Paper Citation Record · LEDGER

Richardson tableaux and Schubert positivity

As of 19 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 2 inbound Pith citation observations for arXiv:2510.12391.

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

pith.paper-citation-record.v1
2510.12391 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:03:11.539412Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:01:26.023337Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T19:27:19.296867Z

Reference resolution

50 of 50 outbound references displayed

verified exact0
verified fuzzy0
unresolved50
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57e7aa25-972c-45f3-b5af-af9fd98757d5 · outbound

This paper cites Aguiar and F.

Richardson tableaux and Schubert positivity Aguiar and F

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.468969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1caefd56-f976-4b27-a401-e89da0d30f1e · outbound

This paper cites Alman, C.

Richardson tableaux and Schubert positivity Alman, C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.535178Z

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Observation 69e8bac9-496f-4120-ac01-f82b45b7b7f9 · outbound

This paper cites Anderson and W.

Richardson tableaux and Schubert positivity Anderson and W

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.607907Z

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Observation a678793a-cd26-4735-aae3-7e0b25092095 · outbound

This paper cites Equivariant quasisymmetry and noncrossing partitions.

Richardson tableaux and Schubert positivity Equivariant quasisymmetry and noncrossing partitions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.703698Z

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Observation ce565208-aecb-4137-936c-5b68d9b76fa0 · outbound

This paper cites The quasisymmetric flag variety: a toric complex on noncrossing partitions.

Richardson tableaux and Schubert positivity The quasisymmetric flag variety: a toric complex on noncrossing partitions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.788682Z

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Observation 20ccf542-e650-475e-8c62-686e475ba9c9 · outbound

This paper cites Bergeron and F.

Richardson tableaux and Schubert positivity Bergeron and F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.862180Z

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Observation d6351282-cd9b-4a75-8f4f-6f229047dfd2 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:06.943100Z

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Observation 3989c217-7ae5-4ff6-9293-2a2ba23d0c89 · outbound

This paper cites Introduction to the Cohomology of the Flag Variety.

Richardson tableaux and Schubert positivity Introduction to the Cohomology of the Flag Variety

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.003244Z

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Observation f7399d34-4bc3-4149-8c38-fcf8a094c93b · outbound

This paper cites Björner and F.

Richardson tableaux and Schubert positivity Björner and F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.061927Z

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Observation 1ea48122-bf1a-4fe6-b5ba-705b3f14149e · outbound

This paper cites Björner and F.

Richardson tableaux and Schubert positivity Björner and F

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.136002Z

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Observation 3dc4467e-592b-4acf-bb64-d1e245f2b9fd · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.216278Z

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Observation 04711f58-9ce8-4b03-85b8-d18250bb3f2d · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.299996Z

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Observation 14fe30ec-1e29-4725-9254-2e41ea6078de · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.358714Z

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Observation 63ea7980-2d73-4c67-98cf-9cfb2c45df61 · outbound

This paper cites Develin, J.L.

Richardson tableaux and Schubert positivity Develin, J.L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.435043Z

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Observation 571844c5-6bc1-4766-b5bf-86cbd7fd675b · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.489881Z

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Observation b717f1b9-5b08-435c-a8f1-eca566e5fadc · outbound

This paper cites du Cloux.

Richardson tableaux and Schubert positivity du Cloux

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.543018Z

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Observation c767a91b-a56a-4b44-90d0-688c4851ad16 · outbound

This paper cites Fulton.Young tableaux, volume 35 ofLondon Mathematical Society Student Texts.

Richardson tableaux and Schubert positivity Fulton.Young tableaux, volume 35 ofLondon Mathematical Society Student Texts

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.599258Z

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Observation 84023a58-d418-40eb-83f9-9a7caa22a327 · outbound

This paper cites Gao and H.

Richardson tableaux and Schubert positivity Gao and H

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.665138Z

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Observation f44d096a-02f1-494f-ba35-92e84d18d8d9 · outbound

This paper cites Graham and R.

Richardson tableaux and Schubert positivity Graham and R

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.702153Z

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Observation aabf8432-27a6-49c8-bc2f-bd981b23efc5 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.768513Z

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Observation 7e24a03a-41a1-4696-b792-deeace1c35ea · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.810672Z

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Observation 7a416a9f-b2a0-4548-b98d-5ab086a9d537 · outbound

This paper cites Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants.

Richardson tableaux and Schubert positivity Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.813139Z

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Observation a6d4960c-fee1-442d-809f-1d4b937d1420 · outbound

This paper cites Josuat-Vergès and J.

Richardson tableaux and Schubert positivity Josuat-Vergès and J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:07.890568Z

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Observation d39c6c7e-c8af-43d1-baec-66d98060a146 · outbound

This paper cites Richardson tableaux and components of Springer fibers equal to Richardson varieties.

