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Paper Citation Record · LEDGER

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2508.15538.

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

pith.paper-citation-record.v1
2508.15538 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:58:51.156385Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T11:44:30.308215Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T12:13:27.316911Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dcf22d96-98c3-48dc-ad1a-fae5cd813370 · outbound

This paper cites Athanasiadis, Theo Douvropoulos, and Katerina Kalampogia-Evangelinou, Two classes of posets with real-rooted chain polynomials, Electron.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Athanasiadis, Theo Douvropoulos, and Katerina Kalampogia-Evangelinou, Two classes of posets with real-rooted chain polynomials, Electron

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:54.595109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.434559Z digest=sha256:4e7a202f4fe69fa2a8084944c2c6586f2adc5d8ea467eedb7e3f7a5ce699c1ba

Observation 25caf1ca-f5b6-4733-8803-57179a726b55 · outbound

This paper cites Athanasiadis and Katerina Kalampogia-Evangelinou, Chain enumeration, partition lattices and polynomials with only real roots, Comb.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Athanasiadis and Katerina Kalampogia-Evangelinou, Chain enumeration, partition lattices and polynomials with only real roots, Comb

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:54.461668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.520049Z digest=sha256:0bfbdd2d1d0a64fd56adea236bceda2fb6a1867c0f3e210f1a280e380991da42

Observation 9a315b84-456f-4df4-b0b7-3110924d8d73 · outbound

This paper cites Athanasiadis, Gamma-positivity in combinatorics and geometry, S\'em.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Athanasiadis, Gamma-positivity in combinatorics and geometry, S\'em

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:54.302481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.633892Z digest=sha256:515a1aa6c55519d14361f0317fd49c2ad144978ecbf61b72916f760ed1776733

Observation e52cf45f-6e57-4d4d-bbbf-3b1fd3e412e2 · outbound

This paper cites 437--483.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted 437--483

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:54.149146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.766594Z digest=sha256:5c8c4ac7a684cbb4181ebee7e31c8e2d88b03d933133863d8bea34b28dd411b8

Observation f84694dc-e2c1-4c9f-bbff-faae67a7b0db · outbound

This paper cites an unresolved cited work.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:58:53.941933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.853064Z digest=sha256:7f6df9adc904c0d57ae7e652a75014005380be69c4f187466c0047a38203fc01

Observation 82313fed-044b-4053-8fdf-a275829d5022 · outbound

This paper cites Pi 11 (2023), Paper No.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Pi 11 (2023), Paper No

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:53.785128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:49.974731Z digest=sha256:7f35402a466e92f854e2888f1064964c75ab6ed53802d617967eabf80dc39824

Observation ac1f9eb2-5f9d-4428-ba63-97c905f05026 · outbound

This paper cites an unresolved cited work.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:58:53.601243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.113154Z digest=sha256:d3ae8d9c4554ec4dd63cffc881b3215854ee4c934ab1224db14e876bdb09412a

Observation 8542709f-e35e-48a5-a7ee-8ee0ba416d15 · outbound

This paper cites Matherne, Matthew Stevens, and Lorenzo Vecchi, Hilbert- P oincar\'e series of matroid C how rings and intersection cohomology , Adv.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Matherne, Matthew Stevens, and Lorenzo Vecchi, Hilbert- P oincar\'e series of matroid C how rings and intersection cohomology , Adv

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:53.362583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.203700Z digest=sha256:288c253931eb46b7febf9b14481734c743b32f438b34a28006ce4e939ce91525

Observation e8029e4b-51ff-4e84-90bd-46afa10b2b1e · outbound

This paper cites Matherne, and Lorenzo Vecchi, Chow functions for partially ordered sets, 2024.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Matherne, and Lorenzo Vecchi, Chow functions for partially ordered sets, 2024

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:53.137932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.308898Z digest=sha256:62b7f14611ca6efff74eae2b1b963c5405928b08c4a1a7e937cb8ce32c7e2f43

