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Paper Citation Record · LEDGER

Hindman and Owings-like theorems without the Axiom of Choice

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:73d59f754825516889730918c529977ea6ef5f7cdfd824fde5f4d69aed114ae8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:ec89fb9c4b15f92898f1e2f5d59c3ca24e14c3e36df8b9d257f2dc850dfe32c7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:fde99b9bfdb6b8484a03ec02aec08217edd2dbf38a0fbe121335f2c4eb525bce

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:68d07ee5924a98b4bf51f47352d0e00f2aff9abffb756d3748788df1f518ea68

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:71f3a5cba4984c280dfcd16030d110a98c26a8503dcdc496758b370800fe49ba

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:e9a93da7417e4b530884021923f6173475652b9c564e856a45b54d88a086e4fd

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:81df62da5d061235b9fbc88af2994d7456908f2dcefc8fefcf5ed4fe604c2453

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:47f61b61c71bf8af06ab87c7125932a48f17269fe9114e4caf302b7f07c18e0b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:9ab8167cbb39e7478ad2051c25a409e49e440ae27c760836d51436482c6b2056

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:09934622c56e2e882deea7cc8ff7ab6268960aa64d65b51e21e3f9f9e169de3b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:b8c351a9af419a2f45c4d73c159fc172e812444b7e8deea43ac27ae93332dc10

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:d80acf0df214bf7451ab8f1c8f8e2783d0a114e897b895b9b9a0e95dff4369f6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:e6f08991bc28a4e8fdfc3956f470b8c024255ad0018cd2864bc3228dfd6b19d7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:a52958a20733864397b5ec037f33f662d220c7b1c8d47bc45099412659531d3a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:87870def8f15a132f407ef0847a36ac6630bc1881baacd8190008a6d028c639e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:f989aa4a5d259fb6862dbb1b2daf34bec3bd5a7e240420064da35a9d2f9ab658

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:807465ec7f45388364ec3f1aa872985b10d5568cedad670d6e7efd220c8a55a3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:95161a909cc4b5938a9a1d2787de5b2fb247269e01b4a14bdc4842c3eed7ae29

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:58a108ad0090cbc9a4e886ccf88f533c3a46ee0a0eeeac79bad0226ffdaaa740

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:fc83ee03226d6cd717f12765b19d9400b4a076892daeb607bb4ff2cfa68abd8e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:c9d6bc70e789c70b6f2de13885d08e426c44e32af42aa00d11f5bdf9db5e8a9a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:b7449dee43bc9cf93a3ffe9aa6abcee0e3a0e87e28b20a63f9d8f67f7beca274

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:b2cb2325544ccb4edbd38ccf9dfdda48f4d68c54699b992981787f06c69ce2e9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-22T11:00:11.287567Z digest=sha256:95a892724d33fb41a5d05cea0d61aa991d265a70b811213017dcf981edf1a48b

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.

source=pdf_text observed=2026-08-01T18:39:47.316924Z digest=sha256:7a1927127eeb605d2ec569a6127aa6e479a54a470e3160b054afd5dfb7975cfb