Pith. sign in

Paper Citation Record · LEDGER

Tableau formula for vexillary double Edelman--Greene coefficients

As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.20615.

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

pith.paper-citation-record.v1
2412.20615 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:31:31.233338Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a64d6d7-84e4-414a-8faa-6790e975631a · outbound

This paper cites Strong equivariant positivity for homogeneous varieties and back-stable coproduct coefficients.

Tableau formula for vexillary double Edelman--Greene coefficients Strong equivariant positivity for homogeneous varieties and back-stable coproduct coefficients

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T23:31:30.988848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:31:30.988848Z digest=sha256:724f9e41f272bf8ca97d2a007a97599276f256e58c6b6ba5cb8d243025f9b9d9

Observation 6f1c4394-b1e2-41f8-98c3-8ad0c28063cd · outbound

This paper cites Chern class formulas for classic al-type degeneracy loci.

Tableau formula for vexillary double Edelman--Greene coefficients Chern class formulas for classic al-type degeneracy loci

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:32.061640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:30.997707Z digest=sha256:cdb42a4b84785e05ff4f9f0ca866e65b45a785a28cc6cf34d22e4b9c18c520ad

Observation df8a85ba-714b-4a7d-a41f-c9a84d3d0476 · outbound

This paper cites Degeneracy Loci, Pfaffians, and Vexillary Signed Permutations in Types B, C, and D.

Tableau formula for vexillary double Edelman--Greene coefficients Degeneracy Loci, Pfaffians, and Vexillary Signed Permutations in Types B, C, and D

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:31:31.349788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.012074Z digest=sha256:64636d73e0138cabd9a8584bdba259cb7fea5bb0aeb00f71db101cabb0fc0002

Observation 147c9bf1-2abc-4c65-83a7-ef67a0fcb165 · outbound

This paper cites Permutation patterns, Stan ley symmetric functions, and gener- alized Specht modules.

Tableau formula for vexillary double Edelman--Greene coefficients Permutation patterns, Stan ley symmetric functions, and gener- alized Specht modules

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:32.025018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.021339Z digest=sha256:99627f581893b91e0d5152822b59311c2403d2c28bb306c5cf2fdf19be313972

Observation be95e111-4b0c-4515-9641-776612ea1260 · outbound

This paper cites Stable Grothendieck polynomials an d K-theoretic factor sequences.

Tableau formula for vexillary double Edelman--Greene coefficients Stable Grothendieck polynomials an d K-theoretic factor sequences

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.998429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.032250Z digest=sha256:e8458c961904a92b86ea0444fa47da64396c9340ae6455901b042b70276091d7

Observation f2ccf256-c781-4053-a0d7-4c6d6242bb3d · outbound

This paper cites A Littlewood-Richardson rule for the K-theory of Gra ssmannians.

Tableau formula for vexillary double Edelman--Greene coefficients A Littlewood-Richardson rule for the K-theory of Gra ssmannians

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.966564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.039338Z digest=sha256:66d35e5f404cddd46b2ea04ffcccd404bd1effb32a391cd6383fcf83ba85ada0

Observation 35db9867-2342-4ff2-a6e7-943a5ef19a94 · outbound

This paper cites Balanced tableaux.

Tableau formula for vexillary double Edelman--Greene coefficients Balanced tableaux

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.933132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.061995Z digest=sha256:77dc61423ba560438377135a5c12ad75204a9cf499d811990dcd268f235ecfe9

Observation 14f76e64-5c39-4542-bb07-d52279b625ec · outbound

This paper cites Positivity in equivariant Schubert calculus.

Tableau formula for vexillary double Edelman--Greene coefficients Positivity in equivariant Schubert calculus

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.902548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.070866Z digest=sha256:ddc889dfb62de6f23b55f6bec9a3dadfd5addaed1308db91c64c1a5950500807

Observation d0e06dd6-69bc-4abf-a0af-901fcb7d0c60 · outbound

This paper cites Schubert products for permutations with sepa rated descents.

Tableau formula for vexillary double Edelman--Greene coefficients Schubert products for permutations with sepa rated descents

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.875223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.077716Z digest=sha256:142663613929eb8a153f670e8f6a37bba23bb132e8392a1378eac2789bf252d0

Observation 3ea4ead3-8003-4051-8d4d-71da21c160d2 · outbound

This paper cites Do uble Schubert polynomials for the clas- sical groups.

Tableau formula for vexillary double Edelman--Greene coefficients Do uble Schubert polynomials for the clas- sical groups

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.854703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.084939Z digest=sha256:28059c6c77de61cd5b3fe574f998f30eb922ed2daeccc360463215cf15af161c

Observation 5b618103-77db-4be4-9a2a-cd79914402c3 · outbound

This paper cites Construction of double Gr othendieck polynomials of classical types using idCoxeter algebras.

Tableau formula for vexillary double Edelman--Greene coefficients Construction of double Gr othendieck polynomials of classical types using idCoxeter algebras

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.829284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.091490Z digest=sha256:0ad0b37a12a89a7019ff584f7fe776a60f7d57e8e2435e8903c3ff51c476b510

Observation 4ea620c8-0d40-4ad9-8e23-ec9c7477317e · outbound

This paper cites Gr¨ obner geom etry of vertex decompositions and of flagged tableaux.

Tableau formula for vexillary double Edelman--Greene coefficients Gr¨ obner geom etry of vertex decompositions and of flagged tableaux

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.806356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.096945Z digest=sha256:9d88d7c5e348142867588a055d6640fca3282f01c3220983b7975a36a45d7d79

Observation 40d75f3f-54d8-4b04-be95-e3fb3684f113 · outbound

This paper cites Puzzles and (equivariant) coh omology of Grassmannians.

