Paper Citation Record · LEDGER

Brion atoms for classical types

As of 15 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2512.19034.

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

pith.paper-citation-record.v1
2512.19034 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:54:03.352757Z

measured 34 of 34 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 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

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0bc1ff64-575d-4874-97f0-8926b641d756 · outbound

This paper cites Billey, Transition equations for isotropic flag manifolds,Discrete Math.193, 69–84.

Brion atoms for classical types Billey, Transition equations for isotropic flag manifolds,Discrete Math.193, 69–84

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.008251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1908cd02-d86e-4ded-a116-04e8f584fed3 · outbound

This paper cites Billey and M.

Brion atoms for classical types Billey and M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.046348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa1cf279-01d1-468a-82d9-45ca145ba0a6 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.054182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9707a865-5540-4a44-87ba-accb6a303968 · outbound

This paper cites Billey and T.

Brion atoms for classical types Billey and T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.101315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55e131aa-a35f-4268-8cf6-4c5e6515c035 · outbound

This paper cites Brion, On orbit closures of spherical subgroups in flag varieties,Comment.

Brion atoms for classical types Brion, On orbit closures of spherical subgroups in flag varieties,Comment

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.108336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da7efbc-0562-417d-8aaf-a8b1232d6a0c · outbound

This paper cites Reduced words for clans.

Brion atoms for classical types Reduced words for clans

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.142369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11c066ff-c971-45a6-8c14-598aa9a8c5c8 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.175554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aa8af60-6a9b-4edd-96ef-aac2c131d981 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.195093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 583916d2-87ed-4085-8e1a-d62a0142378d · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.210311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72667330-bcb4-4f30-9d55-88589c421ca3 · outbound

This paper cites Hamaker and E.

Brion atoms for classical types Hamaker and E

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.313173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35893a4e-c0c2-4d15-acfc-08b60ab23275 · outbound

This paper cites Hamaker, E.

Brion atoms for classical types Hamaker, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.422301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bafea14e-1533-4c43-8236-6f93858c2180 · outbound

This paper cites Hamaker, E.

Brion atoms for classical types Hamaker, E

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.589015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1de875a8-a700-47af-9b2e-a9382187592b · outbound

This paper cites Hamaker, E.

Brion atoms for classical types Hamaker, E

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.693372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa61c1c4-b496-4e31-91a9-c6860242a5eb · outbound

This paper cites Hamaker, E.

Brion atoms for classical types Hamaker, E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.798084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 538e4982-b1f6-4012-94e4-98fb95e6c045 · outbound

This paper cites Hansson and A.

Brion atoms for classical types Hansson and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.853544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 250de7a2-51fe-4463-8c2f-0af38fcb5318 · outbound

This paper cites Hu and J.

Brion atoms for classical types Hu and J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.910871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6410cba3-b397-4197-b39a-b4fb9b94cf65 · outbound

This paper cites Hultman, The combinatorics of twisted involutions in Coxeter groups,Trans.

Brion atoms for classical types Hultman, The combinatorics of twisted involutions in Coxeter groups,Trans

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:01.956714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d71ffbe-9745-46e1-b77e-1a0b1a1a0521 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.009652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78cbdc70-6d01-4ca4-8775-aa25bd66ba5f · outbound

This paper cites Frobenius splitting and M\"obius inversion.

Brion atoms for classical types Frobenius splitting and M\"obius inversion

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.035099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd92305a-431c-41be-8a00-cae788adba3b · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.097871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 669f298f-a24f-4976-bdf4-6f82552a1a06 · outbound

This paper cites Marberg, On some actions of the 0-Hecke monoids of affine symmetric groups,J.

Brion atoms for classical types Marberg, On some actions of the 0-Hecke monoids of affine symmetric groups,J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.219378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60b6f2f0-9b5f-42d4-9731-72ceefbd2d27 · outbound

This paper cites Marberg, A symplectic refinement of shifted Hecke insertion,J.

Brion atoms for classical types Marberg, A symplectic refinement of shifted Hecke insertion,J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.327366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fc923d9-003a-46c6-9395-20ce21f41559 · outbound

This paper cites Marberg and B.

Brion atoms for classical types Marberg and B

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.401042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d2bb8c5-9286-4e2b-af73-c2e0fca1e75a · outbound

This paper cites Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups,J.

Brion atoms for classical types Matsuki, The orbits of affine symmetric spaces under the action of minimal parabolic subgroups,J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.498224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2806889-6576-4ec3-bb6b-660b734ff0b4 · outbound

This paper cites The orbit method in representation theory,.

Brion atoms for classical types The orbit method in representation theory,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.608086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a0e1a2a-cb3d-45c3-a35a-47131d4a99be · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.667190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d7fef85-719d-42ce-a552-d882158bed10 · outbound

This paper cites Pawlowski, Universal graph Schubert varieties,Transform.

Brion atoms for classical types Pawlowski, Universal graph Schubert varieties,Transform

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.769829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebaa200e-1a2c-4224-9082-a41e570a1a1f · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.826613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f02effb-87c6-4d27-8ecc-e177702b3e0c · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.895960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5858ad9-a09c-4a3c-823e-260233653e42 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:02.953858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fae747d4-dffd-4dc2-a621-b0dc20551042 · outbound

This paper cites Symmetric subgroup orbit closures on flag varieties: Their equivariant geometry, combinatorics, and connections with degeneracy loci.

Brion atoms for classical types Symmetric subgroup orbit closures on flag varieties: Their equivariant geometry, combinatorics, and connections with degeneracy loci

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:03.062465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8187aa89-a639-4e99-b567-ddca89a28195 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:03.122538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f45fb53-035f-43ac-a709-1608b9928e23 · outbound

This paper cites an unresolved cited work.

Brion atoms for classical types Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:03.290862Z

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Unavailable: canonical work link unavailable.

Observation e151b0b9-ba5d-48d7-a8c3-45883d0b82b1 · outbound

This paper cites Yamamoto, Orbits in the flag variety and images of the moment map for classical groups I,Represent.

Brion atoms for classical types Yamamoto, Orbits in the flag variety and images of the moment map for classical groups I,Represent

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T14:54:03.352757Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.