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Paper Citation Record · LEDGER

Zero-one dual characters of flagged Weyl modules

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2411.10933.

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

pith.paper-citation-record.v1
2411.10933 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:20:50.910049Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:07:05.526200Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:39:36.650868Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact3
  • verified fuzzy17
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14d01ac8-e125-4297-8379-1d103dff8eb4 · outbound

This paper cites Armon, S.

Zero-one dual characters of flagged Weyl modules Armon, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.518793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.742595Z digest=sha256:f44799973af53301deade94695299b411e005933944e88bea5ca606fb6416a03

Observation 02cf589d-32da-4cb3-bf76-c8929b04e428 · outbound

This paper cites Assaf and D.

Zero-one dual characters of flagged Weyl modules Assaf and D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.499081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.750044Z digest=sha256:0b7e0150d95eddfc3035508eb48aba05aeb3c617f329ff0b94a3b8001d7f89f4

Observation 6baf7267-74f7-4589-a723-1ee5298e3b28 · outbound

This paper cites Assaf and D.

Zero-one dual characters of flagged Weyl modules Assaf and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.480449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.761396Z digest=sha256:360a7e2963775163d1684303be9b97838e278c05f20f9812f84f4788c74ce8d8

Observation 096ffc21-cc52-42e6-8711-5fa776aa01b6 · outbound

This paper cites K-polynomials of multiplicity-free varieties.

Zero-one dual characters of flagged Weyl modules K-polynomials of multiplicity-free varieties

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.767987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.767987Z digest=sha256:68f0806be342d30607e1e4a8cdca1c3a874c273995121c49fe28011235698c1f

Observation 2fdbf5f5-c931-4f01-b108-51d3fa235871 · outbound

This paper cites Brion, Multiplicity-free subvarieties of flag varieties, Commuta tive algebra (Grenoble/Lyon, 2001), Contemp.

Zero-one dual characters of flagged Weyl modules Brion, Multiplicity-free subvarieties of flag varieties, Commuta tive algebra (Grenoble/Lyon, 2001), Contemp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.460991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.774559Z digest=sha256:1bc48f07e1af8d1591bd78a88c859a6ed310ee4935c4b843ddc90ea80f1bafbb

Observation fa77d667-692c-494a-86b9-8d9b709cae49 · outbound

This paper cites K-theoretic positivity for matroids.

Zero-one dual characters of flagged Weyl modules K-theoretic positivity for matroids

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.779958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.779958Z digest=sha256:6bd7883309c2e6dee5f5de342294face9068311ab34380e792ea89c0baf5e87a

Observation ac2a939f-aa96-42ae-bf40-ee5396c503b0 · outbound

This paper cites Fan and P.L.

Zero-one dual characters of flagged Weyl modules Fan and P.L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.442143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.786253Z digest=sha256:ab08baacd5a4ec4af0fdce231e887398f817a52b7eca847c2f648d14f0b061a8

Observation 2f9d2d86-67d8-41ae-bed3-d7b0146c8619 · outbound

This paper cites Fan and P.L.

Zero-one dual characters of flagged Weyl modules Fan and P.L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.422503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.792021Z digest=sha256:ab210911328c0cae25c64dd288b42b21e1cd5dee02d0d76f5bc53a434aee2254

Observation f783488f-d1b1-47eb-8f33-e903aef2ea0f · outbound

This paper cites an unresolved cited work.

Zero-one dual characters of flagged Weyl modules Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.797471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.797471Z digest=sha256:f72ab882b040c22be86fa9d33805d8c4b4cf5c4d5bb6dae292430a15792a1883

Observation ebbb0ea3-5398-4192-b3ee-a88745822e1f · outbound

This paper cites an unresolved cited work.

Zero-one dual characters of flagged Weyl modules Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:20:51.392632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.803029Z digest=sha256:1667e3be72109e3088e98e82dd955b1227690af69b9fcd8fd56fbe932ba989fd

Observation b1ae590d-c8f4-4683-b4e4-310ea1ec0b87 · outbound

This paper cites an unresolved cited work.

