Paper Citation Record · LEDGER

Small gaps in the Ulam sequence

As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2501.16285.

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

pith.paper-citation-record.v1
2501.16285 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:41:58.773099Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

26 of 26 outbound references displayed

verified exact3
verified fuzzy20
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdbe6f02-e126-459a-829e-8652d82e13c3 · outbound

This paper cites Distributions of Ulam Words up to Length 30.

Small gaps in the Ulam sequence Distributions of Ulam Words up to Length 30

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:41:58.853374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 28146e26-ccf4-43a5-b437-2ac2577f107d · outbound

This paper cites A hidden signal in Hofstadter's $H$ sequence.

Small gaps in the Ulam sequence A hidden signal in Hofstadter's $H$ sequence

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:41:58.834653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 48605163-c622-4439-8d68-5ad2abd28510 · outbound

This paper cites Bade, K., Cui, A.

Small gaps in the Ulam sequence Bade, K., Cui, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.169957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4f0457df-f61d-4bbf-a62e-9058b8440f3f · outbound

This paper cites Blondel, John N.

Small gaps in the Ulam sequence Blondel, John N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.156011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5744ee03-0857-4cdc-8463-8750cc3c7250 · outbound

This paper cites Cassaigne and S.

Small gaps in the Ulam sequence Cassaigne and S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.142610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 582518eb-a64c-438f-ab49-80fc13468221 · outbound

This paper cites Finch, Conjectures about s-additive sequences.

Small gaps in the Ulam sequence Finch, Conjectures about s-additive sequences

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.128723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fca597f2-2f6e-49b9-86cf-d7b38d8be698 · outbound

This paper cites Finch, Patterns in 1-additive sequences.

Small gaps in the Ulam sequence Finch, Patterns in 1-additive sequences

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.115262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8258c97f-43bf-4bc9-b3b1-a5056fe74e0e · outbound

This paper cites Finch, On the regularity of certain 1-additive sequen ces.

Small gaps in the Ulam sequence Finch, On the regularity of certain 1-additive sequen ces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.101603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7e2cfc4f-52ad-475f-b3ea-37ebc5725ed5 · outbound

This paper cites Finch, Are 0-Additive Sequences Always Regular? The A merican Mathematical Monthly, vol.

Small gaps in the Ulam sequence Finch, Are 0-Additive Sequences Always Regular? The A merican Mathematical Monthly, vol

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.088465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 278a228f-76f0-44c5-8438-19e151f35a59 · outbound

This paper cites Gelfand, Normierte ringe, Rech.

Small gaps in the Ulam sequence Gelfand, Normierte ringe, Rech

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.074464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 731805de-51af-444e-8ca6-21f19ed200ff · outbound

This paper cites Hinman, B.

Small gaps in the Ulam sequence Hinman, B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.061744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ed72487d-f60b-468d-9cc6-9062c62aa118 · outbound

This paper cites Hinman, B.

Small gaps in the Ulam sequence Hinman, B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.047484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b149303-4ff7-4e67-8436-1026ed273d46 · outbound

This paper cites Kravitz and S.

Small gaps in the Ulam sequence Kravitz and S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.033853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f91af1b-3c44-4d05-a72d-e94cdea32efa · outbound

This paper cites Kuca, Structures in additive sequences, Acta Arith.

Small gaps in the Ulam sequence Kuca, Structures in additive sequences, Acta Arith

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:59.020471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c53652fa-03bc-4741-adcc-a620ebcf7c29 · outbound

This paper cites On fractal patterns in Ulam words.

Small gaps in the Ulam sequence On fractal patterns in Ulam words

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:41:58.814627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f04aaaab-b5eb-490c-b86e-50b0ca7e6007 · outbound

This paper cites an unresolved cited work.

Small gaps in the Ulam sequence Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:41:59.006349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bd1eb8f4-a8d0-474d-b89f-bf2597aef9a6 · outbound

This paper cites Queneau, Sur les suites s-additives.

Small gaps in the Ulam sequence Queneau, Sur les suites s-additives

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.991687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eafaabe4-7da8-4345-aa08-8ff20ffe783f · outbound

This paper cites Queneau, Sur les suites s-additives, J.

Small gaps in the Ulam sequence Queneau, Sur les suites s-additives, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.978545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a99bba9-6058-4ae6-bd24-0c70a6d0c883 · outbound

This paper cites Recaman, Research Problems: Questions on a Sequence of Ulam.

Small gaps in the Ulam sequence Recaman, Research Problems: Questions on a Sequence of Ulam

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.965139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c6a133d9-73f5-416d-947a-59a5af47080f · outbound

This paper cites an unresolved cited work.

Small gaps in the Ulam sequence Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:41:58.951090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a777e980-d1f3-483d-b81e-99415e768a78 · outbound

This paper cites Schmerl and E.

Small gaps in the Ulam sequence Schmerl and E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.936763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5158ed2d-3b55-4a2b-8096-d74f26a0fbf1 · outbound

This paper cites Sheydvasser, The Ulam Sequence of Linear Integer Pol ynomials.

Small gaps in the Ulam sequence Sheydvasser, The Ulam Sequence of Linear Integer Pol ynomials

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.921790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d7871b8-c5d7-40b8-a143-ed0bfe5490ba · outbound

This paper cites Steinerberger, A hidden signal in the Ulam sequence.

Small gaps in the Ulam sequence Steinerberger, A hidden signal in the Ulam sequence

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.907935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e3aceed5-70af-4d97-9ef9-ea07487d611a · outbound

This paper cites Ulam, Ulam, On some mathematical problems connected with patterns of growth of ﬁgures.

Small gaps in the Ulam sequence Ulam, Ulam, On some mathematical problems connected with patterns of growth of ﬁgures

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.893400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73054107-b4f4-44c7-87be-90ef5fd16b77 · outbound

This paper cites Ulam, Combinatorial analysis in inﬁnite sets and som e physical theories.

Small gaps in the Ulam sequence Ulam, Combinatorial analysis in inﬁnite sets and som e physical theories

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:41:58.879787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d1c7d4a5-ace5-49c6-9e09-7d087effc465 · outbound

This paper cites an unresolved cited work.

Small gaps in the Ulam sequence Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:41:58.866935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.