Tableau formula for vexillary double Edelman--Greene coefficients Puzzles and (equivariant) coh omology of Grassmannians

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.783203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.113473Z digest=sha256:ff4f7ff899bae58de5d8ff7072c445fb4258db6d7fbed512db6099ea08347631

Observation 765ac475-d1ae-44a7-a7ac-c667d5385ced · outbound

This paper cites Back stable K -theory Schubert calculus.

Tableau formula for vexillary double Edelman--Greene coefficients Back stable K -theory Schubert calculus

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.753854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.123703Z digest=sha256:3820df09855d954e2f873031f694b71c9b968ddbdc3a9bf74101632a3b98e0d0

Observation bdb7127c-8452-437e-a3b3-f78e738e97b9 · outbound

This paper cites Back stable S chubert calculus.

Tableau formula for vexillary double Edelman--Greene coefficients Back stable S chubert calculus

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.726703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.134543Z digest=sha256:731fcbbd1acbca8b433f5282111dbfd9e2df03a91c5731a9a352d6e019e76b0d

Observation 906f915c-67ac-47a8-9c47-08fb29dd7882 · outbound

This paper cites Transition on Grothendieck polynomials.

Tableau formula for vexillary double Edelman--Greene coefficients Transition on Grothendieck polynomials

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.701036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.142034Z digest=sha256:7b0cc7a70f16ff16ed5e7753419f2f9c29373937554517f01faecc44cb2a4c6d

Observation 178ed91e-42f1-4745-b440-1221959d44f2 · outbound

This paper cites Notes on Schubert polynomials.

Tableau formula for vexillary double Edelman--Greene coefficients Notes on Schubert polynomials

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.679210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.147990Z digest=sha256:b6b5bb7724698aefe505ecc797805975c7b6f0cb7df96b5961171f8b2c83f2ea

Observation a9ecbb5e-6667-41ca-a9c0-9dc001700a10 · outbound

This paper cites Principal specializations o f Schubert polynomials in classical types.

Tableau formula for vexillary double Edelman--Greene coefficients Principal specializations o f Schubert polynomials in classical types

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.656081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.160839Z digest=sha256:a5fac2b52cc6f807da06e5fc25015dbb569df33b0071ff3821ad646ea1f6fe61

Observation 3dabca69-39ca-48e0-b93e-c1a47e1b7661 · outbound

This paper cites A Tableau Formula for Vexillary Schubert Po lynomials in Type C.

Tableau formula for vexillary double Edelman--Greene coefficients A Tableau Formula for Vexillary Schubert Po lynomials in Type C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.629907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.171115Z digest=sha256:3db1d425e17e44c26d0b72a11a0cf8882556e26019c3856f032de4ee2b2b341c

Observation dd2114ce-8f20-45db-ab31-dacbbde6938b · outbound

This paper cites Comultiplication rules for the double Schur fun ctions and Cauchy identities.

Tableau formula for vexillary double Edelman--Greene coefficients Comultiplication rules for the double Schur fun ctions and Cauchy identities

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.602503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.178364Z digest=sha256:b122bbb8ffc05d2a2381b93d5a0964bd463c5cd3f8956c6ebf00324d78538248

Observation db766802-cea3-4d61-a593-41836f78c5d0 · outbound

This paper cites Equivariant-theory of Gr assmannians.

Tableau formula for vexillary double Edelman--Greene coefficients Equivariant-theory of Gr assmannians

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.570836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.185093Z digest=sha256:fd6c50b9b6fe61edfabf000bd489c2151056efac65b4fcd0272fa0e636cf472d

Observation 4c751641-8df0-4153-b594-83e551b33c0d · outbound

This paper cites an unresolved cited work.

Tableau formula for vexillary double Edelman--Greene coefficients Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:31:31.537307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.190652Z digest=sha256:23dfb8bf42a672e414e03dcbbc42d7a15bf6494b104bdb7f1e4c6e4868106294

Observation 87545eab-ad2d-4e64-8554-8d96686d91ba · outbound

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

Tableau formula for vexillary double Edelman--Greene coefficients On the number of reduced decompositions of elements of Coxeter groups

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.504220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.200438Z digest=sha256:2999bf3bbe8cfb3cef388a80b0ccc4cdc4e24b333d3fc05116796f9c642a5f2b

Observation 5dffa1a3-1cd6-40b1-a04a-7730dc91a44a · outbound

This paper cites Flagged Schur functions, Schubert polynomia ls, and symmetrizing operators.

Tableau formula for vexillary double Edelman--Greene coefficients Flagged Schur functions, Schubert polynomia ls, and symmetrizing operators

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.481707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.214743Z digest=sha256:2aa4bcbee1dfe62e27f850193c822962ef07839542eb1b50553e4b0fdae44544

Observation 5a752a84-f589-4e71-ac57-3ffa5299628b · outbound

This paper cites Bumpless pipe dreams and alternating sign matr ices.

Tableau formula for vexillary double Edelman--Greene coefficients Bumpless pipe dreams and alternating sign matr ices

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.452509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.224564Z digest=sha256:d888780c40fb7044d1b94d4d342c1c099ba058ad330e5fb4a0fc1010a39ecfc3

Observation 407ef604-abfb-4352-9e7f-53f9ccac916e · outbound

This paper cites Littlewood–Richardson coefficients for Grothendieck poly- nomials from integrability.

Tableau formula for vexillary double Edelman--Greene coefficients Littlewood–Richardson coefficients for Grothendieck poly- nomials from integrability

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:31:31.424112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T23:31:31.233338Z digest=sha256:516fd24d7ef1bc89d65f53a573f640fb0ec85db87faeed7680392603fd599fcd

Pith citing papers

No inbound Pith citation observations are available.