Zero-one dual characters of flagged Weyl modules Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:20:51.373155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.808043Z digest=sha256:b81ebf99e4d06d07992f7732fca4a18f56f4b76a9cba375de08a99ec9b37a852

Observation eb651ed3-3756-4dcf-83fa-cd34cc7cfb51 · outbound

This paper cites Gr\"obner geometry of Schubert polynomials through ice.

Zero-one dual characters of flagged Weyl modules Gr\"obner geometry of Schubert polynomials through ice

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T19:20:51.040743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.813762Z digest=sha256:04c774196682a2a5ea834b1e0d241df7dc916cc44817dc2dc4b8fd5ba7cab853

Observation f0bbe1c3-7e44-4abf-b316-ed489d76c4af · outbound

This paper cites Hodges and A.

Zero-one dual characters of flagged Weyl modules Hodges and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.355578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.819724Z digest=sha256:f3e57bf71fb7186ad67fa25001fe7a1f4941f63a7db495a5eb8dedfa2e069ed0

Observation 2eaeac49-e775-4eea-8626-6a66ca92ac64 · outbound

This paper cites Hodges and A.

Zero-one dual characters of flagged Weyl modules Hodges and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.338279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.824667Z digest=sha256:b7d8c2055198bb62f333a8dedaeea6b1df96777438c968a6462b394fd5600479

Observation 93f8d099-83ea-4c50-8c50-f188bdca4995 · outbound

This paper cites Klein, Diagonal degenerations of matrix Schubert varieties, Algebraic Combin.

Zero-one dual characters of flagged Weyl modules Klein, Diagonal degenerations of matrix Schubert varieties, Algebraic Combin

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.320678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.830564Z digest=sha256:bcbcf43ece8d130e856fa6c0c97a4b5a530c60b9dc78052b992c76e60edd7051

Observation e3152f82-bc95-419c-b3d7-76b4537e6a91 · outbound

This paper cites Knutson, T.

Zero-one dual characters of flagged Weyl modules Knutson, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.297013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.835831Z digest=sha256:83722f66d251f059cc803c6e98ea5f8c976ad42bc5bede9759260067170c4318

Observation e82b2e88-a79f-482a-b15d-a4b47dce6be7 · outbound

This paper cites Kohnert, Weintrauben, Polynome, Tableaux, Bayreuth Mat h.

Zero-one dual characters of flagged Weyl modules Kohnert, Weintrauben, Polynome, Tableaux, Bayreuth Mat h

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.274984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.840799Z digest=sha256:84e21daa58395bfc85625929c5e61cc68b05b5f73db4a4ab793b27d6430a4ba3

Observation 3e910347-ebab-4482-8492-36adcec4a6dd · outbound

This paper cites Kraskiewicz and P.

Zero-one dual characters of flagged Weyl modules Kraskiewicz and P

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.255292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.846171Z digest=sha256:9e15189014466d300ffa626d2993afae214ad6cf235d32521bd61fd08301679a

Observation cde4098c-b0ac-43f1-b6f2-664a03fed501 · outbound

This paper cites Kra´ skiewicz and P.

Zero-one dual characters of flagged Weyl modules Kra´ skiewicz and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.236206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.852262Z digest=sha256:e3b046d6a4a426454e4dd75090135cab3e999a041f546aa5a20cdeba406fb610

Observation e1080bb0-bda0-4ea0-817a-99bf7899eaac · outbound

This paper cites Knutson, Frobenius splitting and M¨ obius inversion, arXiv:090 2.1930v1, 2009.

Zero-one dual characters of flagged Weyl modules Knutson, Frobenius splitting and M¨ obius inversion, arXiv:090 2.1930v1, 2009

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.218434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.858708Z digest=sha256:0005b9bceddf5ab711c8cd6893aca847879ea52fef2b7d887540ec9bc0ffdd70

Observation b2033e4e-f5ed-426f-aae9-816256015d67 · outbound

This paper cites Knutson and E.

