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Paper Citation Record · LEDGER

Inversions Tableaux

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2507.11516.

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

pith.paper-citation-record.v1
2507.11516 v3

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:21:35.328372Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:35:37.929978Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:49:50.847700Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9490026-18bd-4859-8e47-25576b6c14f0 · outbound

This paper cites A combinatorial construction of the Schubert polynomials.

Inversions Tableaux A combinatorial construction of the Schubert polynomials

Reference 1

Resolution
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raw_fallback, observed 2026-08-06T17:21:35.729430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.213253Z digest=sha256:4d4d96757d8df1d444b849f08545c11f64f868152b2c6e8d7d3efb4a6c6bbc61

Observation d42ad0fe-87f9-4088-ba47-69f3d7d91e1e · outbound

This paper cites RC-graphs and Schubert polynomials.

Inversions Tableaux RC-graphs and Schubert polynomials

Reference 2

Resolution
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raw_fallback, observed 2026-08-06T17:21:35.714015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.220941Z digest=sha256:aacea0596314ca37df629455420bd0fbc43ab61746e306406c344223d59000c2

Observation 2a0ae050-fddf-408c-9b1c-f83308231918 · outbound

This paper cites Schubert cells and cohomology of the spaces G/P.

Inversions Tableaux Schubert cells and cohomology of the spaces G/P

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.227919Z digest=sha256:c7d56a6ccf3ec99c7914ad75e689a4223309e26398a346c1fc1c9026bac6522f

Observation ddad4424-ff0b-48c0-b0be-97083a2f2f12 · outbound

This paper cites Some combinatorial properties of Schubert polynomials.

Inversions Tableaux Some combinatorial properties of Schubert polynomials

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.232947Z digest=sha256:42b21d89fb4ae41f2aec45457774e6c26a98bee49b9fadb29f38d33d7a033756

Observation c97e2d0f-72cd-4e61-9f35-cca76c59e758 · outbound

This paper cites Désingularisation des variétés de Schubert généralisées.

Inversions Tableaux Désingularisation des variétés de Schubert généralisées

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.238941Z digest=sha256:a227acbef961c427a2eb218107984180bc12e3cd1d18ace76e2f210223d70c9e

Observation 03afbb6d-d39a-4340-aeeb-856926201d2b · outbound

This paper cites Balanced tableaux.

Inversions Tableaux Balanced tableaux

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.245045Z digest=sha256:7d97da3591044c2c66ce8561ea00d4191be2a49b4b74e89bf6152c1538f971c7

Observation 429e12bc-a0f4-4782-b098-0f2ced7d899e · outbound

This paper cites Schubert Polynomials and the Nilcoxeter Algebra.

Inversions Tableaux Schubert Polynomials and the Nilcoxeter Algebra

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.252449Z digest=sha256:441fcb42c4847ab69e04bfe5e9116e69180fc7ceff5491e25ab7aac4b3a3ee66

Observation 3ef960cb-0ef7-494d-b320-2d9b8300c244 · outbound

This paper cites Balanced Labellings and Schubert Polynomials.

Inversions Tableaux Balanced Labellings and Schubert Polynomials

Reference 8

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raw_fallback, observed 2026-08-06T17:21:35.594961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.258489Z digest=sha256:e401fda3300edf6b3d76b9de36f0223f06a2badfd9dc70196a0565554ff7aabe

Observation 422f2f42-c591-4d9f-945e-53b29b6af4e5 · outbound

This paper cites The Yang-Baxter equation, symmetric functions, and Schubert polynomials.

Inversions Tableaux The Yang-Baxter equation, symmetric functions, and Schubert polynomials

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.271387Z digest=sha256:ae7d39da8d40a39504003af6b45dfbc32638026a44d66fc396a848d1031fba3f

Observation 6487fd78-48b3-4d96-9d54-325f9949f969 · outbound

This paper cites Back stable Schubert calculus.

Inversions Tableaux Back stable Schubert calculus

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.279267Z digest=sha256:9ba8691a1a057b3abc3bb0ed749027e80d3f86aa712e0689f064af973e4db4fc

Observation 13c27bf4-d1bd-4328-9405-065e1768166a · outbound

This paper cites Polynômes de Schubert.

