Paper Citation Record · LEDGER

Chromatic MacMahon symmetric functions of graphs

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.00157.

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

pith.paper-citation-record.v1
2508.00157 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:25:24.011827Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

verified exact2
verified fuzzy10
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b34d9fc5-f8d1-40b5-b01f-fdca34ee16da · outbound

This paper cites Discrete Math.

Chromatic MacMahon symmetric functions of graphs Discrete Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.366691Z

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 856f214d-50c5-47de-b728-71a27fa1ae69 · outbound

This paper cites Martin, Jennifer D.

Chromatic MacMahon symmetric functions of graphs Martin, Jennifer D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.356767Z

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 a964822f-dd6b-4143-a9c9-33c22e38e118 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.347120Z

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 be459ae1-7653-4fd5-bd37-d3e8d4986347 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.337149Z

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 9cb09814-e751-4c15-93fb-401bb2f9b136 · outbound

This paper cites 345 (2022), no.

Chromatic MacMahon symmetric functions of graphs 345 (2022), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.327085Z

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 ab874aaa-6d3c-4877-b7e8-5aab87389730 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.316818Z

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 5a872d81-8079-4ba7-8152-717be785101e · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.306269Z

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 06b3d17e-174c-46a5-b3e4-d90631a2c167 · outbound

This paper cites 173, Springer, Berlin, 2018, Free version available at diestel-graph-theory.com https://diestel-graph-theory.com.

Chromatic MacMahon symmetric functions of graphs 173, Springer, Berlin, 2018, Free version available at diestel-graph-theory.com https://diestel-graph-theory.com

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.296733Z

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 9512f79e-9a90-4ef5-bf7c-b73fb367b2c6 · outbound

This paper cites The chromatic symmetric function in the star-basis.

Chromatic MacMahon symmetric functions of graphs The chromatic symmetric function in the star-basis

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:25:24.176275Z

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 b3d7beb3-866a-4425-aa2c-761358f0ff4d · outbound

This paper cites Hopf Algebras in Combinatorics.

Chromatic MacMahon symmetric functions of graphs Hopf Algebras in Combinatorics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T10:25:23.971300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ce31301-f16b-41d7-a7c1-118cea92421a · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.286865Z

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 2638d243-6773-4ed8-bb1c-f90ea9ff7016 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.277466Z

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 41efc372-642b-44a7-be35-5a1d794377df · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T10:25:24.150904Z

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 6560f484-3c4f-4c73-8a16-76f76f6a3cd5 · outbound

This paper cites MacMahon, Combinatory analysis, Chelsea Publishing Co., New York, 1960, Two volumes (bound as one).

Chromatic MacMahon symmetric functions of graphs MacMahon, Combinatory analysis, Chelsea Publishing Co., New York, 1960, Two volumes (bound as one)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.267964Z

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 91c75b01-578a-4fcc-8177-f74501afd7c0 · outbound

This paper cites Martin, Matthew Morin, and Jennifer D.

Chromatic MacMahon symmetric functions of graphs Martin, Matthew Morin, and Jennifer D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.258329Z

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 dfbf3611-7178-4624-9c52-5cfa7c7eb015 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.248696Z

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 555b75ab-8671-48ea-9cb8-066223150444 · outbound

This paper cites Rosas, Mac M ahon symmetric functions, the partition lattice, and Y oung subgroups , J.

Chromatic MacMahon symmetric functions of graphs Rosas, Mac M ahon symmetric functions, the partition lattice, and Y oung subgroups , J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.238791Z

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 34bb7fe6-102d-4350-889e-35da049fcee2 · outbound

This paper cites Rosas, Gian-Carlo Rota, and Joel Stein, A combinatorial overview of the H opf algebra of M ac M ahon symmetric functions , Ann.

Chromatic MacMahon symmetric functions of graphs Rosas, Gian-Carlo Rota, and Joel Stein, A combinatorial overview of the H opf algebra of M ac M ahon symmetric functions , Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.228158Z

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 4c6c37f1-2eb6-4732-9f28-c3ebdc80b367 · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.216995Z

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 f59c38b5-6f19-42c4-b0d0-663ae375f6bf · outbound

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

Chromatic MacMahon symmetric functions of graphs Stanley, A symmetric function generalization of the chromatic polynomial of a graph, Adv

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.207647Z

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 0b3bc572-6089-4ed3-8391-edc0e3f42dcb · outbound

This paper cites an unresolved cited work.

Chromatic MacMahon symmetric functions of graphs Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:25:24.196847Z

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 2170161b-f0bf-4e61-8216-d8a5bae884e7 · outbound

This paper cites 347 (2024), no.

Chromatic MacMahon symmetric functions of graphs 347 (2024), no

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:25:24.186271Z

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

No inbound Pith citation observations are available.