Paper Citation Record · LEDGER

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.13518.

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

pith.paper-citation-record.v1
2606.13518 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T06:16:54.172667Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

17 of 17 outbound references displayed

verified exact5
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dd695d5-ea71-4291-b4cb-f2b97624e16d · outbound

This paper cites Anderson, G.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Anderson, G

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-03T15:58:37.946374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 148de7bf-512e-48f2-8bb7-9118eef32bf4 · outbound

This paper cites 231, Springer, New York, 2005.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams 231, Springer, New York, 2005

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4b3b166-355d-4a31-811f-f5f2fb3caa7e · outbound

This paper cites Behrend, Osculating paths and oscillating tableaux, Electron.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Behrend, Osculating paths and oscillating tableaux, Electron

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e79da25b-333d-41b7-9fb7-02155ed691d2 · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4164714-f7dd-4f2f-b835-71541768bfbe · outbound

This paper cites Algebra and geometry of ASM weak order.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Algebra and geometry of ASM weak order

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-03T15:58:37.957768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 66d7bf6d-53e3-4084-96bc-d3365123996b · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c3e8ae9-f256-4024-b7ff-bc459ba32a49 · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 787556b8-5c81-49c2-a4f5-60218fb05d02 · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13190203-e2b5-4361-b77f-0e9a8560157a · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ab53ab8-96ce-4331-9d49-96e09eaa7214 · outbound

This paper cites Frobenius splitting, point-counting, and degeneration.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Frobenius splitting, point-counting, and degeneration

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-03T15:58:37.952266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f40551d5-fcb9-4709-853f-bcacd5756ca0 · outbound

This paper cites Bumpless pipe dreams encode Gr\"obner geometry of Schubert polynomials.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Bumpless pipe dreams encode Gr\"obner geometry of Schubert polynomials

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-03T15:58:37.949480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 94740467-d45b-4862-9349-65bc4dfce71a · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bd92987-d9cf-4035-a5ac-4d28b4de6f4a · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e55422d-0f16-4666-8db7-79d53a26e55c · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad965d9f-65fa-4e8d-b149-76adbe6924c3 · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 114e6e59-416d-4615-97a5-37839ae4f5cb · outbound

This paper cites Prism tableaux for alternating sign matrix varieties.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Prism tableaux for alternating sign matrix varieties

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-03T15:58:37.955120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce75ee40-edea-40e4-9189-b8c1ed947172 · outbound

This paper cites an unresolved cited work.

Weak order: Alternating sign matrices, monotone triangles, and bumpless pipe dreams Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T06:16:54.172667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.