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Paper Citation Record · LEDGER

A tableaux formula for $q$-rook numbers

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.168400Z digest=sha256:99dce68d438890104ffecb4cffb2562b4b5fb342cbb04f9207124009f011650e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.227163Z digest=sha256:b02cbf5f55188c1be500f7f05aa2502f58087ce512a4aa1c6cda3d020e105de8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.342770Z digest=sha256:bafc64cdc2028c3701adb679ff61b941d584fe93bb5da24db53285abc1e42742

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.392353Z digest=sha256:dbe2fb4428f0287d01a81417eee2626b90e4b41e02214054d3b4ccdfeb9d5980

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.395426Z digest=sha256:3664b8b00b459d144249bdcb1dced76306470295b6ebd86b6229a06c809be160

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:ebe7f09462a863af28673fb8c7e70032ace0617fa0440daca7ee5f84e6689ffb

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.401960Z digest=sha256:156032047ca97bc551850214fbd406a51707cb6d4edaca7c04707d15c3acd3b7

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.404468Z digest=sha256:75e21d57e1e93e93c50c40fc4279387974a2098bb9fd5ff7ea39ccfed99f87a1

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.407062Z digest=sha256:f1616110302ffa06c3d3723cabe83f745d969cb76afa67b6b62559cf834c3b77

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.409690Z digest=sha256:76d7b4e6eb81223b50a314791b4eec9f99230a46f887039b8ac7d65a1ed1f1ee

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.412263Z digest=sha256:9ef95cdd03bc3fae78842f4491859a5097e720cafa9065c97cb773847ea96bd6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.415086Z digest=sha256:eb5121880531af51fa86aa4b9c6ca23cf958acd4131ae0307e91bbea9ba378b3

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.420557Z digest=sha256:77c69637664fcb00947255fa5f995460b3dbed887a2510e74afeb1a5598ea562

Pith citing papers

No inbound Pith citation observations are available.