New York, 1995.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Macdonald,Symmetric Functions and Hall Polynomials, 2nd ed., Oxford University Press, New York, 1995

Reference 7

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source=pdf_text observed=2026-08-03T01:53:13.659225Z digest=sha256:0b3bae351c240336ff77f78f0aa67e3267cc9183bc27f40fa324facc9eefcee0

Observation 30714b8e-1249-42ca-8935-d9cbf07a3431 · outbound

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

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Chromatic symmetric functions of claw-free graphs are not Schur positive

Reference 8

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source=pdf_text observed=2026-08-03T01:53:13.778404Z digest=sha256:28440a54ddf7f8b996c2e6a9bcbf59120149345c34fde6cdcc3e0e916a0c8ebc

Observation 544f9e66-50bb-433e-8e62-55da48876c1f · outbound

This paper cites McKay and A.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture McKay and A

Reference 9

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source=pdf_text observed=2026-08-03T01:53:13.856842Z digest=sha256:62f6143a3d71d4f14a9c590fc3b955522301d8820d1aac6677fe40232f3b122b

Observation 57031821-1335-46fd-8f63-9d672df98109 · outbound

This paper cites Pawlowski,Chromatic symmetric functions via the group algebra of Sn, Algebr.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Pawlowski,Chromatic symmetric functions via the group algebra of Sn, Algebr

Reference 10

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source=pdf_text observed=2026-08-03T01:53:13.942986Z digest=sha256:b6cdf42db09dbb39f85a5e20c7146b5cb592cf51568d1e3449c4e1ee16a6d7ce

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

This paper cites A counterexample to the claw-free Schur-positivity conjecture.

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

Reference 11

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source=pdf_text observed=2026-08-03T01:53:14.058444Z digest=sha256:fb88ecd836b96ef6fa828ccd3e53f7504d98706cf4d6237d617c948433f459c1

Observation db74af38-dfe7-4917-b6c2-0c82a525220f · outbound

This paper cites Qi, D.Q.B.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Qi, D.Q.B

Reference 12

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source=pdf_text observed=2026-08-03T01:53:14.161072Z digest=sha256:1fcbb772967102ee555b271930de2de7d0be506c75759620620bb4c8c371a02b

Observation d2c98c24-2353-47e5-8934-dbaf0f2f2ca9 · outbound

This paper cites Shareshian and M.L.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Shareshian and M.L

Reference 13

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source=pdf_text observed=2026-08-03T01:53:14.224381Z digest=sha256:cc358473a4a6d99eac47ba41e7d2b4dddf118cc4bd0cc87b7818629b93fadc82

Observation 0907b1b3-b07b-4428-9c57-60ce7a3e7286 · outbound

This paper cites Shelburne and S.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Shelburne and S

Reference 14

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source=pdf_text observed=2026-08-03T01:53:14.272293Z digest=sha256:c2c32d1d5e40636241ca5fcbf4fb3324310de25c40b09704ab2ddb16712a7cfd

Observation f197cdd7-8695-4ab3-a76c-8c6c1d830b89 · outbound

This paper cites A Schur-positivity classification for complete multipartite graphs.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture A Schur-positivity classification for complete multipartite graphs

Reference 15

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source=pdf_text observed=2026-08-03T01:53:14.329697Z digest=sha256:fb97eae183f9b65e4a1abaca90fcf3b8049b7cd43d91f552d5a120abc55008cf

Observation 97a9f8cf-4424-4bb9-861c-e4a6e82a3c86 · outbound

This paper cites Stanley,Review: I.G.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,Review: I.G

Reference 16

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source=pdf_text observed=2026-08-03T01:53:14.384627Z digest=sha256:bad79693bbd789a9546bb6a2adeb4a32c8bb9532ed75338f5fcfcf9491da5abb

Observation 145b25a6-29c1-4b59-9b21-6924266c50d9 · outbound

This paper cites Stanley,A symmetric function generalization of the chromatic polynomial of a graph, Adv.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,A symmetric function generalization of the chromatic polynomial of a graph, Adv

Reference 17

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source=pdf_text observed=2026-08-03T01:53:14.443161Z digest=sha256:f5166dfbb2828b4048f742fd5482ac8cb603261903fba167f3b9f0e7584aad37

Observation fb26a2ce-d2d6-4f21-b8ed-4ebe1ed8b54c · outbound

This paper cites an unresolved cited work.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-03T01:53:14.504150Z digest=sha256:746c113c1a431dea0b0f13642dc6e4df0e99521459cf7b5fc1e626bf09d09f2c

Observation 602884be-8559-487b-8bce-010a7c93108a · outbound

This paper cites Stanley,Enumerative Combinatorics, volume 2, Cambridge University Press, Cambridge, 1999.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley,Enumerative Combinatorics, volume 2, Cambridge University Press, Cambridge, 1999

Reference 19

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source=pdf_text observed=2026-08-03T01:53:14.541238Z digest=sha256:cc22e8ed3f1dee671956d923e404c9e2077cf6623142d7c69557752af7d0d275

Observation 4e76fd46-b223-479c-a513-ecdd0e8794c6 · outbound

This paper cites Stanley and J.R.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stanley and J.R

Reference 20

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source=pdf_text observed=2026-08-03T01:53:14.619750Z digest=sha256:213e145e8dfd14fa48e0cde61af61650fcd88638785af9d5bba6b55752bbbd2a

Observation f09b78e6-c0b4-4e65-bd82-a8b485ccd6ef · outbound

This paper cites Stembridge,A Maple package for symmetric functions, J.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Stembridge,A Maple package for symmetric functions, J

Reference 21

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source=pdf_text observed=2026-08-03T01:53:14.677668Z digest=sha256:4b6d0fbb092dbd876843b3dd327787b6b5de4490c927c68f9a2b8b821139c470

Observation 633f5b59-cc0f-40f1-bc5e-eb6ff6ef9679 · outbound

This paper cites Wang and M.M.Y.

Two infinite families of counterexamples to the Stanley--Gasharov conjecture Wang and M.M.Y

Reference 22

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source=pdf_text observed=2026-08-03T01:53:14.728615Z digest=sha256:ee0dd644a907f5724b86d9cecd78cd275543fa8122bbe00afe02acf93f70204c

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No inbound Pith citation observations are available.