Paper Citation Record · LEDGER

Signed puzzles for Schubert coefficients

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 3 inbound Pith citation observations for arXiv:2504.17734.

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

pith.paper-citation-record.v1
2504.17734 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:42:58.854246Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:10:37.957847Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T10:01:28.457729Z

Reference resolution

33 of 33 outbound references displayed

verified exact2
verified fuzzy5
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bbb8b27-3f24-4bd9-813a-4b57736db90d · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.305551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 67dfb905-853f-4107-8ce2-0d937f3ed58b · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.290878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d0a6f41a-8f87-42d5-bbe7-54eb53a7de96 · outbound

This paper cites 284 (2015), 54--111.

Signed puzzles for Schubert coefficients 284 (2015), 54--111

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:42:59.276892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 367e97c6-5865-4899-8313-d8fe6008f44f · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.263163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03e559a5-ce02-402c-b3d9-8d5cc946de01 · outbound

This paper cites Buch, Andrew Kresch, Kevin Purbhoo and Harry Tamvakis, The puzzle conjecture for the cohomology of two-step flag manifolds, J.

Signed puzzles for Schubert coefficients Buch, Andrew Kresch, Kevin Purbhoo and Harry Tamvakis, The puzzle conjecture for the cohomology of two-step flag manifolds, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.734397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd44fb81-2214-40b3-a6a6-0b0338345403 · outbound

This paper cites 159 (2005), 407--436.

Signed puzzles for Schubert coefficients 159 (2005), 407--436

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:42:59.239817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cd945506-1c1c-43f0-afbc-ed0814d77143 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.743106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dabd6c2-68f8-44e3-85df-2d4a4b96787e · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.217675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c5d2f767-feb7-4615-8890-f642399b4d7a · outbound

This paper cites Shephard, Tilings and patterns, Freeman, New York, 1987, 700 pp.

Signed puzzles for Schubert coefficients Shephard, Tilings and patterns, Freeman, New York, 1987, 700 pp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:42:59.204436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 18b4a671-5fac-4363-a483-d67281fb95ef · outbound

This paper cites (2024), no.

Signed puzzles for Schubert coefficients (2024), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.754191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c5b576a-fe7c-4419-9102-12a1519d7d34 · outbound

This paper cites 10 (2001), 345--353.

Signed puzzles for Schubert coefficients 10 (2001), 345--353

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.758413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e636ce67-0491-46ed-9b39-3e5e21877818 · outbound

This paper cites A Schubert calculus recurrence from the noncomplex W-action on G/B.

Signed puzzles for Schubert coefficients A Schubert calculus recurrence from the noncomplex W-action on G/B

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:42:59.003650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a550f48-22a0-4273-9480-70983f2ee8aa · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.172483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4418b4a7-2dd6-4f67-9931-8b02d135e5c8 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.158123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4854c7c3-aca2-4e12-9153-8725b05ddcab · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.143157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2154fd5a-c03a-4889-9e9b-3084aa865492 · outbound

This paper cites Schubert puzzles and integrability I: invariant trilinear forms.

Signed puzzles for Schubert coefficients Schubert puzzles and integrability I: invariant trilinear forms

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.780216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9416fbfb-1de6-4354-8f2e-480d13336422 · outbound

This paper cites Schubert puzzles and integrability II: multiplying motivic Segre classes.

Signed puzzles for Schubert coefficients Schubert puzzles and integrability II: multiplying motivic Segre classes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.784982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d7446ac-6f05-45a5-8dc7-56951cea01ee · outbound

This paper cites Schubert puzzles and integrability III: separated descents.

Signed puzzles for Schubert coefficients Schubert puzzles and integrability III: separated descents

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.789900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5069ed77-e6ba-400f-a55d-48576a056e26 · outbound

This paper cites Macdonald, Notes on Schubert polynomials, Publ.\ LaCIM, UQAM, Montreal, 1991, 116 pp.

