Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:59:25.596704Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 2 inbound Pith citation observations for arXiv:2412.14917.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:59:25.596704Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:31:37.517035Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-09T19:35:34.867370Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 95c2de8c-1f08-4e2e-a949-397e01c1a640 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8810473d-e64d-41d4-9eb8-644e823168cd · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 155dc78a-8cd3-4539-a49c-032de16553a7 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7faa9ef7-040d-4f48-963f-4974a5659893 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4e51beae-2576-4c88-9799-dfe394af1a6f · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8140ff86-bb85-4f55-a2e3-125d5f5ae611 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bergelson
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e6f68caf-5f50-45d3-96ff-38eea206877d · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bergelson and D
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8fc3882f-8d98-4289-ab21-e06355e8f937 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bergelson and I
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0be8978c-5b2a-408b-8b53-4471b8ad24be · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bergelson and A
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 67f1c4a0-74bb-4f9a-b1de-07ba6ed87541 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bergelson and R
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c7248fb5-042b-43a4-b99a-084e322fb859 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Monochromatic products and sums in $2$-colorings of $\mathbb{N}$
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e653597e-32b2-4239-98eb-998a4622643d · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Bowen and M
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7839a92e-f5c6-41be-96ac-9b40923ad56d · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bc983b3a-db2c-4920-b162-85fae88b3ac0 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Extensibility and denseness of periodic semigroup actions
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1053a57b-e29b-47c0-b4ad-bfaaf367618d · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Natural extensions of embeddable semigroup actions
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ee81259-a0fa-4657-912c-bd38c550c849 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Byszewski and E
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation da2832a6-4c8a-4f6a-9acc-8c3b8182d660 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Cecchi and M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7b453fbe-100c-46d3-846a-598f5ac3f5a7 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7eb4ec53-c368-4eec-88d8-06b73691dc2a · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dcdf7e55-10f7-412d-af22-3f1103532bdb · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a5df2094-91f3-4335-b1b8-40a8bf210a7c · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 15428c77-63df-4a66-955d-353983e6e66c · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 755234d1-6194-4a50-a58a-9c75ffeeb4ab · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Di Nasso and L
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fa717500-bdf6-4af7-8686-b31cd4cb0696 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 267e61a7-a709-4f31-9eb2-593b083d5d5c · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Downarowicz, D
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ebf0248b-112d-48a6-9995-c891e110299e · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5c447150-3f8f-47ed-baf5-a31ad667250b · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Eisentr¨ ager and A
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bfbe41f9-1e11-46fd-a05a-6f3b92715d7b · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Erd˝ os and R
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 18b0f285-b84a-4e24-9edf-a344f617148f · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Farhangi and R
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d286b3e9-a335-4aa7-a624-de2ce0ad62e7 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Asymptotic dynamics on amenable groups and van der Corput sets
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5233b7ab-6a0f-40f2-bed7-95f9c7e2bad9 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem An inverse of Furstenberg's correspondence principle and applications to nice recurrence
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e2188734-dd41-420c-9b7f-781768adc2d2 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3e1e282a-3138-4e7f-b63b-412b29fffe01 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Partition regularity of Pythagorean pairs
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08012c0f-a3dd-4389-afa6-a905d5db3f4e · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Partition regularity of generalized Pythagorean pairs
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8236c6a8-ee07-4f1f-8258-83b0bd9d41e2 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Joint ergodicity for commuting transformations and applications to polynomial sequences
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3a41a871-2545-4ba8-b56f-0c9c101b0826 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Frantzikinakis, E
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1e740b28-4729-4b9a-971c-ade062b89901 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Furstenberg
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a0cab07e-a647-4ccf-b67c-f5a67dd07dfe · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 032aff11-4ad9-4b3d-a0cc-7d45896456a1 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f122dd39-559f-4592-a616-8db35cc53c52 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Greschonig and K
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8ac80b5e-d86b-47a4-8f4d-0a290f6cb6f7 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5200cd96-c7a0-4139-9116-73d13b08712b · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Hindman and D
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 95c6fa0b-598e-482d-9e2e-876af0139e76 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Hindman and D
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 10883725-e925-4159-bd4f-1c916536fa45 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Revisiting the nilpotent polynomial Hales-Jewett theorem
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 29078ba2-28c8-429b-a9f9-bd436e1e209f · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d92cfb51-ce95-40e2-9f2c-e504975b94db · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Lindenstrauss
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8e99f022-1044-42ef-884f-ad4aa6c00ea0 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b7fb1636-85da-48ce-9566-8a2e98e454cc · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ddc3252c-ca5c-4a4a-97af-4ad84a64ac2e · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3f70999e-875f-40a4-9ca8-b200067e16e9 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ba22187c-e000-4eca-99b5-ecdae32a2edc · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Prendiville
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b8bfeb44-a679-4235-ab5b-32c6eb582360 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 81f04570-abb2-49c7-80c0-b4e31a6e3fd5 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem An inverse of Furstenberg's correspondence principle and applications to van der Corput sets
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b9d0bd6-8a50-4fc7-a63c-9de55bc68c30 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 382c0d2a-0045-46d2-a9b1-e509eb7e8b73 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 82de4f44-e881-406a-a6e9-c778b1155884 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a64ec962-c830-46d4-9233-e017c8f2adef · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Shlapentokh
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6ec19c06-1137-4b5a-aa4f-2b4c00958534 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Szemer´ edi
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4f8fe1b6-f957-4215-b23d-986e364efbde · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Szemer´ edi
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f6a0b4f9-6ed4-4b1c-a61d-8ab941a537c8 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d3776fb1-3f63-45e1-acf1-6edcba9b98cd · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem van der Waerden
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ece06587-31bd-47cf-83f6-2161b35ab372 · outbound
Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1de3d350-e497-4bc4-82fb-033849670228 · inbound
Natural extensions of embeddable semigroup actions Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23809884-ffd3-4b07-81dd-257eaa966fe5 · inbound
Extensibility and denseness of periodic semigroup actions Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.