Paper Citation Record · LEDGER

Computing Tools for Translation-Invariant Total Orders

As of 11 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2607.11709.

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

pith.paper-citation-record.v1
2607.11709 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T03:42:52.435680Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

8 of 8 outbound references displayed

verified exact1
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19da87f3-f4fb-4e14-8158-c136499a7efd · outbound

This paper cites The Affine Tamari Lattice.

Computing Tools for Translation-Invariant Total Orders The Affine Tamari Lattice

Reference 1

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Extended weak order for the affine symmetric group.

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.

Observation e7d27e55-ba74-4047-bfbb-f7f83bd4c9fa · outbound

This paper cites Barkley and David E Speyer.Affine extended weak order is a lattice.

Computing Tools for Translation-Invariant Total Orders Barkley and David E Speyer.Affine extended weak order is a lattice

Reference 3

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d38c519f-8e0b-4671-aaef-6104bc607d4f · outbound

This paper cites Combinatorial descriptions of biclosed sets in affine type.

Computing Tools for Translation-Invariant Total Orders Combinatorial descriptions of biclosed sets in affine type

Reference 4

Resolution: verified exact; doi, observed 2026-07-14T03:50:12.859074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6d848594-447f-41a2-98eb-4ae089d354b3 · outbound

This paper cites an unresolved cited work.

Computing Tools for Translation-Invariant Total Orders Unresolved cited work

Reference 5

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39a3485b-3fd1-4cfe-8bf6-e4bf15a4cfed · outbound

This paper cites Algorithm 97: Shortest path.

Computing Tools for Translation-Invariant Total Orders Algorithm 97: Shortest path

Reference 6

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61cc425b-343c-46d4-8962-83026abdda01 · outbound

This paper cites On inversion sets and the weak order in Coxeter groups.

Computing Tools for Translation-Invariant Total Orders On inversion sets and the weak order in Coxeter groups

Reference 7

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 130e6082-78af-4fb5-a49e-0b8d4e3884f8 · outbound

This paper cites A theorem on Boolean Matrices.

Computing Tools for Translation-Invariant Total Orders A theorem on Boolean Matrices

Reference 8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.