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Paper Citation Record · LEDGER

Extended weak order for the affine symmetric group

As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 3 inbound Pith citation observations for arXiv:2502.05875.

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

pith.paper-citation-record.v1
2502.05875 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:47:27.999495Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T13:39:20.283819Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-09T06:15:39.570783Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a6a5960-bd7d-4571-adab-bf844861063a · outbound

This paper cites Wide subcategories and lattices of t orsion classes.

Extended weak order for the affine symmetric group Wide subcategories and lattices of t orsion classes

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.195607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.934929Z digest=sha256:078c92a7f2c61f8d991a3a1757eb08e2d54bed858f20783e2644e6606b3041be

Observation e16ee3b3-f5b2-44a6-9581-74aadbe81a05 · outbound

This paper cites Barkley and David E Speyer.

Extended weak order for the affine symmetric group Barkley and David E Speyer

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.187096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.939685Z digest=sha256:f9ca8b46ec29c5bc864e4c9288021aa571702771923f2fe097b9c63a2b537e18

Observation b69bcebe-567c-44d1-bc87-c0ceb4546e95 · outbound

This paper cites Barkley and David E.

Extended weak order for the affine symmetric group Barkley and David E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.178460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.942770Z digest=sha256:70c02115f5e68114672dcb77c428e1ea4c7f9ae50f280be568602be8a7e0a95e

Observation 1337c9aa-0b28-41f1-8584-6fcbf57fcbf2 · outbound

This paper cites Orderings of Coxeter groups.

Extended weak order for the affine symmetric group Orderings of Coxeter groups

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.170475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.945753Z digest=sha256:f3a4117177ec63661c225e1d6508a379c345949b854d75a68def6a5e5597172a

Observation 579298ed-c91f-478f-ad4c-44c7b64f99ab · outbound

This paper cites The structure of total reflection ord ers in affine root systems.

Extended weak order for the affine symmetric group The structure of total reflection ord ers in affine root systems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.162607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.948933Z digest=sha256:3e69e6d3eaf25780474df93c19c1651dc27cb14bd0c1e4066750806ff518243f

Observation 62595cac-5f0e-4023-aa97-10db7e227444 · outbound

This paper cites Shard modules, 2023.

Extended weak order for the affine symmetric group Shard modules, 2023

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.153746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.952048Z digest=sha256:5015ee49c9a411854df78999a47fc4726a9b8bf4fcb8eaedd2388e32f86fecc0

Observation 8b49e677-aa4c-457a-8626-7398271f5b19 · outbound

This paper cites On permutation lattic es.

Extended weak order for the affine symmetric group On permutation lattic es

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.145684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.955285Z digest=sha256:f24e10f6efb6d76a17e14f15187fa28ed23b682ccf096fe146a1ec233ae4cfe5

Observation 7eba83ec-516c-4731-8617-42815bc36daf · outbound

This paper cites On the weak order of Coxeter groups.

Extended weak order for the affine symmetric group On the weak order of Coxeter groups

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.137292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.958526Z digest=sha256:313ad56bb98adb2fe0eaf820472600082e7b094a82ac43489846d5ce42b2e641

Observation 1cdc3fa2-61b8-4120-9956-517fbaa3664d · outbound

This paper cites an unresolved cited work.

Extended weak order for the affine symmetric group Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:47:28.129292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.961555Z digest=sha256:f547eabee45ae40d46707f6ca424b1584c22240eb470dcd51df0a5eca97308c6

Observation 2bee182f-52df-40f8-ad5b-cd4b05f29a94 · outbound

This paper cites an unresolved cited work.

Extended weak order for the affine symmetric group Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-08T17:47:28.121379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.964584Z digest=sha256:1a5c6380b411f7f0ae708c8322bab25d874d05898bd31e8eeb026bb015b35f59

Observation c36bfabf-5c91-4578-b57b-b75b3b69ac5e · outbound

This paper cites Parameterizations of infinite biconvex sets in affine roo t systems.

Extended weak order for the affine symmetric group Parameterizations of infinite biconvex sets in affine roo t systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.113563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.968112Z digest=sha256:c092a0eb9c577fb9d5353d98195efc329ac74af02bc864ecb2e663c2010f1caf

Observation 667725db-3da4-448a-a2a4-41d4e6b2c977 · outbound

This paper cites Lattice structure of Weyl groups via representation theory of preprojective algebras.

Extended weak order for the affine symmetric group Lattice structure of Weyl groups via representation theory of preprojective algebras

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.105079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.970945Z digest=sha256:80ec34fd44ce30078f4546ff5aa2eaa4a8c5a6cfb4b66554cc18a09a2d1c306b

Observation e4587dd5-f438-4a5a-b246-39b6e10cf543 · outbound

This paper cites Total positivity for loop grou ps II: Chevalley generators.