Richardson tableaux and Schubert positivity Richardson tableaux and components of Springer fibers equal to Richardson varieties

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.056396Z

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Observation 23edc9f4-4b94-4ffb-81d6-d4a02c628c6d · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.180588Z

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Observation dbd610d2-3060-4c16-a4a9-e46042b0ee3e · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.270663Z

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Observation 09549341-730a-48d6-bd13-73b465cfd9cb · outbound

This paper cites Knutson and T.

Richardson tableaux and Schubert positivity Knutson and T

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.375570Z

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Observation 9a49b2e7-6aaf-4013-a27c-cdd4a53eef35 · outbound

This paper cites Schubert puzzles and integrability III: separated descents.

Richardson tableaux and Schubert positivity Schubert puzzles and integrability III: separated descents

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.553297Z

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Observation 191b35f8-3c0f-474e-9dac-86db6386e838 · outbound

This paper cites Lascoux and M.-P.

Richardson tableaux and Schubert positivity Lascoux and M.-P

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.696325Z

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Observation e0322e31-22d9-47d1-99fd-aa0ccc608b7a · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:08.875370Z

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Observation b112975f-d869-4040-9c47-d39eb4f647e0 · outbound

This paper cites Loday and M.

Richardson tableaux and Schubert positivity Loday and M

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.056691Z

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Observation 8a609dc2-8c6e-4130-ae93-468c93239ad3 · outbound

This paper cites Loday and M.

Richardson tableaux and Schubert positivity Loday and M

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.224035Z

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Observation 506a7d85-0636-42cb-a2b6-b11ed5d5a32c · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.426769Z

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Observation 00e2dc99-8669-46a4-a070-7da06ec4b642 · outbound

This paper cites The geometry of quasisymmetric coinvariants.

Richardson tableaux and Schubert positivity The geometry of quasisymmetric coinvariants

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.620734Z

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Observation d5c1a6ae-2e05-4ca5-8347-fdc69b8302be · outbound

This paper cites Nadeau, H.

Richardson tableaux and Schubert positivity Nadeau, H

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.778747Z

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Observation 17a3f0f5-1368-459f-9312-6f1316882908 · outbound

This paper cites Signed puzzles for Schubert coefficients.

Richardson tableaux and Schubert positivity Signed puzzles for Schubert coefficients

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.924276Z

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Observation 0c8b8a27-0c83-4495-adb0-25335e8a330d · outbound

This paper cites Pak and C.

Richardson tableaux and Schubert positivity Pak and C

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.067554Z

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Observation 9a4f5216-016a-4899-9c15-dc7e7ea9d554 · outbound

This paper cites Pechenik and A.

Richardson tableaux and Schubert positivity Pechenik and A

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.205275Z

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Observation 8e2aeb0b-ac44-402e-94d7-cbe9dacb899a · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.347523Z

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Observation a10ca0df-17fe-4945-8e14-d9fde7a63f3c · outbound

This paper cites Schützenberger.

Richardson tableaux and Schubert positivity Schützenberger

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.556777Z

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Observation 00986379-7bda-4117-a962-3fcfedce16c9 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.628247Z

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Observation 19ed0ad7-566b-4a30-b13e-a1909d72e666 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.743816Z

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Observation aae47780-cdf8-408e-9703-f617f1bff979 · outbound

This paper cites Spaltenstein.

Richardson tableaux and Schubert positivity Spaltenstein

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.841553Z

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Observation 1457f276-895b-41e3-b9c3-0049cdadffab · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.081338Z

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Observation f605ddd5-c62c-45c2-9ba7-ea471578f43f · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.196184Z

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Observation 8c54aaf3-3664-47ee-9741-e9a087044db1 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.303549Z

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Observation 283dedb7-5953-4257-84c1-f7de2989adab · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.399420Z

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Observation d3486ae5-ce4c-475f-8b9c-adba7d79405a · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.464481Z

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Observation 0cbfecf7-4471-4d60-8db7-94e69767c645 · outbound

This paper cites Schubert geometry and combinatorics.

Richardson tableaux and Schubert positivity Schubert geometry and combinatorics

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:11.539412Z

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Observation 902891e7-d6bf-4af4-a65c-dfd1f9279b74 · outbound

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 1976

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:10.989263Z

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Pith citing papers

Observation 5bef640e-19e9-4e0d-b4b7-324ad8eeb9fb · inbound

Ideals defining components of two-row Springer fibers cites this paper.

Ideals defining components of two-row Springer fibers Richardson tableaux and Schubert positivity

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-30T02:04:24.179584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1153fdd-19e5-43b3-9d4c-7fad9c62d663 · inbound

The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components cites this paper.

The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components Richardson tableaux and Schubert positivity

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T18:01:26.023337Z

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Unavailable: canonical work link unavailable.