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Paper Citation Record · LEDGER

Persistent Subdivisions of Coxeter Permutahedra

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2606.28680.

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

pith.paper-citation-record.v1
2606.28680 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T10:07:27.627938Z

measured 32 of 32 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T07:37:40.135398Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

  • verified exact8
  • verified fuzzy14
  • unresolved2
  • parse uncertain0
  • malformed identifier7
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5739d013-5aa0-49f6-ba83-b3b4fd532f61 · outbound

This paper cites Coxeter submodular functions and deformations of Coxeter permutahedra.

Persistent Subdivisions of Coxeter Permutahedra Coxeter submodular functions and deformations of Coxeter permutahedra

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-06-30T10:14:35.618014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:eefadbec86b8a2b88a87da20b0accc8cc7f27adfac83f4c824457ea0f2ec7e6a

Observation 649cf504-2f4e-4097-b014-f129b4f4e9eb · outbound

This paper cites Duke Math.

Persistent Subdivisions of Coxeter Permutahedra Duke Math

Reference 2

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.611792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:3fe5abc079c885c830b857b9dedab301fad573dcb6fb0e0a7b76eca3252b6e96

Observation e28191d5-c965-4a3d-ab99-86331bb9754c · outbound

This paper cites How to integrate a polynomial over a simplex.

Persistent Subdivisions of Coxeter Permutahedra How to integrate a polynomial over a simplex

Reference 3

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.613584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:a2f234a6e197068b4104dc4717c999fe4168ceca160fdc56604984f04e33364f

Observation 82c33d76-bc2b-4552-bcd2-76f8efe902eb · outbound

This paper cites Barvinok.Integer Points in Polyhedra.

Persistent Subdivisions of Coxeter Permutahedra Barvinok.Integer Points in Polyhedra

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.999895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:404e553f92d87103bc824ae1f8e519d0ccc83254a61171d47a326de7bd5e5169

Observation 66adaa9a-1d91-44dc-b810-2085de084bd8 · outbound

This paper cites An Algorithmic Theory of Lattice Points in Polyhedra.

Persistent Subdivisions of Coxeter Permutahedra An Algorithmic Theory of Lattice Points in Polyhedra

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:19.001726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:9ecdb7a27e9aadd5c79fc2c67b433ade94892c66e6736ba8d547606638b19527

Observation 2c651439-767d-4c5a-933e-dce28390700c · outbound

This paper cites Beck and S.

Persistent Subdivisions of Coxeter Permutahedra Beck and S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.996502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:0f9cf6571307e4e3bb6ac3238d1e466c6bf612566ecdb443767e69f2275d3459

Observation 3cd50ceb-28a5-4207-b3e7-8e0e3a3c8f8e · outbound

This paper cites Bj¨ orner and F.

Persistent Subdivisions of Coxeter Permutahedra Bj¨ orner and F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.998208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:9e7bbb10d6bcd056c92892e214d5f32e508a3a3c1ac653d99a0937b82436e24e

Observation 4cab769e-b8ff-4166-8f89-3f0b306c6ef7 · outbound

This paper cites Bj¨ orner, M.

Persistent Subdivisions of Coxeter Permutahedra Bj¨ orner, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.994263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:67bdc3bb06ee5779bffcf4e1933610a1301febce48638a8fdb58c31c4a2acb17

Observation cbd69867-0e36-4d0c-879f-6a75939013a5 · outbound

This paper cites In: Proc.

Persistent Subdivisions of Coxeter Permutahedra In: Proc

Reference 9

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.612622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:9a01fc2f73d47827cf3aae84fabcb8ec86d2ff8fae198a19691f0a28ad80053b

Observation 16af9974-f0d5-446d-bdf7-e7ece697bbba · outbound

This paper cites Tropical flag varieties.

Persistent Subdivisions of Coxeter Permutahedra Tropical flag varieties

Reference 10

Resolution
malformed identifier
arxiv_id, observed 2026-06-30T10:14:35.634230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:18bdf73ec06c20523b3f28e615c62bf877e7884a2d741bccc62acbbe29112ddc

Observation 5ddd93b6-1e28-461a-93fe-5a03aa669c27 · outbound

This paper cites The\(s\)-Weak Order and\(s\)-Permutahedra I: Combinatorics and Lattice Structure.

