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Paper Citation Record · LEDGER

A Pieri rule for Demazure characters of the general linear group

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.08502.

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

pith.paper-citation-record.v1
1908.08502 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:45:13.605387Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7774f2cf-1732-4276-adad-e12ab2527a0d · outbound

This paper cites Demazure crystals for Kohnert polynomials.

A Pieri rule for Demazure characters of the general linear group Demazure crystals for Kohnert polynomials

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.988850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.500265Z digest=sha256:976f928a44aeeb24d5da93ea34a6ba3bc725d0e34f138480aadcdfdf970cb94f

Observation 40b99c77-8ba8-4ac6-8ed3-64cdc31512f5 · outbound

This paper cites Weak dual equivalence for polynomials.

A Pieri rule for Demazure characters of the general linear group Weak dual equivalence for polynomials

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:45:13.660650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.505035Z digest=sha256:110101a1b81c22b434f9470231027f013e24b6103fa497e9b37f2dc171020c97

Observation 70d530c0-7f01-4da3-b437-e942f98740a5 · outbound

This paper cites Nonsymmetric Macdonald polynomials and a re finement of Kostka–Foulkes poly- nomials.

A Pieri rule for Demazure characters of the general linear group Nonsymmetric Macdonald polynomials and a re finement of Kostka–Foulkes poly- nomials

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.977199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.509865Z digest=sha256:3625dadf68d1ac847c49baea299ba104d22f2b46393f421c87a0580290c0636a

Observation 5ed93f1a-951b-41b8-b281-b2622e1889b7 · outbound

This paper cites Demazure crystals for specialized nonsymmetric Macdonald polynomials.

A Pieri rule for Demazure characters of the general linear group Demazure crystals for specialized nonsymmetric Macdonald polynomials

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:45:13.643561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.514413Z digest=sha256:6760d8b8019f478b2aaace8e90ab3407410e93f5e014cf28da0f1de4012ea846

Observation 0b45d35c-7f02-43cf-b527-b44c2718c344 · outbound

This paper cites Kohnert tableaux and a li fting of quasi-Schur functions.

A Pieri rule for Demazure characters of the general linear group Kohnert tableaux and a li fting of quasi-Schur functions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.965312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.519052Z digest=sha256:060d741583fd4b58af5a6b36ac6a60eba97ae9fb4bcaa4c5f25b232c6095a052

Observation 7710f82f-071e-42de-93bd-320c6c2044e8 · outbound

This paper cites Assaf and Peter R.

A Pieri rule for Demazure characters of the general linear group Assaf and Peter R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.952903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.522828Z digest=sha256:08c75ac43cede4411c3730aaba992eb297ce266473fcc26b1a970b3bd67f1f72

Observation 5d74bde5-8e8b-4c18-a459-9d56c0d33509 · outbound

This paper cites Sur la cohomologie des espaces fibr´ es prin cipaux et des espaces homog` enes de groupes de Lie compacts.

A Pieri rule for Demazure characters of the general linear group Sur la cohomologie des espaces fibr´ es prin cipaux et des espaces homog` enes de groupes de Lie compacts

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.940462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.527791Z digest=sha256:51686331255d7bbfb15e4f0230eb8a3beabd9db45beaa10a43f56677a31fb07f

Observation f100abcd-dfea-4459-a44b-50544da580bd · outbound

This paper cites D´ esingularisation des vari´ et´ es deSchubert g´ en´ eralis´ ees.Ann.

A Pieri rule for Demazure characters of the general linear group D´ esingularisation des vari´ et´ es deSchubert g´ en´ eralis´ ees.Ann

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.928797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.531744Z digest=sha256:c25d614dc90fb5cb9207ecaec473cfe5a7eb9b53ee9ee1fe9014f0f21d57be94

Observation 6cf6cdac-3372-44f3-a99a-40d897d3da89 · outbound

This paper cites Une nouvelle formule des caract` eres.

A Pieri rule for Demazure characters of the general linear group Une nouvelle formule des caract` eres

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.916509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.535816Z digest=sha256:5da0112a7fd65d80cc3857a1c6f7790f8bfed9cb6ef3ad700369968fc291206a

Observation 5dd42983-84c2-4d32-bc82-dc8500d9fe1c · outbound

This paper cites Haglund, K.

A Pieri rule for Demazure characters of the general linear group Haglund, K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.904513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.539495Z digest=sha256:3137c81ace120886ccd2774e0d1c0a8d46902dfb3034146b9e9a0f31260773d0

Observation db17de6b-35bb-4f53-9eac-74a9a0820114 · outbound

This paper cites Nonsymmetric Macdonald polynomials and De mazure characters.

A Pieri rule for Demazure characters of the general linear group Nonsymmetric Macdonald polynomials and De mazure characters

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.892114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.543298Z digest=sha256:474b7e38cc5d9bfec21863ad10288d37bd3a8b5f96e1a7a3311f6ba5e5454df2

Observation fb8352f7-2005-4bf0-ae72-e4f9f5ccef10 · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.880319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.547179Z digest=sha256:945920f5ade9ba053334076891193ef3e55894a4e3bed24f9fde9d2789749d31

Observation d78ef358-775e-4569-904a-74936c12a15f · outbound

This paper cites W eintrauben, Polynome, Tableaux.