Inversions Tableaux Polynômes de Schubert

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.285602Z digest=sha256:e9396f635a7da96248f2758550d89da78c8a24154e2624cf84509f3f4236f59e

Observation b0ec648b-e012-443a-8324-9fefccdc849e · outbound

This paper cites Skew Schubert polynomials.

Inversions Tableaux Skew Schubert polynomials

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.291315Z digest=sha256:b59ea81ac04c5be51c8097cbe9e820af4494d5e76a97a99eec463ae4ffcd61a1

Observation 7abc162c-4f41-464a-ad1c-ac3177681d39 · outbound

This paper cites Group characters and algebra.

Inversions Tableaux Group characters and algebra

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.298326Z digest=sha256:1c273626567a4cb051cd4f7f77aa13fae457794505e3829180be6208e94424a6

Observation cdcf7df2-825a-43e5-aa6a-d261b7ce13a6 · outbound

This paper cites Maximal 0–1-fillings of moon polyominoes with restricted chain lengths and rc-graphs.

Inversions Tableaux Maximal 0–1-fillings of moon polyominoes with restricted chain lengths and rc-graphs

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:21:35.304561Z digest=sha256:c1c7bbf9d98f9d76f3e240c96b6f0a3d25f249f0cc4586fa17c7a8906415b5c7

Observation 403e2766-74db-449a-9bf3-6f6ae71f2952 · outbound

This paper cites an unresolved cited work.

Inversions Tableaux Unresolved cited work

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:21:35.311483Z digest=sha256:2ad1a7a19c0d5f171a4bb19fa3e80a0f4db82cf636a9de61bb436ac95d7daaac

Observation 8605046e-20b3-4ff6-8b17-c8c8cb8ef71b · outbound

This paper cites On the number of reduced decompositions of elements of Coxeter groups.

Inversions Tableaux On the number of reduced decompositions of elements of Coxeter groups

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.317752Z digest=sha256:c910031af680a2167110035ab032fea76ea3f1482f6b5743a98412c8480f032a

Observation 77fc7111-f1f9-40e2-a231-705122234886 · outbound

This paper cites A concise proof of the Littlewood-Richardson rule.

Inversions Tableaux A concise proof of the Littlewood-Richardson rule

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.322504Z digest=sha256:19d7ddb2d78b4042a24e016865a4a076c1b25d3febd68ab1812834918ee0a61a

Observation 84e72c99-2032-4cac-9826-7ebc01cae4c9 · outbound

This paper cites Flagged Schur functions, Schubert polynomials, and symmetrizing op- erators.

Inversions Tableaux Flagged Schur functions, Schubert polynomials, and symmetrizing op- erators

Reference 18

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T17:21:35.328372Z digest=sha256:17815430669cb33f148b017724e312eaf9348f66a87b35d7a3084191332a72a1

Observation 15487ec3-502a-4d5e-98ce-ae4e0e7f5cad · outbound

This paper cites doi: https : / / doi.

Inversions Tableaux doi: https : / / doi

Reference 389

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source=pdf_text observed=2026-08-06T17:21:35.264666Z digest=sha256:30290921c84fe35dbbeae032780581119679c7048fc53ded9baf09328681929e

Pith citing papers

Observation a910dd50-ed5c-4e42-a0a1-6d7ecd6fdaa3 · inbound

Chute Move Posets are Lattices cites this paper.

Chute Move Posets are Lattices Inversions Tableaux

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:35:37.929978Z digest=sha256:2e121a387c13c869abe3f52401027e1b775148b8a3e1b2a2eb20615ed3a647d1

Observation c0ce0c42-7baf-4ad6-bbdb-53e1cae740f9 · inbound

A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra cites this paper.

A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra Inversions Tableaux

Reference 106

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arxiv_id, observed 2026-07-14T02:22:28.509561Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-26T07:34:59.083569Z digest=sha256:46e50e232d7e07778296860907c43c29cbf6aeeb80367cd377229919298870da