Paper Citation Record · LEDGER

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

As of 14 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2509.02841.

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

pith.paper-citation-record.v1
2509.02841 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:32:39.132692Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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verified fuzzy21
unresolved10
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External citation measurements

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Outbound references

Observation 2a226b4d-4d23-4eb3-aa45-3f1230cb8280 · outbound

This paper cites Marked graphs and the chromatic symmetric function.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Marked graphs and the chromatic symmetric function

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:44.036452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 17b809a9-87b8-490b-8be3-2c6b945bac17 · outbound

This paper cites Martin, Jennifer D.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Martin, Jennifer D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.909732Z

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Observation 0d365e2b-d23e-4400-86db-9d4048cd3c97 · outbound

This paper cites Athanasiadis.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Athanasiadis

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.785607Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6fdc95ab-79dd-496e-81d6-14bfe369215b · outbound

This paper cites Noncommutative Schur functions for posets.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Noncommutative Schur functions for posets

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.638895Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8ddcaff9-3f75-4ead-910a-75102a145a29 · outbound

This paper cites Noncommutative Schur functions, switchboards, and Schur positivity.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Noncommutative Schur functions, switchboards, and Schur positivity

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.517725Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d38a5895-046f-4b28-a2b9-33e303b0a87d · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:43.389445Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 99cf8684-4486-44f7-b6d4-f82d8918a205 · outbound

This paper cites A graph polynomial from chromatic symmetric functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A graph polynomial from chromatic symmetric functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.253039Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 160733a4-ec73-4ec1-ba41-ce8e0369e2f6 · outbound

This paper cites Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:43.106463Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 83c15407-4781-46b7-9805-fe06f7c4f9a5 · outbound

This paper cites On e-positivity and e-unimodality of chromatic quasi-symmetric functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis On e-positivity and e-unimodality of chromatic quasi-symmetric functions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.969522Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 814a7b0f-6bb5-474a-953e-b32ab947452e · outbound

This paper cites Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.860162Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b07e6093-ac2f-4fec-aa50-0942ff1efb3f · outbound

This paper cites A new formula for Stanley’s chromatic symmetric function for unit interval graphs and e-positivity for triangular ladder graphs.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A new formula for Stanley’s chromatic symmetric function for unit interval graphs and e-positivity for triangular ladder graphs

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.713473Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 58ca3925-aa48-4901-a249-9e05a6feb0fd · outbound

This paper cites Lollipop and lariat symmetric functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Lollipop and lariat symmetric functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.594701Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1ccef4dd-5b57-479c-ba19-626f93f4797b · outbound

This paper cites Noncommutative Schur functions and their applications.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Noncommutative Schur functions and their applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.462312Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 57a798bf-9495-43b6-b5fd-6e633171ac77 · outbound

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

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Incomparability graphs of (3 + 1)-free posets ares-positive

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.363015Z

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Observation e0e01c8b-c166-435b-a59a-40fb75c9c273 · outbound

This paper cites Gebhard and Bruce E.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Gebhard and Bruce E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:42.194606Z

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Observation 85be47cd-fb04-4f2b-9017-f7f5460b565d · outbound

This paper cites On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T11:32:39.035556Z

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Unavailable: canonical work link unavailable.

Observation dab132ed-5e87-416d-bc0f-10e20da263da · outbound

This paper cites A modular relation for the chromatic symmetric functions of (3+1)-free posets.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A modular relation for the chromatic symmetric functions of (3+1)-free posets

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T11:32:39.040323Z

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Unavailable: canonical work link unavailable.

Observation 638af9a0-d23d-411a-9f07-af12870f10e8 · outbound

This paper cites A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:39.666600Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8e2e0e20-fe2a-46f1-8597-ffea3ba0e29d · outbound

This paper cites Hecke algebra characters and immanant conjectures.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Hecke algebra characters and immanant conjectures

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:41.994852Z

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Observation 066cd76e-d5bc-4f56-9197-fa86732f24b5 · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:41.756576Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4abceaf6-b4b0-49b7-bee5-f09a35f17116 · outbound

This paper cites A proof of the Stanley–Stembridge conjecture.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A proof of the Stanley–Stembridge conjecture

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T11:32:39.060251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76d37bac-e4af-4d26-b937-8556af7357b9 · outbound

This paper cites Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:39.433869Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4d2bfc83-3dfa-43ed-9178-185f26aac517 · outbound

This paper cites Chromatic quasisymmetric functions and noncommutative P -symmetric functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Chromatic quasisymmetric functions and noncommutative P -symmetric functions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:41.558344Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c90344c9-7357-4145-bb1f-134f23b75d8c · outbound

This paper cites A geometric realization of the chromatic symmetric function of a unit interval graph.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A geometric realization of the chromatic symmetric function of a unit interval graph

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:39.322054Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7fbc9840-7967-4232-ba52-ad72d10a021e · outbound

This paper cites A geometric realization of Catalan functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A geometric realization of Catalan functions

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-05T11:32:39.293141Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9630ee18-ad87-493c-b12e-71174cf8ac5f · outbound

This paper cites Robinson-Schensted correspondence for unit interval orders.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Robinson-Schensted correspondence for unit interval orders

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:41.376751Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b1784dbb-4f04-4274-b3f4-d1f80c2f8f92 · outbound

This paper cites Isomorphism of weighted trees and Stanley’s isomorphism conjecture for caterpillars.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Isomorphism of weighted trees and Stanley’s isomorphism conjecture for caterpillars

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:41.227343Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5d22e78e-4949-4782-81b7-48adb871ed1b · outbound

This paper cites Matherne, Alejandro H.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Matherne, Alejandro H

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:41.063512Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 525d73b4-1d53-4fab-ba2d-3133e60808b3 · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:40.888488Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03a86ff4-ba99-40bc-a490-ed21697f4e84 · outbound

This paper cites Cylindric $P$-Tableaux for (3+1)-Free Posets.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Cylindric $P$-Tableaux for (3+1)-Free Posets

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:39.199354Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8c115d1-4767-47f6-a144-37c9e6c3bf01 · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:40.715831Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2adf39b0-4ba4-45f3-8c81-501adaefbd1c · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:40.509402Z

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Observation 0889727f-6ef7-4722-a3fb-8d5b5e21d819 · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:40.331925Z

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Observation 80bebd13-398b-4e2d-8e17-cce8b5bfaaa2 · outbound

This paper cites an unresolved cited work.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:32:40.195604Z

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Observation db10634b-94f5-43e0-b8d8-c627ca5a8774 · outbound

This paper cites Stanley and John R.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis Stanley and John R

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:40.024875Z

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Observation 95abf204-9d07-4046-aa8b-c377ab2f3852 · outbound

This paper cites A signed $e$-expansion of the chromatic quasisymmetric function.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A signed $e$-expansion of the chromatic quasisymmetric function

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:32:39.176043Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 748504a7-576c-4994-8ae1-11dd2046d933 · outbound

This paper cites A class of trees determined by their chromatic symmetric functions.

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis A class of trees determined by their chromatic symmetric functions

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:32:39.822451Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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