Paper Citation Record · LEDGER

Real-rootedness of rook-Eulerian polynomials

As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2502.05939.

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

pith.paper-citation-record.v1
2502.05939 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:28:13.143920Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:37:44.516002Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:37:44.660178Z

Reference resolution

16 of 16 outbound references displayed

verified exact6
verified fuzzy2
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9e1170a-3b37-4f95-9798-f6f376183b67 · outbound

This paper cites Polyhedral combinatorics of bisectors.

Real-rootedness of rook-Eulerian polynomials Polyhedral combinatorics of bisectors

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T17:28:13.529932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e76b377f-acde-4e24-9965-a9a9236415e9 · outbound

This paper cites Peaks are preserved under run-sorting.

Real-rootedness of rook-Eulerian polynomials Peaks are preserved under run-sorting

Reference 2

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.304722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47580611-94ca-482d-bdb0-a6ec02ec7b15 · outbound

This paper cites an unresolved cited work.

Real-rootedness of rook-Eulerian polynomials Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.289015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cba0e5a8-e764-4baf-ac76-9e51885a742b · outbound

This paper cites Unimodality, log-concavity, real–rootedness and beyond.

Real-rootedness of rook-Eulerian polynomials Unimodality, log-concavity, real–rootedness and beyond

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.083773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 737a8a83-47b3-4aef-8f6c-3524952e6f05 · outbound

This paper cites Unimodal, log-concave and P \' o lya frequency sequences in combinatorics.

Real-rootedness of rook-Eulerian polynomials Unimodal, log-concave and P \' o lya frequency sequences in combinatorics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.089199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 496c58b9-f41b-40a6-a0d7-9b7d5533aed5 · outbound

This paper cites Linear extensions of finite posets.

Real-rootedness of rook-Eulerian polynomials Linear extensions of finite posets

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.096363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 087851b7-d99d-4d5b-aaf7-ed30ac3b5728 · outbound

This paper cites Rook poset equivalence of F errers boards.

Real-rootedness of rook-Eulerian polynomials Rook poset equivalence of F errers boards

Reference 7

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.254960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c8e5fe58-23aa-47c3-a2b7-703387ff20a0 · outbound

This paper cites Enumerative properties of F errers graphs.

Real-rootedness of rook-Eulerian polynomials Enumerative properties of F errers graphs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.106844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1616065b-d01a-413d-9b63-d4a30886111a · outbound

This paper cites \" U ber die B ernoullischen und die E ulerschen P olynome.

Real-rootedness of rook-Eulerian polynomials \" U ber die B ernoullischen und die E ulerschen P olynome

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:28:13.561021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3e74146-e0ac-490e-96c5-28cad4c33a2d · outbound

This paper cites Markov chains for linear extensions, the two-dimensional case.

Real-rootedness of rook-Eulerian polynomials Markov chains for linear extensions, the two-dimensional case

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:28:13.545046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d94cca3f-2592-49e7-8129-cf8fe5313c0b · outbound

This paper cites (m, i) -multiset E ulerian polynomials.

Real-rootedness of rook-Eulerian polynomials (m, i) -multiset E ulerian polynomials

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.120960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 167788b8-ec8d-406f-9d4a-4a83bb1155f0 · outbound

This paper cites A multiindexed sturm sequence of polynomials and unimodality of certain combinatorial sequences.

Real-rootedness of rook-Eulerian polynomials A multiindexed sturm sequence of polynomials and unimodality of certain combinatorial sequences

Reference 12

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.229871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 53a5093f-dcfe-46bc-98fb-07d83ea8b1ea · outbound

This paper cites Bruhat intervals as rooks on skew F errers boards.

Real-rootedness of rook-Eulerian polynomials Bruhat intervals as rooks on skew F errers boards

Reference 13

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.215410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 00ccc8a8-4813-4f2e-8a5f-4288c807121f · outbound

This paper cites Stembridge.

Real-rootedness of rook-Eulerian polynomials Stembridge

Reference 14

Resolution: verified exact; doi, observed 2026-08-08T17:28:13.199527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4eaf38f7-e2a9-46ba-9b15-f30213bf888d · outbound

This paper cites Savage and Mirk \' o Visontai.

Real-rootedness of rook-Eulerian polynomials Savage and Mirk \' o Visontai

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-08T17:28:13.139462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08ac0a5d-a300-4cf2-96e2-17ba695a1eb9 · outbound

This paper cites Descents of permutations in a F errers board.

Real-rootedness of rook-Eulerian polynomials Descents of permutations in a F errers board

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-08T17:28:13.143920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 58dfb921-0e5e-4bdf-b0e7-f7fda879abca · inbound

Guessing sequences of eigenvectors for LMPs defining spectrahedral relaxations of Eulerian rigidly convex sets cites this paper.

Guessing sequences of eigenvectors for LMPs defining spectrahedral relaxations of Eulerian rigidly convex sets Real-rootedness of rook-Eulerian polynomials

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:37:44.663796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.