Paper Citation Record · LEDGER

Extended weak order for the affine symmetric group

As of 20 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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 2026-08-19T06:32:44.657259+00:00.

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.

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 2026-08-19T06:32:44.657259+00:00.

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.