Observation e60dbba9-d43f-43b8-8174-a2929ad93638 · outbound

This paper cites Sch\"utzenberger, Th\'eorie g\'eom\'etrique des polyn\^omes eul\'eriens, Lecture Notes in Mathematics, vol.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Sch\"utzenberger, Th\'eorie g\'eom\'etrique des polyn\^omes eul\'eriens, Lecture Notes in Mathematics, vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:52.918163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.440788Z digest=sha256:94938472d378cf1efd606a45b6c96423b4f0c50daa7a6e72a5f9231cc52e7cbd

Observation 7d423033-6b13-43f0-8692-642a992cba97 · outbound

This paper cites an unresolved cited work.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:58:52.710933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.537173Z digest=sha256:5423797d872d0015a98d33c26c6ac8abac40864e026b6ba8b9b5522e03951da8

Observation 24addadc-b06b-4be1-89db-859a266dbc8f · outbound

This paper cites an unresolved cited work.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:58:52.473928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.622584Z digest=sha256:62a0ba6547cd7d2216b8bd5b3a06302fad0c41c114834eb810fa9a0248af7eb2

Observation 18ad30df-df5f-460a-939f-5462a243444d · outbound

This paper cites Zhang, Real-rootedness of variations of E ulerian polynomials , Adv.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Zhang, Real-rootedness of variations of E ulerian polynomials , Adv

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:52.254319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.738692Z digest=sha256:2891152a69426b2fd63cb6eb193f7422a1b2d7d65825dd6a05a4594521089a6d

Observation b5444fc6-7aed-4f06-8683-fd6181999ddc · outbound

This paper cites auser Advanced Texts: Basler Lehrb\.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted auser Advanced Texts: Basler Lehrb\

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:52.036446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.850202Z digest=sha256:5ca02614395eea2525d351aa68d79be54e51fd0b9bbb3c837495132eab33e80f

Observation 67bde003-22cf-4515-952d-f6ec5b683c77 · outbound

This paper cites Stanley, Combinatorics and commutative algebra, second ed., Progress in Mathematics, vol.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Stanley, Combinatorics and commutative algebra, second ed., Progress in Mathematics, vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:51.809884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:50.932903Z digest=sha256:f7eeb65797dd0b0c9e469f1d1802288158f2b0601268201d6bca61b0e01fe7ee

Observation d1b3afb9-4d32-4679-a957-f2237d60a537 · outbound

This paper cites Wachs, Gamma-positivity of variations of E ulerian polynomials , J.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Wachs, Gamma-positivity of variations of E ulerian polynomials , J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:51.581227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:51.042342Z digest=sha256:21d7cd97aea715eabad3580d1d01d03cefda662bd864ee4802f6652caa626cea

Observation aacf7061-4ca8-494d-9d64-b968ae1cd469 · outbound

This paper cites Wagner, Total positivity of H adamard products , J.

Chow polynomials of simplicial posets with positive $h$-vector are real-rooted Wagner, Total positivity of H adamard products , J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:58:51.351809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T17:58:51.156385Z digest=sha256:f8e8ca0ff9e35f1ee72d0ce8535c89c01906ac006a6c62384dfb0a951567b3bd

Pith citing papers

Observation 56b34806-d629-4a84-ac8f-6133ea836545 · inbound

Matroid analogues of Gal's conjecture cites this paper.

Matroid analogues of Gal's conjecture Chow polynomials of simplicial posets with positive $h$-vector are real-rooted

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:15:50.278729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T20:04:31.783706Z digest=sha256:d0ac455948ebf91b04ff9672f3db0445052b481e3298bd28d803f3826bd0d8b8

Observation e1189aac-a655-4304-9cdd-bf1f46a1b8a3 · inbound

Dual Chow polynomials of matroids and posets cites this paper.

Dual Chow polynomials of matroids and posets Chow polynomials of simplicial posets with positive $h$-vector are real-rooted

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-06-29T12:13:27.318224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-29T11:44:30.308215Z digest=sha256:dd16d724b63e412ac31da7df64e3eb474a1ed0bdddc13e54370f443cd3175517