Persistent Subdivisions of Coxeter Permutahedra The\(s\)-Weak Order and\(s\)-Permutahedra I: Combinatorics and Lattice Structure

Reference 11

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.629975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:8c6a1e2865c4f9d64ad749de02e4e34f81cba424de7fb5ea6c568e0382345437

Observation 68eaac30-c2aa-4c17-8d34-c899d0ee7796 · outbound

This paper cites Wonderful models of subspace arrangements.

Persistent Subdivisions of Coxeter Permutahedra Wonderful models of subspace arrangements

Reference 12

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.635589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:662590e5558c4a9d45bfe3b04e2424ae5f5a7fc25304a67731b94bbf12d307ed

Observation 4ec6f896-667d-43a6-9a48-ccd54edff7d8 · outbound

This paper cites Topological Persistence and Simplification.

Persistent Subdivisions of Coxeter Permutahedra Topological Persistence and Simplification

Reference 13

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.627120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:c3a2f86b1698f5aabf0e911cb74b8d41f4ef7f8e1754b65e17e09f1d1aa2419a

Observation a8e31306-b41e-4ac3-bf29-012cc355497a · outbound

This paper cites an unresolved cited work.

Persistent Subdivisions of Coxeter Permutahedra Unresolved cited work

Reference 14

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.631047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:a04a54d6fbd1bda88df82eacb9254d738140dcf622fe5af8e3df3763062c21b8

Observation a4e11f53-5737-4ebc-b205-9227dc63bbe8 · outbound

This paper cites Permutahedron tri- angulations via total linear stability and the dual braid group.arXiv preprint arXiv:2509.11497, 2025.

Persistent Subdivisions of Coxeter Permutahedra Permutahedron tri- angulations via total linear stability and the dual braid group.arXiv preprint arXiv:2509.11497, 2025

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-06-30T12:44:40.274094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:9512952edd52398bf1b1ac082868064e9076e23bef094a01ed3da87fc629f0ef

Observation c06da413-65e8-454c-81f2-5ef47e410754 · outbound

This paper cites Hatcher.Algebraic topology.

Persistent Subdivisions of Coxeter Permutahedra Hatcher.Algebraic topology

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:19.003347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:48fba98c6436b2db6a87dabf07879d3766229e1b2fa006d184279217fd3c13b4

Observation a038a0c3-22eb-46c2-a52f-57c744bf5bd2 · outbound

This paper cites The structure of the inverse system of Gorensteink-algebras.

Persistent Subdivisions of Coxeter Permutahedra The structure of the inverse system of Gorensteink-algebras

Reference 17

Resolution
malformed identifier
doi_truncated, observed 2026-06-30T10:14:35.620395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:cdd6ae10f1c6d1d970515eb36a1b406a408ef9bfe22a9f0a2f71304f96b1b830

Observation 2e227324-63b4-4063-b954-fd83688a31df · outbound

This paper cites an unresolved cited work.

Persistent Subdivisions of Coxeter Permutahedra Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.618702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:2d0efd4c11299f963728f8075f0187b3f8602ea244d5de9470819c0a97d0fbee

Observation d812ecfe-49ee-49cb-bd6a-c9da953760a4 · outbound

This paper cites The universality theorems on the classification problem of configuration varieties and convex polytope varieties.

Persistent Subdivisions of Coxeter Permutahedra The universality theorems on the classification problem of configuration varieties and convex polytope varieties

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.989043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:143ae9dd639922f286d2b5b4f30a1df52aa93a4fd39460ad5927d010ab9b48ed

Observation 868b7450-d345-4949-b8ff-55c372f479f2 · outbound

This paper cites Pons.Combinatorics of the Permutahedra, Associahedra, and Friends.

Persistent Subdivisions of Coxeter Permutahedra Pons.Combinatorics of the Permutahedra, Associahedra, and Friends

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.990713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:b02938ae022a510c3254df071aded49daa64e56a5631d95ee6f92f90bee2872b

Observation fe8a1adb-1a4e-4a35-874c-eaf6e895b0f4 · outbound

This paper cites Faces of generalized permutohedra.