Signed puzzles for Schubert coefficients Macdonald, Notes on Schubert polynomials, Publ.\ LaCIM, UQAM, Montreal, 1991, 116 pp

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.794828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ffb8ac8-39dd-4681-8f1c-41076e6882c6 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.800222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8e456c5-6181-440e-9ab9-f40e922f556a · outbound

This paper cites Cecilia Verri, Strip tiling and regular grammars, Theoret.\ Comput.\ Sci.

Signed puzzles for Schubert coefficients Cecilia Verri, Strip tiling and regular grammars, Theoret.\ Comput.\ Sci

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:42:59.113111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fff8bd48-f558-4e82-9ec8-0ffe9d2fae83 · outbound

This paper cites Some Polyomino Tilings of the Plane.

Signed puzzles for Schubert coefficients Some Polyomino Tilings of the Plane

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:42:58.938728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0581fd2a-2c72-4eea-ac40-60f482b2d5ac · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.813526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a96c21e7-98c0-488f-90ec-6e2e2a8729af · outbound

This paper cites Signed combinatorial interpretations in algebraic combinatorics.

Signed puzzles for Schubert coefficients Signed combinatorial interpretations in algebraic combinatorics

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.817771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c79dde4-2d55-47f8-a80c-cada7b08d713 · outbound

This paper cites Vanishing of Schubert Coefficients.

Signed puzzles for Schubert coefficients Vanishing of Schubert Coefficients

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.822146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 150f724b-f01d-44c9-ba23-dda7d65ee736 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.091716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3ef5f6a-96de-45c4-a827-9af93afe5d6c · outbound

This paper cites 153 (2017), 667--677.

Signed puzzles for Schubert coefficients 153 (2017), 667--677

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:42:59.077328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 22b73321-3207-46b3-a2f8-f4ca80d543df · outbound

This paper cites Stanley, Chains in the Bruhat order, J.\ Algebraic Combin.

Signed puzzles for Schubert coefficients Stanley, Chains in the Bruhat order, J.\ Algebraic Combin

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.833564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4134562-3a73-4745-ace4-4b7e6f9278b8 · outbound

This paper cites Stanley, Enumerative Combinatorics , vol.

Signed puzzles for Schubert coefficients Stanley, Enumerative Combinatorics , vol

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.837907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9097fe2e-d537-4204-9bcb-146dccf1d448 · outbound

This paper cites Stanley, Positivity problems and conjectures in algebraic combinatorics, in Mathematics: frontiers and perspectives, AMS, Providence, RI, 2000, 295--319.

Signed puzzles for Schubert coefficients Stanley, Positivity problems and conjectures in algebraic combinatorics, in Mathematics: frontiers and perspectives, AMS, Providence, RI, 2000, 295--319

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.842223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31e7d44d-83d8-4d66-831a-feb4d1fcc9fa · outbound

This paper cites Some Schubert shenanigans.

Signed puzzles for Schubert coefficients Some Schubert shenanigans

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T10:42:58.846286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5f20d60-f0f1-4221-a7b8-a4f8f6f180e5 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.033905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 88ab2c7b-74d4-4ab9-b741-e07d7e747143 · outbound

This paper cites an unresolved cited work.

Signed puzzles for Schubert coefficients Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:42:59.019287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation fc2b2882-0695-429b-8a46-d5620e30fc7b · inbound

Sums of Schubert structure constants with bounded Coxeter length cites this paper.

Sums of Schubert structure constants with bounded Coxeter length Signed puzzles for Schubert coefficients

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T20:10:37.957847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17a3f0f5-1368-459f-9312-6f1316882908 · inbound

Richardson tableaux and Schubert positivity cites this paper.

Richardson tableaux and Schubert positivity Signed puzzles for Schubert coefficients

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T10:03:09.924276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b85ef2d-133d-407b-9158-ba695bd7f5ff · inbound

Stretched Schubert coefficients are eventually quasi-polynomial cites this paper.

Stretched Schubert coefficients are eventually quasi-polynomial Signed puzzles for Schubert coefficients

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-07-13T01:20:01.750958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.