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Paper Citation Record · LEDGER

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order

As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2412.16820.

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

pith.paper-citation-record.v1
2412.16820 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:24:24.241967Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:26:34.632541Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f396e19c-4b13-40d9-99e4-fe869ecafe8a · outbound

This paper cites Bj¨ orner and F.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Bj¨ orner and F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:24:24.863493Z

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.

source=pdf_text observed=2026-08-11T10:24:24.086289Z digest=sha256:58a0019ec0231d63bf5521d1e6e01f678b541743f0e982ab77e8fd8164279e13

Observation 346d1ad6-c780-4532-8862-a43701a0b4a4 · outbound

This paper cites Chang, P.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Chang, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:24:24.841772Z

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.

source=pdf_text observed=2026-08-11T10:24:24.097220Z digest=sha256:6fdac642c9c74367365763964f19f64f53b9922c95ce08d36c56021f7842f4bb

Observation 128bdace-3c40-4bdf-84b3-360cd8c4c95a · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.802511Z

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.

source=pdf_text observed=2026-08-11T10:24:24.107428Z digest=sha256:a737b7b54b713bba8db92b93f32ad6bf83fc016659ee40663aad143d581725f2

Observation 22c94f87-efeb-4f0a-b954-cc29422c6cc5 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.769710Z

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.

source=pdf_text observed=2026-08-11T10:24:24.119259Z digest=sha256:f56de7bdfed1b02445ad0cf16923a7018ec2630a93b380ea7462b436863f4064

Observation d97c6133-e7f4-49a2-9c88-eb9fc44cfc68 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.737670Z

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.

source=pdf_text observed=2026-08-11T10:24:24.126282Z digest=sha256:dee589cee29df56f02603eeb43d2580b4872b8fee26b863e10e8977bf80378a1

Observation 786f48f6-18a7-42a1-acca-691c76230432 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.709896Z

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.

source=pdf_text observed=2026-08-11T10:24:24.133450Z digest=sha256:cc4f09fcefbc4d0ac4f6f363945ae459eb5e775363eba0b22b67391909dbed0a

Observation b656c2f4-a444-4918-9f37-e5b28903c5b5 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.674805Z

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.

source=pdf_text observed=2026-08-11T10:24:24.141628Z digest=sha256:511fb44d261d64cd7d400d7278bdf5857f7ea739b090cbcb5941591a325d907f

Observation 63016f2e-6294-4bfd-8243-61c73b004569 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.646647Z

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.

source=pdf_text observed=2026-08-11T10:24:24.149168Z digest=sha256:c453fa06143e19842a4e4651a42faccfc105dc0714187a6ffd91d76e738871a7

Observation c913819b-d6aa-427f-8427-c3f2956465f8 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.620305Z

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.

source=pdf_text observed=2026-08-11T10:24:24.159082Z digest=sha256:a5497c386f75a587b19ee27665218c2503ea41d992fa617d19a73510e5bc5a33

Observation 85c14a30-17a6-43d5-81bc-b5ede57e9ab5 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.598833Z

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.

source=pdf_text observed=2026-08-11T10:24:24.167606Z digest=sha256:923922b1d9501ded5dd43fd73f0915c4c02fdb56a44f6a9871d9e9f97324c4b9

Observation e7f3c139-df18-4dd1-b65f-a9ce0376decf · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.565794Z

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.

source=pdf_text observed=2026-08-11T10:24:24.182142Z digest=sha256:fb3aa8ffb0148340d899939ea67b4b30757764caa6d4e462bba1f7b13a9f7296

Observation d935c109-6e17-4999-91e1-fadc1881488a · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.535532Z

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.

source=pdf_text observed=2026-08-11T10:24:24.190866Z digest=sha256:8bf762ab7bac3d04319e72656ee33d591bc47c002760846b7c307e95620c465e

Observation 0ff1f6f1-198a-485d-8251-e21e5de6732a · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.502434Z

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.

source=pdf_text observed=2026-08-11T10:24:24.197372Z digest=sha256:2c71af19d18665a9b0e36e08f8f3c74415d1d485d06b269211bca144152da7b7

Observation 7c61309d-e7d5-400d-9a13-c138afe70ca3 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.461707Z

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.

source=pdf_text observed=2026-08-11T10:24:24.206364Z digest=sha256:46cc39528c5f1bf456497e82af60c04e89ce80a5a5deb3f4f833ecdbe8b39dc0

Observation 7340e6be-ae71-424b-a5c4-7ae58ba2108c · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.434000Z

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.

source=pdf_text observed=2026-08-11T10:24:24.214143Z digest=sha256:251483024342bb44bd739af226b6c74ec5f55ddb04edffdfba090abc1c9f2580

Observation 29de92a2-5009-4c00-b505-b900dca39a7d · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.384234Z

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.

source=pdf_text observed=2026-08-11T10:24:24.222225Z digest=sha256:4d43ea0e53910d64b2eddd469154003aef097c2f4eacb87246279c329854eef7

Observation 6aa1fb43-83d0-4910-922e-dda53ddfbb0e · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.357188Z

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.

source=pdf_text observed=2026-08-11T10:24:24.229988Z digest=sha256:18d37ca477a65551a2f00f0ec17f16f26ae6e106a69548ff5db454467c196940

Observation e0e39e32-303e-4f2c-b05c-8a77f30b1208 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.331863Z

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.

source=pdf_text observed=2026-08-11T10:24:24.236180Z digest=sha256:d9d65beef38a267ea6d7c3f48b9bd6fda0b6079e29b41a930f1f3b86b8aed9bd

Observation 9624dca2-f940-425e-bf64-1adedbd8d498 · outbound

This paper cites an unresolved cited work.

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:24:24.307441Z

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.

source=pdf_text observed=2026-08-11T10:24:24.241967Z digest=sha256:9b9d13f8246d5d23b4afa1929558b18480e28acc9cc54d2dfc034d92158650d5

Pith citing papers

Observation dcfd4571-cc7f-4686-8fc4-260e4e77148c · inbound

Parking completions are $\mathbf{x}$-parking functions cites this paper.

Parking completions are $\mathbf{x}$-parking functions The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T21:26:34.632541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T21:26:34.632541Z digest=sha256:16523acb47a977f582e316c571680fcd944d4b80fb39750366f6d5e3208fbc6e