Paper Citation Record · LEDGER

Nim on Integer Partitions and Hyperrectangles

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.04991.

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

pith.paper-citation-record.v1
2506.04991 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:43:03.566916Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

25 of 25 outbound references displayed

verified exact7
verified fuzzy7
unresolved10
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0f2eb6d-4f21-4d65-8ac0-4d1036e5fb5b · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:43:03.838542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a7550a70-bc08-4094-9a9f-bbe18e9e9316 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:04.003936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 07bdbfdb-66fd-47dc-ba25-79cfcc5263ed · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.993660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3705169e-5345-4b40-b47a-9923bd6b41b6 · outbound

This paper cites Sato, On maya game (notes by h.

Nim on Integer Partitions and Hyperrectangles Sato, On maya game (notes by h

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.983928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 720686c9-6df9-4bfe-9e67-a5a92e376cec · outbound

This paper cites Irie, p-saturations of welter’s game and the irreducible representations of symmetric groups, Journal of Algebraic Combinatorics 48 (2018) 247–287.

Nim on Integer Partitions and Hyperrectangles Irie, p-saturations of welter’s game and the irreducible representations of symmetric groups, Journal of Algebraic Combinatorics 48 (2018) 247–287

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.974550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 49b59b11-4b07-44ce-9975-1b695b31295b · outbound

This paper cites Abuku, M.

Nim on Integer Partitions and Hyperrectangles Abuku, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.964535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c59b793c-c96b-4190-87cd-134c3cb3860b · outbound

This paper cites Game positions of Multiple Hook Removing Game.

Nim on Integer Partitions and Hyperrectangles Game positions of Multiple Hook Removing Game

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:43:03.769939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6665180d-6d28-4d26-9599-0d962f905275 · outbound

This paper cites Gottlieb, M.

Nim on Integer Partitions and Hyperrectangles Gottlieb, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.954864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d35b4398-0706-4150-a075-741559e8641b · outbound

This paper cites Gottlieb, J.

Nim on Integer Partitions and Hyperrectangles Gottlieb, J

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T10:43:03.623791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87e0824c-8f07-498e-9a4b-4b61938a43fd · outbound

This paper cites Bašić, E.

Nim on Integer Partitions and Hyperrectangles Bašić, E

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T10:43:03.611706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09a28492-7469-47e7-ba5b-54091a5042dc · outbound

This paper cites Bašić, Column-Row game, Master’s thesis (2023).

Nim on Integer Partitions and Hyperrectangles Bašić, Column-Row game, Master’s thesis (2023)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.944693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a221d9d2-9158-4bb4-8293-d7492bb17016 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.934405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b4838981-7b0a-49d6-b749-8bec9d202d79 · outbound

This paper cites Impartial Chess on Integer Partitions.

Nim on Integer Partitions and Hyperrectangles Impartial Chess on Integer Partitions

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:43:03.755494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d4e94a8b-7c89-4848-ad24-5d99620d3519 · outbound

This paper cites Meit, Two partizan games on integer partition, Master’s thesis, Rhodes College (2025).

Nim on Integer Partitions and Hyperrectangles Meit, Two partizan games on integer partition, Master’s thesis, Rhodes College (2025)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.925078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 12fb90b4-004d-4729-bd7a-d833705b03fc · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.915542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0146e56-e41e-4fdb-b4cd-d9b480030063 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.905516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ea79335-982e-460a-be67-fe6992414427 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T10:43:03.539017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25025e31-0667-4285-a6b7-72a40207936f · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.895513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ebafe2fb-6bd8-414b-a35c-cf06d9ca0c49 · outbound

This paper cites Berlekamp, J.

Nim on Integer Partitions and Hyperrectangles Berlekamp, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:43:03.884919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ddaad5a2-4340-4aa6-a337-df4732def2d6 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:43:03.741737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ddb286e3-b040-410e-8a09-c5a5061430cb · outbound

This paper cites The number of nonzero binomial coefficients modulo p^alpha.

Nim on Integer Partitions and Hyperrectangles The number of nonzero binomial coefficients modulo p^alpha

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:43:03.638695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7461ece2-f99b-4eb9-8472-24a09d5d07d9 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 22

Resolution: malformed identifier; no resolver link, observed 2026-08-07T10:43:03.556597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7a67877-4f52-48c9-8d0b-3187aba38d1d · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.872787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 675cb3dd-9c3e-4388-9d3f-21ba83a9fec1 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.861707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c2a639de-9022-4215-8ffe-0c9b7b6de0b9 · outbound

This paper cites an unresolved cited work.

Nim on Integer Partitions and Hyperrectangles Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:43:03.850873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.