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Paper Citation Record · LEDGER

A tableaux formula for $q$-rook numbers

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.00766.

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

pith.paper-citation-record.v1
2507.00766 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:36:16.420557Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

14 of 14 outbound references displayed

  • verified exact3
  • verified fuzzy8
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4edc2976-1579-4921-9101-f279d17c3514 · outbound

This paper cites Chromatic symmetric functions from the modular law.

A tableaux formula for $q$-rook numbers Chromatic symmetric functions from the modular law

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.568269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.168400Z digest=sha256:ffda4e16e1b7f669650fea9cf3a0669ae72b3c980e2a70a6d255d5b5a97004a3

Observation f7a14c6b-1648-46e5-8534-f0dc94ff2a6e · outbound

This paper cites A symmetric function of increasing forests.

A tableaux formula for $q$-rook numbers A symmetric function of increasing forests

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.558916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.227163Z digest=sha256:f8d61b17dbe0ceadb4d5c7ee8b2b21ed6f547cd44dddbebcf0c60905565c73b3

Observation 827db057-dceb-43d4-9d31-7987227fc699 · outbound

This paper cites A Survey of $q$-Whittaker polynomials.

A tableaux formula for $q$-rook numbers A Survey of $q$-Whittaker polynomials

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:36:16.482273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.342770Z digest=sha256:d6b3f5e10f760b47a572998b11af535102c654043c8ad262b8197a7e37e97d8d

Observation bdd8a806-b9c8-4559-ac52-2dc4bc923b14 · outbound

This paper cites A proof of the shuffle conjecture.

A tableaux formula for $q$-rook numbers A proof of the shuffle conjecture

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.550452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.392353Z digest=sha256:4c8d649d1e5e282110f552dc3e84fa2e49b65bf078b848296c9173398fa18003

Observation 1637961c-49ed-4c14-92e3-2e40e17b4fda · outbound

This paper cites Morales, and Greta Panova.

A tableaux formula for $q$-rook numbers Morales, and Greta Panova

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.541011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.395426Z digest=sha256:076993e9217474b6ee7030ef23e7fbe1683ef6ba68c03a6fafbb86dc09e5c901

Observation 6ba5e568-477a-4ca0-b918-810cce9d6eea · outbound

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

A tableaux formula for $q$-rook numbers On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T21:36:16.398705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:36:16.398705Z digest=sha256:ca83a7148684a8f5b8480a2213b2f89cfbd09ce085637e0d5a7eb481dd403e6f

Observation 888c7ad5-ae5a-48ea-98f2-4e5cb1a799c4 · outbound

This paper cites an unresolved cited work.

A tableaux formula for $q$-rook numbers Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:36:16.531269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.401960Z digest=sha256:cd4733a81ef9aa71ba608901ca3da3b7cfeaaf31a153db7a078c2f895b0ea1b7

Observation 29e7e46a-0d87-42a8-b0b4-2caae0b31356 · outbound

This paper cites Some partitions associated with a partially ordered set.

A tableaux formula for $q$-rook numbers Some partitions associated with a partially ordered set

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.522866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.404468Z digest=sha256:15e80a27ec41894508348af041b6c346f3dad2bfe37030c92dc3ae3ff2c85510

Observation fdea1137-2a28-4572-b096-7e01548c8cc8 · outbound

This paper cites \(q\) -rook polynomials and matrices over finite fields.

A tableaux formula for $q$-rook numbers \(q\) -rook polynomials and matrices over finite fields

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.513637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.407062Z digest=sha256:b0309bfb461b9c8e987f630571857bc0eb5856e9f1799a0ebb4e36ed79fb6385

Observation b79c85bc-aaea-48d5-8f6e-32c2d3160ecf · outbound

This paper cites The \(q,t\) - Catalan numbers and the space of diagonal harmonics.

A tableaux formula for $q$-rook numbers The \(q,t\) - Catalan numbers and the space of diagonal harmonics

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.505151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.409690Z digest=sha256:c43f2dd2d6c3e6a1c83813308c65939e440db7a2fd3d3c3e14264a9b0ccb6b9a

Observation 4c4ba581-32e6-4e6d-bac0-b56b1ad81ed1 · outbound

This paper cites Haglund, M.

A tableaux formula for $q$-rook numbers Haglund, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:36:16.496136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.412263Z digest=sha256:78b4ed2ac6f6ca8f9d45afa79ade26250271bfe794960be25a4b984f7b91cc9c

Observation 14d60132-5816-44ba-ab4c-fa6f31fd1940 · outbound

This paper cites Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements.

A tableaux formula for $q$-rook numbers Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:36:16.462603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.415086Z digest=sha256:96a39f627420a51f45a64a8644b929fca14e218df63a98246aadcc113ba49ade

Observation 09dec498-8bd3-407b-bc0e-43f103e29adc · outbound

This paper cites an unresolved cited work.

A tableaux formula for $q$-rook numbers Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T21:36:16.418299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:36:16.418299Z digest=sha256:7554d9982f55d1c4ce5b86a899eade83e0c5e43a0118085e8a1e091035077b75

Observation c836c955-cfa5-4cb3-8c93-91ae27586900 · outbound

This paper cites Diagonal operators, $q$-Whittaker functions and rook theory.

A tableaux formula for $q$-rook numbers Diagonal operators, $q$-Whittaker functions and rook theory

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:36:16.450217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.420557Z digest=sha256:99f13f3c4220ddce350168bb4da61d2241857c16ed167fc31145d54b52c73de2

Pith citing papers

No inbound Pith citation observations are available.