Zero-one dual characters of flagged Weyl modules Knutson and E

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.199943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.863942Z digest=sha256:40623463584775017d7324ca9a799bd60bb1ef61f4afac8d776753ada8afbe2e

Observation d20df3df-2e98-472a-a395-e02cf92fa138 · outbound

This paper cites Magyar, Schubert polynomials and Bott–Samelson varieties, Comment.

Zero-one dual characters of flagged Weyl modules Magyar, Schubert polynomials and Bott–Samelson varieties, Comment

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.869192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.869192Z digest=sha256:b279f6bf5252793b1a528a4ebb4e00df68af6bd166d4b3080642869d35770248

Observation bfc4c8c0-a0cc-4ebb-9dbf-0f6e0984cc1f · outbound

This paper cites M´ esz´ aros, A.

Zero-one dual characters of flagged Weyl modules M´ esz´ aros, A

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.874417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.874417Z digest=sha256:bda21a83d85aa951b5a662507bb3444d6b8af48cfdb184fdebe53da1465f4d6b

Observation 94a436cd-aba9-4de7-81a5-a41a2c186be2 · outbound

This paper cites M´ esz´ aros and A.

Zero-one dual characters of flagged Weyl modules M´ esz´ aros and A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.152376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.880755Z digest=sha256:3d9c780f5abe2f438706bf2c243f0b31348ed7c0f35e15c16cec36febba2fa15

Observation 2ed224ec-e2ae-4589-a07e-42a7054b5a46 · outbound

This paper cites M´ esz´ aros, L.

Zero-one dual characters of flagged Weyl modules M´ esz´ aros, L

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T19:20:51.123352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.886504Z digest=sha256:9dfdd7fbe162b62eb5f79382418c70668360cebb70e18e0556aa50d0626f1b9f

Observation 5a2ae971-4d9c-4061-ae08-b24460b6ebe1 · outbound

This paper cites On the support of Grothendieck polynomials.

Zero-one dual characters of flagged Weyl modules On the support of Grothendieck polynomials

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-12T19:20:51.012008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.892712Z digest=sha256:55db173fc14bed745ca3195a7c8eb8ed8c3dfb503496ed53140394d664de087e

Observation b4f66506-b764-43fc-9d4d-5b9c1573dde8 · outbound

This paper cites an unresolved cited work.

Zero-one dual characters of flagged Weyl modules Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T19:20:51.102349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.898276Z digest=sha256:1cb267219767995866f994d64b41607ade6d4140fa0cddbb1788fc7af438480b

Observation 92e248ae-5a9f-4650-a851-a6f7dc439693 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Zero-one dual characters of flagged Weyl modules Total positivity, Grassmannians, and networks

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-12T19:20:50.904228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:20:50.904228Z digest=sha256:e19ba375db957dd2dbeb4408d33cb217b7fa5965b50587c7e8f96e8bb7b3c6dc

Observation d713bdc7-17fa-474b-bdd6-f1ca4c4decb8 · outbound

This paper cites Proof of a conjectured M\"obius inversion formula for Grothendieck polynomials.

Zero-one dual characters of flagged Weyl modules Proof of a conjectured M\"obius inversion formula for Grothendieck polynomials

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-12T19:20:50.959946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T19:20:50.910049Z digest=sha256:e7a0de633c50a00a4a15241eb258b6071be2ae90ce2bf1b9b734238529c54496

Pith citing papers

Observation eb7d97a5-480b-4da0-9ff4-42e292055026 · inbound

Schubert polynomials and patterns in permutations cites this paper.

Schubert polynomials and patterns in permutations Zero-one dual characters of flagged Weyl modules

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T23:07:05.526200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:07:05.526200Z digest=sha256:fe73974f59462b7665511443186eb8613d94467f09f614f12204b0b26f466150

Observation c50f14bc-35ac-4389-8074-0e8042b7b492 · inbound

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

Introduction to the Cohomology of the Flag Variety Zero-one dual characters of flagged Weyl modules

Reference 158

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:39:36.655219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T22:39:30.034586Z digest=sha256:9c3702aa49b43ab8e11446787246f1ef5e79f54a4779983762f13a1f988db0f0