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Paper Citation Record · LEDGER

Enumeration of crossings in two-step puzzles

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2411.08412.

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

pith.paper-citation-record.v1
2411.08412 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:46:52.420755Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 710f7c61-af88-4cec-b5a6-5c39bf074c7a · outbound

This paper cites Mutations of puzzles and equivariant cohomology of two-step flag varieties.

Enumeration of crossings in two-step puzzles Mutations of puzzles and equivariant cohomology of two-step flag varieties

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.711493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.357393Z digest=sha256:f0138bdd00a0a57272ec899d3260857ec8206d5381e6c379b265dce1b358deec

Observation 1bf47af1-2d13-4197-81e4-2cd8f341f1f7 · outbound

This paper cites Quantum cohomology of Grassmannians.

Enumeration of crossings in two-step puzzles Quantum cohomology of Grassmannians

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.693076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.364424Z digest=sha256:8e270d7e04ab2deb4e2f4ab26137a780dde778b816aded58065c3b2272f372c4

Observation d34d208c-0547-4bcc-8aa3-e6cc89c8e6d0 · outbound

This paper cites The puzzle conjecture for the cohomology of two-step flag manifolds.

Enumeration of crossings in two-step puzzles The puzzle conjecture for the cohomology of two-step flag manifolds

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.666313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.370331Z digest=sha256:0cdfc74606a60c95a040748d601c0eef74bdd713687ebae6e82ce3a6a0557d1f

Observation 48420fde-4f40-4c27-93c1-b74f5d8aa7d7 · outbound

This paper cites Gromov-Witten invariants on Grassmannians.

Enumeration of crossings in two-step puzzles Gromov-Witten invariants on Grassmannians

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.644421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.375938Z digest=sha256:1e7eb57c105eed85cb24df1c41054dead1419c6a8ac1bdc7f8398733bbdd0e09

Observation 3d0db691-73b3-4413-b791-17d27039b1b4 · outbound

This paper cites A Littlewood-Richardson rule for two-step flag varieties.

Enumeration of crossings in two-step puzzles A Littlewood-Richardson rule for two-step flag varieties

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.625232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.381581Z digest=sha256:3e5effd6d2f001a4823497dfb035b5df5844a588508d4189048979d2aba52e52

Observation 71b200e9-7677-4e6e-bcac-5f655ede79db · outbound

This paper cites Geometric positivity in the cohomology of homogeneous spaces and gen- eralized Schubert calculus.

Enumeration of crossings in two-step puzzles Geometric positivity in the cohomology of homogeneous spaces and gen- eralized Schubert calculus

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.604542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.387061Z digest=sha256:bf6fe0ae4a1831f33374334874d46e1fe3dce16be4422906fdd055506cc139d6

Observation 5136166c-a0fa-467b-9efa-eb0594da42a3 · outbound

This paper cites Positive formula for the product of conjugacy classes on the unitary group.

Enumeration of crossings in two-step puzzles Positive formula for the product of conjugacy classes on the unitary group

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T21:46:52.472855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.392818Z digest=sha256:b4730a16b1ef1de4b016a8be360a0d923b449fe9de6f62391c5a7f5ea64e53f6

Observation d25581e7-a54d-4b82-ba7d-114427d175bf · outbound

This paper cites Binomial determinants, paths, and hook length formulae.

Enumeration of crossings in two-step puzzles Binomial determinants, paths, and hook length formulae

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.584781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.398538Z digest=sha256:016eef7f4a9b4a20e32cfebf617d29578aef269ccd84926c3add97941f5dd2a3

Observation 412ae03b-fdcb-4b09-a4a0-ab119e3226fb · outbound

This paper cites A conjectural rule for GLn Schubert calculus.

Enumeration of crossings in two-step puzzles A conjectural rule for GLn Schubert calculus

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.563310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.403788Z digest=sha256:45b49b2a599a99a56c1ab6d23774066cef9b3a85bb159ee865da71e39ee95832

Observation e94db3dc-5129-4515-b354-cf7849020938 · outbound

This paper cites The honeycomb model of GL n(C) tensor products. I: Proof of the saturation conjecture.

Enumeration of crossings in two-step puzzles The honeycomb model of GL n(C) tensor products. I: Proof of the saturation conjecture

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.534987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.409089Z digest=sha256:b7553ee74bc27e134c0c63569e6ad58f29433699b956cb2449a9d7edc35310b4

Observation 54875522-d694-481e-af87-6c6ad42d993b · outbound

This paper cites The honeycomb model of GL n(C) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone.

Enumeration of crossings in two-step puzzles The honeycomb model of GL n(C) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.514880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.415206Z digest=sha256:e2057af50cbc469b0f0cfbef2c74ac1fb71fe7d9b07998c1b72558c6b3e3a23f

Observation 72bcc7f0-d64d-435e-929b-cdc1c628a6d5 · outbound

This paper cites On the vector representations of induced matroids.

Enumeration of crossings in two-step puzzles On the vector representations of induced matroids

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:46:52.492868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-12T21:46:52.420755Z digest=sha256:e91025a2b229cb9e9132a4d61ed7a0f7ab9634452d0e1255647e01289b1e104e

Pith citing papers

No inbound Pith citation observations are available.