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Paper Citation Record · LEDGER

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

As of 19 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 2026-08-19T06:32:44.657259+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

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

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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source=pdf_text observed=2026-08-05T11:32:39.040323Z digest=sha256:a9db4aa8188f1e9c3ecf075185e61aa97832a7f398a348c5b8a4affd4af89154

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

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

Reference 31

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

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

Reference 32

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

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

Reference 33

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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

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

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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

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raw_fallback, observed 2026-08-05T11:32:40.024875Z

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.

source=pdf_text observed=2026-08-05T11:32:39.122654Z digest=sha256:f78025d6322fa430ff759bd801fb03d47ff05c9414121b1156e02cc15e27d834

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

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.

source=pdf_text observed=2026-08-05T11:32:39.127512Z digest=sha256:faf9909ccb6eff4b7fe8228bbd8f4a40a309365768d6b95422cce61ed77bdc07

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

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.

source=pdf_text observed=2026-08-05T11:32:39.132692Z digest=sha256:3b42a61b3984dcbd46597df39ee91efec330969ef0affd1203e7743c60929b1c

Pith citing papers

No inbound Pith citation observations are available.