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Paper Citation Record · LEDGER

Richardson tableaux and Schubert positivity

As of 14 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 2026-08-13T06:32:02.005865+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

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  • verified fuzzy0
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External citation measurements

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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

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source=pdf_text observed=2026-08-04T10:03:06.468969Z digest=sha256:a85c88f0e55474af6bbd59829f22ddc387707201dc2ea17b77eaf4651963a76a

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

This paper cites Alman, C.

Richardson tableaux and Schubert positivity Alman, C

Reference 2

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source=pdf_text observed=2026-08-04T10:03:06.535178Z digest=sha256:2c57c556977091394fe3a0b011cafbfd655416006cf4e4219b26a46a885673a1

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

This paper cites Anderson and W.

Richardson tableaux and Schubert positivity Anderson and W

Reference 3

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source=pdf_text observed=2026-08-04T10:03:06.607907Z digest=sha256:a44c7e53abfd7690440372a3f9e032dfdfd9dc4a7cf13e7a677f01e6893b29f3

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

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source=pdf_text observed=2026-08-04T10:03:06.703698Z digest=sha256:a5af2344260ae92e987a8b13d0cf0c100e8105626d08f4f4075794cf0b61be39

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

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source=pdf_text observed=2026-08-04T10:03:06.788682Z digest=sha256:3f64fec0e283c231e90e559a6190b0e7a7594b8df6070b90039266fba7f8257d

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

This paper cites Bergeron and F.

Richardson tableaux and Schubert positivity Bergeron and F

Reference 6

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source=pdf_text observed=2026-08-04T10:03:06.862180Z digest=sha256:b0d006a50c78468533808a7084a17bca5414363f4474a4cf376032f126319907

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-04T10:03:06.943100Z digest=sha256:dc847952c55b732b181b75d2b5f5d28de67dd9e331eccd70f275e1192f787959

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

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source=pdf_text observed=2026-08-04T10:03:07.003244Z digest=sha256:7f81d8cd9802d15370fa051772e90a7291caa1c39ee5719564452527a9c1b4c2

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

This paper cites Björner and F.

Richardson tableaux and Schubert positivity Björner and F

Reference 9

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source=pdf_text observed=2026-08-04T10:03:07.061927Z digest=sha256:bab3064bcd37a9479635ac7ed39affb497dda4a243902c0717a2744c8117f8f7

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

This paper cites Björner and F.

Richardson tableaux and Schubert positivity Björner and F

Reference 10

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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

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source=pdf_text observed=2026-08-04T10:03:07.216278Z digest=sha256:44701dc727b9077feb9a00c2accd4a832dcef8d5ac2c9743b9c0d3aca86d4f58

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-04T10:03:07.299996Z digest=sha256:65e451302153fd8e21d28eac4f40f2eac9a552820d47c102ac7eba92e300f960

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-04T10:03:07.358714Z digest=sha256:4b5f82c626a7bc76af3965922f9af9eae21e3b994e70d29ebbccef3ab5895bde

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

This paper cites Develin, J.L.

Richardson tableaux and Schubert positivity Develin, J.L

Reference 14

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source=pdf_text observed=2026-08-04T10:03:07.435043Z digest=sha256:f1148c3ab3c0ba5820e2cd27acca53dd1fe6fa95e1c31367bc9914c90bf3c396

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-04T10:03:07.489881Z digest=sha256:d010785fb0f9bc3cd754f2aaeeb6316980d4ad1d272fc1bb0fd84ae212698e54

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

This paper cites du Cloux.

Richardson tableaux and Schubert positivity du Cloux

Reference 16

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source=pdf_text observed=2026-08-04T10:03:07.543018Z digest=sha256:d74ecdc7ddd528e49668f75c4aa1009b23b37cf7c81a822f57ce772fa9e61229

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

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source=pdf_text observed=2026-08-04T10:03:07.599258Z digest=sha256:af3b3742d6f3a3792f77806e64de4549ca72fae6be6f0fe368061bf0e069b941

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

This paper cites Gao and H.

Richardson tableaux and Schubert positivity Gao and H

Reference 18

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source=pdf_text observed=2026-08-04T10:03:07.665138Z digest=sha256:11d7dc394620af048b257452d4ebe93a1b007479c22c88a386b15ace421a607e

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

This paper cites Graham and R.

Richardson tableaux and Schubert positivity Graham and R

Reference 19

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source=pdf_text observed=2026-08-04T10:03:07.702153Z digest=sha256:e78be4e6797173ad32057e3971281811f8c2186b6927691848723bdb9721c11e

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-04T10:03:07.768513Z digest=sha256:a61f3ca84294de64d64f5cd6102eb4e5adf3576ea0f959c79d68c1c20a1439c5

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-04T10:03:07.810672Z digest=sha256:f6ddd01cb155d7402cea1f18a893e6f0d72979af068a3453917b622293d8ff11

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

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source=pdf_text observed=2026-08-04T10:03:07.813139Z digest=sha256:9ee605faf01f7d4670bf69865ef1325ab20f975317f2614d8c69279d37ddf1cc

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

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source=pdf_text observed=2026-08-04T10:03:07.890568Z digest=sha256:db4aa2ff2b71fa12c28c9ebdb110907035773ab2ba39f13ac8de111227f46a4a

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

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source=pdf_text observed=2026-08-04T10:03:08.056396Z digest=sha256:ddf179b6b1587c5fde19e51af80202880c108389c7decbf7e09b97cdad3f81ae

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-04T10:03:08.180588Z digest=sha256:72563122df596f9faa7d006d774be72f3f30d06a2d1980d45978c3748e8fc903

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-04T10:03:08.270663Z digest=sha256:6933969d108bcbdf36ee94ccba76ab8bb3056101a3d9af114de5ab1e78c97569

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

This paper cites Knutson and T.