Persistent Subdivisions of Coxeter Permutahedra Faces of generalized permutohedra

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.992336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:c0418a710647d925a0f3605a20a79d08154622098dda4e4b99bb86eb54d63c97

Observation c4e6c378-1162-45db-96ef-37c3161af6cd · outbound

This paper cites Permutohedra, associahedra, and beyond.

Persistent Subdivisions of Coxeter Permutahedra Permutohedra, associahedra, and beyond

Reference 22

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.637591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:0e3e5280ac5eeb0fe489dd1e64d33840eee1851e778e4d9b1a92766fc658b2bd

Observation 53aea06c-b6a1-47e1-884e-ec0b239461cd · outbound

This paper cites An inequality.

Persistent Subdivisions of Coxeter Permutahedra An inequality

Reference 23

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.636442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:40fc840156ea1ad74c1f2042543a5f52882070439c6d6d50163e4d0320a37d00

Observation 82dc1108-96e9-4140-878e-4cd186126ff0 · outbound

This paper cites Richter-Gebert.Realization spaces of polytopes.

Persistent Subdivisions of Coxeter Permutahedra Richter-Gebert.Realization spaces of polytopes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.983388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:d77c2e4dbdc8dc704b918aa916919de85004ccb29851b68d218151199d19ac8c

Observation e60f5ff1-ffcc-4e01-8e7d-4ad6d0082988 · outbound

This paper cites The universality theorems for oriented matroids and polytopes.

Persistent Subdivisions of Coxeter Permutahedra The universality theorems for oriented matroids and polytopes

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.981570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:af498b5649f893e4fc90cb518b4cae7ea696258a429630238c03f9c9b8f7fc2d

Observation 826e77a3-98f8-4191-b7fb-d2804c03c6fd · outbound

This paper cites Realization spaces of 4-polytopes are universal.

Persistent Subdivisions of Coxeter Permutahedra Realization spaces of 4-polytopes are universal

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.985516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:672a6bb575e10ac3b07bf99035e9c6247b28b4f8a8bee2c41350654d1522f23f

Observation 2b4bd6fd-b1e7-4963-b924-74dbdc95b5be · outbound

This paper cites an unresolved cited work.

Persistent Subdivisions of Coxeter Permutahedra Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-09T15:16:18.978109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:885fe0bb969055d098ab313a6e83f819bc0c43bc9db068274d38b5b4487a8e57

Observation a70f07bf-9a0d-497e-9c8e-d992292c3279 · outbound

This paper cites an unresolved cited work.

Persistent Subdivisions of Coxeter Permutahedra Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-09T15:16:18.979539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:29a1ea11d68925e4b09ca9d4c327b64fff237b27b352cf8089b13aa954a3d7f9

Observation 806b5b1b-dfe4-4027-b7ad-7855761c742c · outbound

This paper cites Polyeder und Raumeinteilungen.

Persistent Subdivisions of Coxeter Permutahedra Polyeder und Raumeinteilungen

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.986502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:d9f77744d24fbf248f2359ef49824c83f71c814180bbafacfdd90e05e68ff18e

Observation bdde5c0b-e191-4d78-842c-496af16d1e2a · outbound

This paper cites Steinitz and H.

Persistent Subdivisions of Coxeter Permutahedra Steinitz and H

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T15:16:18.987239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:4d2a63707ecd42b3e4fdfd08d57cce981901eb490b2a83bbe60e5a784f03861a

Observation 7435cbdd-38ec-4498-b404-fb8cc32adcbc · outbound

This paper cites Bruhat interval polytopes.

Persistent Subdivisions of Coxeter Permutahedra Bruhat interval polytopes

Reference 31

Resolution
verified exact
doi, observed 2026-06-30T10:14:35.622033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:7abd97b3cd376db6aef8078763192a990cbadf59f2b9e5e1e38d45ec958ff312

Pith citing papers

Observation 73a96e58-a533-4ba0-9772-19a17be61095 · inbound

Permutahedra, Lusztig varieties, degenerations, and subdivisions cites this paper.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Persistent Subdivisions of Coxeter Permutahedra

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T07:37:40.135398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T07:37:40.135398Z digest=sha256:6d20a3be3462ba456e35e8cdb07a3b9b6132339cc769fc5fc470a3bc074cb049