Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.086289Z digest=sha256:5abbc9a8e1f610651b0040ebcf3f003cdffe4d3c9b9bd7919329702a0c4e4f22

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.097220Z digest=sha256:44e18f3f0f0102a63ed48f39fb599f849f9c2214a6201b48e0b4b9231fac2915

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.107428Z digest=sha256:2092091839d643caf31170ee648c05f7a8a4abe49506c3479f92eea39b68d1da

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.119259Z digest=sha256:a7e975a5d2a2dd4b9cda0670e48badfd9edf91388941127def4a32e1faf59c61

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.126282Z digest=sha256:2884acdc415509fedf0ddab841feea78a4927c3e3dd9698d671697d9d37b4882

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.133450Z digest=sha256:88f85047ed744f64115c61fb87e21b4a7622eec1099c80c9f422c16a20d82e18

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.141628Z digest=sha256:c8639e9a0e9e6caccae99dd0020bcee4181737f336128189b1c65091d870f111

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.149168Z digest=sha256:d1f5d294631205becbbe739c3f691e6316ac25928172bb8f23f07b5cd2e20e87

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.159082Z digest=sha256:491cd828dbd0c97b61be21229a2e3b1e2f03fca276fddce193e111879bb9d1d6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.167606Z digest=sha256:77729ed1486e213c1e224d5b147e1ee3f6c6f3bc0ed3295eff158d1e05111766

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.182142Z digest=sha256:fea507aab0ac282eb468e79722d37c064094e7648470ac9337e02904c2817b75

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.190866Z digest=sha256:db5dedec363302863b5b6c27dbf81e3e97b7d7687dabb0db6812912475819922

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.197372Z digest=sha256:84ba2b74b88fbe3174dc48180f37052f2f5a074505e8e720b36b3db53bd7a097

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.206364Z digest=sha256:c6fbd9f7074a38f0243cb97d392533be2613e95aa65d446ccaea1e432fef0923

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.214143Z digest=sha256:4db509b44fc57c1c6af609f197599694fec751d1ba1b5b72ad6eedba478bf28e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.222225Z digest=sha256:34dc0f433155e5d9b6385f17111f88f926cbed698f6611f1524159f2cf8e0e90

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.229988Z digest=sha256:213ee077719451eb21d485be7bc4f5a09eaf9a4ff5c534828b7932606a550714

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.236180Z digest=sha256:fb009b292492f1c266c69e7b5b753036094c00e9d45b9db29a9175b83408595b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T10:24:24.241967Z digest=sha256:2fb1a4fd73d085ae6693305c2d69edc52a7e3620709a5f19347f2e396b756288

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=sha256:96eea7477a5b995ed5cb81d8fc5dd17bdcf279d03e2c7503410488c655442442