Richardson tableaux and Schubert positivity Knutson and T

Reference 27

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source=pdf_text observed=2026-08-04T10:03:08.375570Z digest=sha256:d55b5930da972400b859f9be9ac86a74e2670da1f030a2f461b3f7749ce8093b

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

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source=pdf_text observed=2026-08-04T10:03:08.553297Z digest=sha256:093a031af2efb2f4cdcbf2f6e015c81681e5346608bb2b0c7375cd5cc1e87fcc

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

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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

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source=pdf_text observed=2026-08-04T10:03:08.875370Z digest=sha256:3ce2151a0703033a1915b82fb574351490672c371c5f888afa5bb07b41ece223

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

This paper cites Loday and M.

Richardson tableaux and Schubert positivity Loday and M

Reference 31

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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

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source=pdf_text observed=2026-08-04T10:03:09.224035Z digest=sha256:c78a7409bafd5842765060f3a95f49e5a5df16fbb6e91846ac651acfedcf7479

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-04T10:03:09.426769Z digest=sha256:a2b8bd75d933dc3171af4dd9a5de547adedb60f925efc0ae7afa414675127236

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

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source=pdf_text observed=2026-08-04T10:03:09.620734Z digest=sha256:4cddd42a18fb1f2c191c2b2acd44536b0ea11e36931f5b2523f319dc531bc09d

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

This paper cites Nadeau, H.

Richardson tableaux and Schubert positivity Nadeau, H

Reference 35

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source=pdf_text observed=2026-08-04T10:03:09.778747Z digest=sha256:2341bf9973704e18d8289d4f900f79735a97eb34635f7a6504d8ae6100b2a39a

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

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source=pdf_text observed=2026-08-04T10:03:09.924276Z digest=sha256:a775ae9150ec075ec1debfaafcfec0f3291cd4437ca42594e4a91b496d0fc368

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

This paper cites Pak and C.

Richardson tableaux and Schubert positivity Pak and C

Reference 37

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source=pdf_text observed=2026-08-04T10:03:10.067554Z digest=sha256:f807973631d9c3beebd531d276b7265af12b94233de32832ebbc45091ee0a7ee

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

This paper cites Pechenik and A.

Richardson tableaux and Schubert positivity Pechenik and A

Reference 38

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source=pdf_text observed=2026-08-04T10:03:10.205275Z digest=sha256:66e7481b8f952bd236c33c329142c49a6ff9dbd8f07d2346cfa3a8831723556f

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-04T10:03:10.347523Z digest=sha256:0b6798e25b83855cf1167ea937b3659cba11596e22142a4d7e8f343c59fbd6c2

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

This paper cites Schützenberger.

Richardson tableaux and Schubert positivity Schützenberger

Reference 40

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source=pdf_text observed=2026-08-04T10:03:10.556777Z digest=sha256:f7c0a6f7e5e5048bcc7205788771288a0b6d5b7b281c8d65bb9757d5ee4a0744

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 41

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source=pdf_text observed=2026-08-04T10:03:10.628247Z digest=sha256:62a213cf0b81d03789b574bf561f888f85a2a1974b18fb47a805b94a1218a300

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

This paper cites an unresolved cited work.

Richardson tableaux and Schubert positivity Unresolved cited work

Reference 42

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:10.743816Z digest=sha256:e6926e1b7ac1cf707d1e9d4c8c51c09958d2c0ebb5cb2f9cf8ac4f6b40f5f0a9

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:10.841553Z digest=sha256:cdaf780d7464b146e50f11480ef3c6d7102a78577f9663fff672c499e0e825f8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.081338Z digest=sha256:44ce2297b6dd67db231f77e45af520481e20a6ef9617d622770bc02b20cdef39

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.196184Z digest=sha256:b48ea5f76611c694fa0c3906ac5e4288113f1ac7980d30b5d84ee48a79412618

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.303549Z digest=sha256:d5b15508767fed3be5ac29edb05da5e2b1537f6e46c63601f36e801557c9b105

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.399420Z digest=sha256:1abcf4d407e99d2aa6f10f355bccf007aefa91821ad44a0eddbfdb00918f63da

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.464481Z digest=sha256:af026b15cc5299c9024c72f76a3ceb53b076624465d27bbffce8eb98a215dbdb

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:11.539412Z digest=sha256:cfd4ae2a6b7035a2ca4c3335ae96a5fdcf2951c4f128ceb082db83b76a0994e6

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:03:10.989263Z digest=sha256:e3e3c03a34b16696e2eaba17ad467bf955b28e4d96405f09641a93c624e6e334

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

source=arxiv_source observed=2026-06-27T21:29:51.797996Z digest=sha256:d3acd3357226d549f4548d3a6622e53768e61400fc7438cec785a2906adfd31e

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:01:26.023337Z digest=sha256:b34c198d0d5e6760ca6a1410f4940074ca5e08b0d06679625139f84e1d78276f