Paper Citation Record · LEDGER

Hindman and Owings-like theorems without the Axiom of Choice

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2603.27163.

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

pith.paper-citation-record.v1
2603.27163 v4

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T11:00:11.287567Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:39:47.316924Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy12
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c40eef7-9a12-4261-adff-9f89b5adbb89 · outbound

This paper cites Baumgartner,A short proof of hindman’s theorem., Journal of Combinatorial The- ory, Series A17(1974), 384–386.

Hindman and Owings-like theorems without the Axiom of Choice Baumgartner,A short proof of hindman’s theorem., Journal of Combinatorial The- ory, Series A17(1974), 384–386

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.134672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04686128-c698-43c1-b38e-054d265aa6a8 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.111538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bdd0cc8f-41a5-48b9-80ad-9dffea135bbd · outbound

This paper cites London Math.

Hindman and Owings-like theorems without the Axiom of Choice London Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.084558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1517770-2c7c-4b44-aa48-647e893704d0 · outbound

This paper cites Fern´ andez-Bret´ on,Hindman’s theorem is only a countable phenomenon, Order35 (2018), no.

Hindman and Owings-like theorems without the Axiom of Choice Fern´ andez-Bret´ on,Hindman’s theorem is only a countable phenomenon, Order35 (2018), no

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.131376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7a38291-4064-4889-861b-1ae9c2e46bbb · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.072613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3c42d0b9-aa33-4933-ad54-286357a42334 · outbound

This paper cites Fern´ andez-Bret´ on, Jos´ e Navarro-Castillo, and Juan A.

Hindman and Owings-like theorems without the Axiom of Choice Fern´ andez-Bret´ on, Jos´ e Navarro-Castillo, and Juan A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.103974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d11a1da-c89f-40ce-a4bd-bf8ee7d66f81 · outbound

This paper cites Fern´ andez-Bret´ on and Assaf Rinot,Strong failures of higher analogs of hindman’s theorem, Transactions of the American Mathematical Society369(2017), no.

Hindman and Owings-like theorems without the Axiom of Choice Fern´ andez-Bret´ on and Assaf Rinot,Strong failures of higher analogs of hindman’s theorem, Transactions of the American Mathematical Society369(2017), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.081038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f949c0c7-a49d-488c-8065-365c58283d1f · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.092722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3639ceb7-ff9c-4179-bf3f-d973cb9731a3 · outbound

This paper cites Fern´ andez-Bret´ on,Hindman’s theorem in the hierarchy of choice principles, Journal of Mathematical Logic24(2024), no.

Hindman and Owings-like theorems without the Axiom of Choice Fern´ andez-Bret´ on,Hindman’s theorem in the hierarchy of choice principles, Journal of Mathematical Logic24(2024), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.088513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6b62ae91-ccab-4886-9596-5c63cd7b4867 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.107266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7302b1b5-37ec-407a-aa75-7cabd5b31340 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.069164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3434f45-894d-4d1a-af32-c2d2ee014043 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.117789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94059333-8658-4fd1-8eb8-19236c12c75a · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.128367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 507f3299-a7b0-4d82-b1b4-6594deca5214 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.137809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 80deead3-e21e-4793-906e-9dd6c706d30a · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.121535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 15c63e40-dbde-41f4-a05b-700f6715a4c5 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.058479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f876d72-a00e-4851-b277-d7e5b6d81534 · outbound

This paper cites Russell, Saharon Shelah, D´ aniel T.

Hindman and Owings-like theorems without the Axiom of Choice Russell, Saharon Shelah, D´ aniel T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.141283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de984b98-56fc-49db-99a5-33267f7f8577 · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.114861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb2370b1-3296-4428-a579-7b94849930b8 · outbound

This paper cites Russell,Monochromatic infinite sumsets, New York Journal of Mathematics26(2020), 467–472.

Hindman and Owings-like theorems without the Axiom of Choice Russell,Monochromatic infinite sumsets, New York Journal of Mathematics26(2020), 467–472

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.062689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e0760bd6-62a3-4d2a-b75e-ecce5613cb5f · outbound

This paper cites Mathematics72(2024), 97–102.

Hindman and Owings-like theorems without the Axiom of Choice Mathematics72(2024), 97–102

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.076470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60e68689-b051-4a20-beac-90c870846687 · outbound

This paper cites Owings,Problem E2494, The American Mathematical Monthly81(1974), 902.

Hindman and Owings-like theorems without the Axiom of Choice Owings,Problem E2494, The American Mathematical Monthly81(1974), 902

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.096543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7635f7b6-2109-41b0-93f8-9413065b3d7f · outbound

This paper cites an unresolved cited work.

Hindman and Owings-like theorems without the Axiom of Choice Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-22T11:01:26.065961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d636350-007a-4843-8478-5bd437829c00 · outbound

This paper cites 2, 551–571.

Hindman and Owings-like theorems without the Axiom of Choice 2, 551–571

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.124942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b128c10-7712-434a-aab8-cd8ab5037b0d · outbound

This paper cites Zhang,Monochromatic sumset without the use of large cardinals, Fundamenta Mathemat- icae250(2020), 243–252.

Hindman and Owings-like theorems without the Axiom of Choice Zhang,Monochromatic sumset without the use of large cardinals, Fundamenta Mathemat- icae250(2020), 243–252

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T11:01:26.100295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation a2094c38-5fe7-4d16-8c1c-f32c115277c9 · inbound

An affirmative answer to Owings's sumset question cites this paper.

An affirmative answer to Owings's sumset question Hindman and Owings-like theorems without the Axiom of Choice

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T18:39:47.316924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.