Paper Citation Record · LEDGER

Richardson volume models for skew Schur and skew Schur $P/Q$-functions

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.10516.

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

pith.paper-citation-record.v1
2608.10516 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:38:01.352655Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

32 of 32 outbound references displayed

verified exact5
verified fuzzy13
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 191c9313-8ed7-4f22-a015-d59d1b6fbb80 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.930152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5eea5031-24ea-4416-b172-a5edc72f2c75 · outbound

This paper cites Postnikov--Stanley polynomials are Lorentzian.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Postnikov--Stanley polynomials are Lorentzian

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T14:38:01.218364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93e5463b-4dc6-465e-b51b-82df039b8d56 · outbound

This paper cites The Quasisymmetric Grassmannian.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions The Quasisymmetric Grassmannian

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:38:01.590877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a8f149ba-edf9-46cf-ab2c-a1976e169582 · outbound

This paper cites Brändén and J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Brändén and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.917053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f73871c2-b58b-48a8-a847-93878eec77b9 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.903175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a8e8821-41b1-427d-bbc4-a0a1083df941 · outbound

This paper cites Brion,Lectures on the geometry of flag varieties, in Topics in cohomological studies of algebraic varieties, Trends Math., Birkhäuser, Basel, 2005, pp.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Brion,Lectures on the geometry of flag varieties, in Topics in cohomological studies of algebraic varieties, Trends Math., Birkhäuser, Basel, 2005, pp

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.889977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation adf910c6-d643-42d1-aa1d-e000d8e78182 · outbound

This paper cites Correlation inequalities for Schur positivity.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Correlation inequalities for Schur positivity

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T14:38:01.242005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2effd17-e791-453e-89f3-77a820d4ed84 · outbound

This paper cites Chin and D.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Chin and D

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:38:01.555742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b71b72dd-95d6-480a-a808-99c6fbe09287 · outbound

This paper cites Mixed Segre zeta functions and their log-concavity.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Mixed Segre zeta functions and their log-concavity

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:38:01.464218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a4c053de-d9ff-408c-bef1-d1d7db6598d3 · outbound

This paper cites Fulton,Intersection theory, second ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, vol.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton,Intersection theory, second ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.875285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55ca79d5-a4c4-4898-9a21-f2ed87bd157a · outbound

This paper cites Fulton and P.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.861884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8bc04715-a775-4053-8181-b0157c407cb3 · outbound

This paper cites Fulton,Young tableaux, London Mathematical Society Student Texts, vol.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Fulton,Young tableaux, London Mathematical Society Student Texts, vol

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.848483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0a4ccc87-8641-4e4f-9b82-82fcd8bd2d0b · outbound

This paper cites Linear operators preserving volume polynomials.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Linear operators preserving volume polynomials

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T14:38:01.269895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6930def7-8a8d-451d-a07d-8f0270237f57 · outbound

This paper cites Hironaka,Resolution of singularities of an algebraic variety over a field of characteristic zero.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Hironaka,Resolution of singularities of an algebraic variety over a field of characteristic zero

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.834148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 89d1db9c-3661-466a-8274-59c1e6b61597 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.820830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7fdbbbea-5664-4567-9782-99c76c6704ba · outbound

This paper cites Volume polynomials.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Volume polynomials

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:38:01.430436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80633a1a-e89e-4101-8d24-8f8b4f077551 · outbound

This paper cites Jiang and Z.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Jiang and Z

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.807478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d8183cdd-3e00-41de-9b34-3b5492bd246e · outbound

This paper cites A skew Murnaghan--Nakayama rule for Hopf dual pairs.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions A skew Murnaghan--Nakayama rule for Hopf dual pairs

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:38:01.410188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e2c674e9-3800-4b72-9e70-d0cb68038b77 · outbound

This paper cites Kresch and H.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Kresch and H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.793824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23dda8c0-a12d-47a8-89f3-efd50917ef01 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.779926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fec4ba83-dbb7-415d-8a88-783331b0ccdd · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.766667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b254c99b-39e7-4bd6-b79a-66441bc598db · outbound

This paper cites Lehmann and J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Lehmann and J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.752983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2755661f-fa28-445b-bcc8-cc15481160a5 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.739679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c12edcfb-221e-4657-a5c9-db59456a6265 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.725678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 616a77f9-5bb6-4d1c-9879-08ad5212ea67 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.712193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eb8c2ba6-2f3a-42d5-84ea-dfd03db14ea7 · outbound

This paper cites Monical, N.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Monical, N

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.697032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7a71b36-f478-4c7b-a82f-864766e2dee4 · outbound

This paper cites Murota,Discrete convex analysis, SIAM Monographs on Discrete Mathematics and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 2003.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Murota,Discrete convex analysis, SIAM Monographs on Discrete Mathematics and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 2003

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.680221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 851af4e0-5737-4766-b220-799a6fd35ddb · outbound

This paper cites The geometry of quasisymmetric coinvariants.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions The geometry of quasisymmetric coinvariants

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T14:38:01.334114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54e3b1bf-a1aa-4cd8-af9c-4e6edf3a1d21 · outbound

This paper cites Rado,An inequality, J.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Rado,An inequality, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.665676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c82b3a09-dab9-4cc2-8421-cf8f50c22eef · outbound

This paper cites Shaw and S.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Shaw and S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:38:01.651515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 30b74b02-e667-475c-96bb-e508be4afc14 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.636770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1fc6d7f-3d30-45c9-a492-750cc6c72ac7 · outbound

This paper cites an unresolved cited work.

Richardson volume models for skew Schur and skew Schur $P/Q$-functions Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:38:01.621028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.