A Pieri rule for Demazure characters of the general linear group W eintrauben, Polynome, Tableaux

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.868690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.551249Z digest=sha256:6b04a25e6be1e1df6510b25ef7847871db9c5d6ad90335e84e9112e7cda9254b

Observation 0d9ed5cf-d42e-4e12-b700-adbc68e24510 · outbound

This paper cites Polyn ˆ omes de Schubert.

A Pieri rule for Demazure characters of the general linear group Polyn ˆ omes de Schubert

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.855956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.555104Z digest=sha256:c058562c61e7174d695469900b9d0adc9bddcba2cbdd53c379bf0953f26791c4

Observation 820c1146-527c-4afb-af22-67219da78c62 · outbound

This paper cites Keys & standard bases.

A Pieri rule for Demazure characters of the general linear group Keys & standard bases

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.844669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.558840Z digest=sha256:e025967d9bdb75bfe2918fc4a7b81374e70cf9948f510234589174422f56ae08

Observation 50421c74-1250-4ce4-9079-915ba8db0a33 · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.832916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.562507Z digest=sha256:85c868a9ff3d88f6ad3bfe20205771922efd0467c7b663d02840580988b34edd

Observation 7cd208c1-f152-40aa-871d-840dbfedf38c · outbound

This paper cites An explicit construction of type A Demazur e atoms.

A Pieri rule for Demazure characters of the general linear group An explicit construction of type A Demazur e atoms

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.819817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.566115Z digest=sha256:28464ba3ac8985ab492f808aac0b1048a2a2e0d9c25c3b0ac15301e5d834d72d

Observation d8faaa69-4d74-49bb-be5c-cbd3ac9ce311 · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.805122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.569643Z digest=sha256:f795716a6648acf2bdb193cc7a99ad185ffec184f0a66d11453d2c004cc7732b

Observation c3e7b974-5218-4c87-a374-422a100820ff · outbound

This paper cites Sul problema degli spazi secanti.

A Pieri rule for Demazure characters of the general linear group Sul problema degli spazi secanti

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.792335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.573289Z digest=sha256:c049f034a05a14857bab6f4e33caf486ceab124f7acec29f9952b27709608ca9

Observation 46ad46ba-f629-4866-be39-f66d4f9defbf · outbound

This paper cites Key polynomials and a flagged Littlewood-Richardson rule.

A Pieri rule for Demazure characters of the general linear group Key polynomials and a flagged Littlewood-Richardson rule

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.777080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.577448Z digest=sha256:1f0aaef75bd26c023b9996d1d45a3c10631fe7c5a608a257985b40801387c226

Observation 302797cf-a762-4e46-8458-619a4118683f · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.762443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.581275Z digest=sha256:64483342ab1b7c8747673e7a8af4cebb1386d30c5880e2c75950f324c984a355

Observation a1e98cd9-98a2-4ced-a225-300b9e3f3a39 · outbound

This paper cites Sanderson.

A Pieri rule for Demazure characters of the general linear group Sanderson

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.749438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.584907Z digest=sha256:ce7af809d9e6dd86d2b68b759c110e570bdac4ee20b9a01d05fb4b06b7929599

Observation a424a15a-f3a0-49c3-89d1-b6387ce2d35c · outbound

This paper cites Schensted.

A Pieri rule for Demazure characters of the general linear group Schensted

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.734579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.588877Z digest=sha256:be5fed60fccd7e9eb573f6173b5ee22c229db90fbc5cc1c2476cc9a3187df4eb

Observation 303d1811-d4df-4f0e-bd88-294de98989e5 · outbound

This paper cites Kalk¨ ul der abz¨ ahlenden Geometrie.

A Pieri rule for Demazure characters of the general linear group Kalk¨ ul der abz¨ ahlenden Geometrie

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.712948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.592841Z digest=sha256:bdd6e572a789c3106f9856ddd9649f5c5124a6875906bd826eaa54bb3bde31e6

Observation 67d11cb9-ec57-4d89-a4c3-01343ec004b6 · outbound

This paper cites Pieri’s formula for flag manifolds and Sc hubert polynomials.

A Pieri rule for Demazure characters of the general linear group Pieri’s formula for flag manifolds and Sc hubert polynomials

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:13.685363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.601196Z digest=sha256:9a260896f2e3713e9590a7ef0d906865782f1db73aba5479488b04bf3238b8f1

Observation d51254b2-6fdf-42ee-9852-4015e6181333 · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.673101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.605387Z digest=sha256:cfa1d64f4341071ec08053ca7ae988e64d4a2af6a0ae84f3675df37d443149a7

Observation 47c293a0-efbf-413c-9610-ddcc6a9fa315 · outbound

This paper cites an unresolved cited work.

A Pieri rule for Demazure characters of the general linear group Unresolved cited work

Reference 1979

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:45:13.698653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:13.596986Z digest=sha256:39ac3714ebca4f321254c842befa5f070d1273a4e650a32dc59960368fb8fbd6

Pith citing papers

No inbound Pith citation observations are available.