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Paper Citation Record · LEDGER

Persistent Subdivisions of Coxeter Permutahedra

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:93dbd3875de7cc1069b13ca611478a5ecde9dc91d98ae31f427004edee812367

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:5c3c8dfc123e36ebd354005cf9da67ec5af21e3ce208c6271c6124f31e14e3b5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:3b4000f5a3c310d93b911f5256ba2dfd5efb16566895233f4071b3ea42014b16

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:302f65c8da8a1af7d20191878cd67597b95e6cc243723fd4ba63f0fb343e8be8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:2b9ced50656c85f2ae71c5b92a48d28e65a0a33210e4f47eb34e849da1f0901c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:f0078afba5ef26a4822703850a2d55f5e9a71c9abc043e08a9742da6c17e45ee

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:d227fddea14a7de27d41e451e32a65457c1c6eed66ee5fa235447f4d14f044a9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:510e7596c8dc8e75946bf3a1bc6131b39188028c7b4f37bc1b6cf819140adf84

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:cee522ec8ba926978d491f883202da241da3b22c4b5a8b428f5e3b4c998b33f0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:724d28f8c75412ef456c7d42f7d517e04bbec5ec26a69fd13d10d02861223c89

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:737712d4b7d4d649abdb1179d1d4c2fb8318fb2fb90cbdfb41b4a5763c73ce98

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:23b0451f5969b58591136ca2e9387fc021a6b315460861b3b75117d7a5cf53c2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:1fea9e48b1b5e4a924ca56e295569e169cbe84ae00f99162cc93771e042ba31c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:1dcaf588551a3cad52902888ea5726320d63403762698858f68e523e22aee778

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:92a52ebe3c58f36b780ed8259bf84b4553b5cc6e66a190dab498ac146489e6bd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:cb9983e16f4aa3a5f10a1bf222db1fc2b97076e5163e5e5f3e85fa04b8877625

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:95d046871e12c670f04177c6205d1a5a8c0c404d8f298912a1242bab6ff2e475

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:89a70356ffb9256e624ed3f418abb4bb9140ab059186421485dfb9f4cfb7507c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:284f176f7f1f377c9a57854a4d02eeed8166a7ae5feb135483182ed994f0b325

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:be12ca25b7a10aa61c27b1a5e5112bb3bf92ec2feb425339bf54329fdedb8463

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:3ff91bd18583f0bb82381579ff38d0323284f85de42af65d35b226a0bb2c6678

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:b0fe0c1475dfce04dee5e5ebe8389e7bb43c539d98193c2128f1f7975906ff2d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:346ff76e7ea4e85fc45e8e09380d01129d7ae08d6ebd4519b288e97de1fe7e07

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:eaf7861a6c7d1a5ad049945e12e6b533aab12d56bc306d5865da3d074a44173b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:409ff932bee14fb0af4e4b7770bcfd9a833e53aaf90cd57326b5411c7d03acf1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:42c911063c6173079325a7d127f1d57f75c491234187726a9e57c34b31d60d5d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:5e7e741e8e57b9eca8bdda06bf8cfa0701ea390061002069b05114f36d0e316d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:2f907da6379678c645f18c9b6e69a80da44092f41acc94edf403a46c5b7d6be8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:86e2857e801a4990852c3ed5ed2c3181f907c5d1f5233b20a557b46130c50017

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:3c34dfd5757b23cdce34912709880a63d03edaacd46693a5b85f85917dc8d374

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T10:07:27.627938Z digest=sha256:dcc246922ac9ff40064469c4674efbc1653873ac42ce0abb95ad29f4d24da7ab

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=sha256:25e27d814c5499824134face24346f7456cf7606d98ac0d9b1a6e845089881fb