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Paper Citation Record · LEDGER

A tableaux formula for $q$-rook numbers

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.168400Z digest=sha256:69b732a84a48da2a251ae788c4e013bfb3823d56cac418be7dc48ee8c840e504

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.227163Z digest=sha256:39e33a3610d94c573c76e44687c14f11658b63604b5d32e08bc8d0c9b4b21ec9

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.342770Z digest=sha256:2fad5d5d29e31c6058cfaa883361ea6f5d4bebc91df498473e49ea8beac1e020

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.392353Z digest=sha256:a742ef0054f204b8c925eb634fb8220b2ed374fe013541bc4bfce4c71351870e

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.395426Z digest=sha256:006ac95b43d38e45097aa3af9a6e6fafedb824e63fb42854c3dc5558ce4561ea

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:f5119af6232ba83c9b0edacc0c001cef8b420512df229ec53d0423df4f527f87

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.401960Z digest=sha256:e32d702da9a04b57d6d627126fc72b287a3593c7190b95976b588f5f42e1fd78

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.404468Z digest=sha256:32a7472e4d1e58c0a352914ff5d716e291510c5636875c41e88fc89bbeafa12b

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.407062Z digest=sha256:ff6b3c5fa26a66ac9d0ec913ef8a307d6b8b659d54944210fea2482b3600c454

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.409690Z digest=sha256:b3afa9eaf7dae8de495e36e93174dd12b9ee7f85e3b8c431c27c68749b539ab3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.412263Z digest=sha256:ffd20adf48b7bb5df9cf9afc1dbd8209c30188ec666450a956c0d803217d8a71

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.415086Z digest=sha256:f1a3af960d7236d4dc4350db11defc51c6597de88e0e1cf9e94c7f8c4a4900d4

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=sha256:75028ab40162dd6c51ffac4fdf54efec7dea9e837e3d9d3362c2250604e001ca

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T21:36:16.420557Z digest=sha256:fad2090c0cf328889f33febf8d296b0424149146cceeeb3c731f02c56d345d8a

Pith citing papers

No inbound Pith citation observations are available.