Paper Citation Record · LEDGER

Variable-length Gray codes for the Natural Numbers

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.16088.

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

pith.paper-citation-record.v1
2607.16088 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:26:22.970476Z

measured 19 of 19 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

19 of 19 outbound references displayed

verified exact0
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf4b7c45-c84d-4389-b0d4-1e181552d586 · outbound

This paper cites Pulse code communication,.

Variable-length Gray codes for the Natural Numbers Pulse code communication,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.333654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a87e8ce-2374-44da-9f6e-22d9c2d759fa · outbound

This paper cites Gray codes and paths on then-cube,.

Variable-length Gray codes for the Natural Numbers Gray codes and paths on then-cube,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.414615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 883bdfd9-47cf-43aa-827a-8a87c2a76c5c · outbound

This paper cites The Gray code,.

Variable-length Gray codes for the Natural Numbers The Gray code,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.498625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1dbe2e2-6af6-42f0-acbe-b2969bf4894e · outbound

This paper cites Representing numbers in NLP: a survey and a vision,.

Variable-length Gray codes for the Natural Numbers Representing numbers in NLP: a survey and a vision,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.606849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39a612f1-46d4-4f19-be97-029aa3b71e46 · outbound

This paper cites Numeracy for language models: Evaluating and improving their ability to predict numbers,.

Variable-length Gray codes for the Natural Numbers Numeracy for language models: Evaluating and improving their ability to predict numbers,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.707685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42e7eeb6-4f5c-4896-bd6e-c67c530b70b1 · outbound

This paper cites Investigating the Limitations of Transformers with Simple Arithmetic Tasks.

Variable-length Gray codes for the Natural Numbers Investigating the Limitations of Transformers with Simple Arithmetic Tasks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.803491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5544da8-4691-4f60-8176-95442b2d93f8 · outbound

This paper cites Do NLP models know numbers? Probing numeracy in embeddings,.

Variable-length Gray codes for the Natural Numbers Do NLP models know numbers? Probing numeracy in embeddings,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.893470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a45c1808-d67d-48b1-9336-18b6c48798df · outbound

This paper cites Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs.

Variable-length Gray codes for the Natural Numbers Tokenization counts: the impact of tokenization on arithmetic in frontier LLMs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:21.986538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 822179ee-f394-443c-a906-11fc2366456b · outbound

This paper cites Binary codes capable of correcting deletions, insertions, and reversals,.

Variable-length Gray codes for the Natural Numbers Binary codes capable of correcting deletions, insertions, and reversals,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.083998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8060c524-9e77-4f61-bb03-6c9b4ad59984 · outbound

This paper cites A survey of combinatorial Gray codes,.

Variable-length Gray codes for the Natural Numbers A survey of combinatorial Gray codes,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.171854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46e5e18b-58e2-4186-8eb4-3129ec733154 · outbound

This paper cites an unresolved cited work.

Variable-length Gray codes for the Natural Numbers Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.266754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cbd176b-4128-4cac-be50-7a148ca75a96 · outbound

This paper cites Error detecting and error correcting codes,.

Variable-length Gray codes for the Natural Numbers Error detecting and error correcting codes,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.353719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7aabb173-e8cb-4b13-afbb-1c2bde20f095 · outbound

This paper cites Universal codeword sets and representations of the integers,.

Variable-length Gray codes for the Natural Numbers Universal codeword sets and representations of the integers,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.446121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 784bcaf6-60a2-4de1-a647-c1d0023bfea9 · outbound

This paper cites Run-length encodings,.

Variable-length Gray codes for the Natural Numbers Run-length encodings,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.538057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bca524c-fab6-45b1-b651-ecc6b471a219 · outbound

This paper cites Robust transmission of unbounded strings using Fibonacci representations,.

Variable-length Gray codes for the Natural Numbers Robust transmission of unbounded strings using Fibonacci representations,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.624599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6448af7-7794-46fb-9744-57a16ea526f0 · outbound

This paper cites Robust universal complete codes for transmission and compression,.

Variable-length Gray codes for the Natural Numbers Robust universal complete codes for transmission and compression,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.710119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33d37560-2476-414c-bddd-da17e3a1f207 · outbound

This paper cites Salomaa,Jewels of Formal Language Theory.

Variable-length Gray codes for the Natural Numbers Salomaa,Jewels of Formal Language Theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.796071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 453b9e03-24e3-434b-9c00-88a32674c452 · outbound

This paper cites an unresolved cited work.

Variable-length Gray codes for the Natural Numbers Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.864082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90caf94f-76a5-4455-b62e-61719ed87fca · outbound

This paper cites Neural machine translation of rare words with subword units,.

Variable-length Gray codes for the Natural Numbers Neural machine translation of rare words with subword units,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:26:22.970476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.