Extended weak order for the affine symmetric group Total positivity for loop grou ps II: Chevalley generators

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.096535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.973752Z digest=sha256:32586e611081a10d3cc2e64677dd940fc1a274a20d97388a691edc62ad36ee0c

Observation a6142e1a-f053-4287-9efc-6a63bb294a50 · outbound

This paper cites Shard polytopes.

Extended weak order for the affine symmetric group Shard polytopes

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.088225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.977738Z digest=sha256:0976e25082be04eb0cdfac34873f15701294fa8ed9b26fb4a8b09eda88d233b0

Observation 82bfb085-531c-42df-b7d8-71c500607b07 · outbound

This paper cites Noncrossing partitions and the shard interse ction order.

Extended weak order for the affine symmetric group Noncrossing partitions and the shard interse ction order

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.079764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.981216Z digest=sha256:00bfdf1d6a790ac6af5cfc8bab5febcd119f81335c4fa3ca4c8884293c4e29e0

Observation c72a28c0-6959-4918-bba6-4f26b843825d · outbound

This paper cites Noncrossing arc diagrams and canonical join r epresentations.

Extended weak order for the affine symmetric group Noncrossing arc diagrams and canonical join r epresentations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.070560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.984087Z digest=sha256:a9aba6bd11a292af3d444ff1c44a7c01242afc5919fac8553cfecdce6dc4be53

Observation 086471a8-a0c8-4e14-8c46-31b9d756daab · outbound

This paper cites Lattice theory of the poset of regions.

Extended weak order for the affine symmetric group Lattice theory of the poset of regions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.061012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.987130Z digest=sha256:2526af59c36552880d4f74e99e24317d48134e2bb8c6d449f4787073aaa53ece

Observation ff927404-b5f4-40f7-ac1c-b5f535fe8329 · outbound

This paper cites Finite Coxeter groups and the weak order.

Extended weak order for the affine symmetric group Finite Coxeter groups and the weak order

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.051743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.990074Z digest=sha256:d6f46c6af29fd3225edb7f9e9741e3c9210df58c267523b3fb818f9936dd9949

Observation fc5c15c4-a6bb-4fdc-a4fc-b69483f7f7d3 · outbound

This paper cites Rowmotion in slow motion.

Extended weak order for the affine symmetric group Rowmotion in slow motion

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.041882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.992920Z digest=sha256:05b7927fab9df4cdfd57311e10b450395e0deda26d43160f69ee0e826c8deae4

Observation 3543fa7f-8f21-4109-ba72-ec285772030a · outbound

This paper cites Logic, Algebra and Topology.

Extended weak order for the affine symmetric group Logic, Algebra and Topology

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.032888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.995972Z digest=sha256:e37d443c3967c6fe3e35b9edaee2990f91ad6560aca794fdc97f475239ab2895

Observation 1d5901ae-6410-4236-a515-082e229a30f4 · outbound

This paper cites Infinite reduced words, lattice property and braid graph of affine Weyl groups.

Extended weak order for the affine symmetric group Infinite reduced words, lattice property and braid graph of affine Weyl groups

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T17:47:28.023010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T17:47:27.999495Z digest=sha256:3dd85728b670b836a6e9177c3c28bd04dea9e6574d14cf003a45aa6f7b931e68

Pith citing papers

Observation a2cd5642-1435-475b-b8a5-3148aefd0dd5 · inbound

The Affine Tamari Lattice cites this paper.

The Affine Tamari Lattice Extended weak order for the affine symmetric group

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-08T13:39:20.283819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:39:20.283819Z digest=sha256:3b6365758a6af07a9be961089b5ae5351f7002225033bc16d20467bdb2e7c02f

Observation 4bdd429e-8785-49fb-a901-3161251153c7 · inbound

A generalization in affine type A of Coxeter sortable elements and Reading's bijection with noncrossing partitions cites this paper.

A generalization in affine type A of Coxeter sortable elements and Reading's bijection with noncrossing partitions Extended weak order for the affine symmetric group

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:15:39.572242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-08T18:39:02.149697Z digest=sha256:99e2268e3c35d648e4a46311f17017d4907f0f7bf682c0eb1fea4642c867812d

Observation da2eef92-57f9-4c9c-b912-bc97a82214d2 · inbound

Computing Tools for Translation-Invariant Total Orders cites this paper.

Computing Tools for Translation-Invariant Total Orders Extended weak order for the affine symmetric group

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T03:42:52.435680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:42:52.435680Z digest=sha256:6d3743c16483ed5f8f3abc7ff7b03a6ce729ecfd6da00316e94aae3fa949d77d