Paper Citation Record · LEDGER

Lattice paths and the Geode

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2507.09405.

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

pith.paper-citation-record.v1
2507.09405 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:14:14.177649Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:54:52.131415Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:54:52.242534Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy7
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11d3a32e-446d-41bc-bf48-f08909c9cf83 · outbound

This paper cites Proofs Of Three Geode Conjectures.

Lattice paths and the Geode Proofs Of Three Geode Conjectures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T18:14:13.380343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 665008aa-b52b-45f5-8948-9f49da7a2c32 · outbound

This paper cites 3, 386–428.

Lattice paths and the Geode 3, 386–428

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:16.175140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4e767ad4-6749-4e59-a53f-d0087b1c647e · outbound

This paper cites an unresolved cited work.

Lattice paths and the Geode Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:14:15.918144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45c3a36a-30fa-44c1-84ac-e58782b460ec · outbound

This paper cites Leibniz Int.

Lattice paths and the Geode Leibniz Int

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:15.720666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ce5e33bc-c2ae-4da9-bb17-3b27e15fe4ed · outbound

This paper cites an unresolved cited work.

Lattice paths and the Geode Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:14:15.461761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a6516511-42f5-4ae9-be61-6ab15773b5bb · outbound

This paper cites Gessel, A factorization for formal Laurent series and lattice path enumeration , J.

Lattice paths and the Geode Gessel, A factorization for formal Laurent series and lattice path enumeration , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:15.300580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fa57c8f6-99ef-42dc-8898-81ff473f2cd5 · outbound

This paper cites Gessel and Ji Li, Compositions and Fibonacci identities , J.

Lattice paths and the Geode Gessel and Ji Li, Compositions and Fibonacci identities , J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:15.138431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 66a7a9a1-1732-4de8-8e17-ceb09e569868 · outbound

This paper cites 82 (1990), no.

Lattice paths and the Geode 82 (1990), no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:14.981950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9a4573d0-4c91-492a-bcd4-ace27122f871 · outbound

This paper cites Thesis, Brandeis Uni- versity, 2017.

Lattice paths and the Geode Thesis, Brandeis Uni- versity, 2017

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:14.806582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fab7d25e-2c7d-4db5-b0c4-db6d777d158f · outbound

This paper cites an unresolved cited work.

Lattice paths and the Geode Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:14:14.651437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0f66b5d6-eaed-4a82-8425-78d44a8c6fa4 · outbound

This paper cites Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger.

Lattice paths and the Geode Hyper-Catalan and Geode Recurrences and Three Conjectures of Wildberger

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T18:14:13.989465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3885812-a4e5-48b1-96b1-788640cb6f10 · outbound

This paper cites an unresolved cited work.

Lattice paths and the Geode Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:14:14.546973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d847f2ee-31dd-4534-b0b3-59654ee8f63d · outbound

This paper cites Stanley, Catalan Numbers, Cambridge University Press, New York, 2015.

Lattice paths and the Geode Stanley, Catalan Numbers, Cambridge University Press, New York, 2015

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:14:14.417588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f2ee0234-3e6b-4a15-8cb5-046420384a85 · outbound

This paper cites an unresolved cited work.

Lattice paths and the Geode Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:14:14.320809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 77af3b06-33a1-4002-b8fa-02ef93122c04 · inbound

Ordered trees and the Geode cites this paper.

Ordered trees and the Geode Lattice paths and the Geode

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:54:52.247264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.