Paper Citation Record · LEDGER

Open Colorings and Baumgartner's Axiom

As of 18 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2601.01166.

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

pith.paper-citation-record.v1
2601.01166 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:04:38.291729Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

25 of 25 outbound references displayed

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Outbound references

Observation c853f94e-9c3d-43db-bdcd-34dd96ee46b6 · outbound

This paper cites On the consistency of some partition theorems for continuous colorings, and the structure ofℵ 1-dense real order types.

Open Colorings and Baumgartner's Axiom On the consistency of some partition theorems for continuous colorings, and the structure ofℵ 1-dense real order types

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:35.311270Z

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Observation 84717738-2a1b-4504-8100-a61bbd0f52c6 · outbound

This paper cites Martin’s axiom does not im- ply that every twoℵ1-dense sets of reals are isomorphic.

Open Colorings and Baumgartner's Axiom Martin’s axiom does not im- ply that every twoℵ1-dense sets of reals are isomorphic

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:35.392007Z

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Observation 1f76d39a-80e1-4ad1-a806-b9fa294a27d0 · outbound

This paper cites Allℵ 1-dense sets of reals can be isomor- phic.

Open Colorings and Baumgartner's Axiom Allℵ 1-dense sets of reals can be isomor- phic

Reference 3

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Observation c3785d87-e7e1-4cff-af21-fea6905ffb59 · outbound

This paper cites Applications of the proper forcing ax- iom.

Open Colorings and Baumgartner's Axiom Applications of the proper forcing ax- iom

Reference 4

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Observation 48f91d58-63da-42d0-8be9-beee7bbb65a6 · outbound

This paper cites Narrow Boolean algebras.

Open Colorings and Baumgartner's Axiom Narrow Boolean algebras

Reference 5

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Observation 75a5ab07-3ea8-4678-9fa5-407413222f9c · outbound

This paper cites Uniform Roe coronas.

Open Colorings and Baumgartner's Axiom Uniform Roe coronas

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:35.785292Z

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Observation c4ca605d-f64e-4572-83aa-cbe1d8eb85eb · outbound

This paper cites Some questions on entangled linear orders.

Open Colorings and Baumgartner's Axiom Some questions on entangled linear orders

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:35.941837Z

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Observation a6347e45-9b7d-4da0-b137-6eb9e794e948 · outbound

This paper cites There may be an $n$-entangled set but no $n+1$-entangled sets.

Open Colorings and Baumgartner's Axiom There may be an $n$-entangled set but no $n+1$-entangled sets

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.057551Z

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Observation 38156b22-9cd8-4f3d-b3b6-2695566aefa6 · outbound

This paper cites Why Y-c.c.

Open Colorings and Baumgartner's Axiom Why Y-c.c

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.209596Z

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Observation 12206394-a165-4afb-8d5e-505d4ddb96a6 · outbound

This paper cites OCA and towers inP(N)/fin.

Open Colorings and Baumgartner's Axiom OCA and towers inP(N)/fin

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.371386Z

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Observation 077a4fdc-536c-4787-a822-2e0d8318425b · outbound

This paper cites All automorphisms of the Calkin algebra are inner.

Open Colorings and Baumgartner's Axiom All automorphisms of the Calkin algebra are inner

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.523230Z

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Observation a7cc9d3a-b816-4c6a-b2f6-2887517c653b · outbound

This paper cites Almost disjoint families and the geometry of nonseparable spheres.

Open Colorings and Baumgartner's Axiom Almost disjoint families and the geometry of nonseparable spheres

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.631316Z

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Observation 75331980-0347-4088-a4f0-69d1366f3494 · outbound

This paper cites TheP-ideal dichotomy, Martin’s axiom and entangled sets.

Open Colorings and Baumgartner's Axiom TheP-ideal dichotomy, Martin’s axiom and entangled sets

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:36.777568Z

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Observation 0b5e6d39-a00d-4b7c-a239-e5570aa83240 · outbound

This paper cites The Third Millennium Edition.

Open Colorings and Baumgartner's Axiom The Third Millennium Edition

Reference 14

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Observation fdbee633-c6bc-4b62-87fb-8825ba4af200 · outbound

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Open Colorings and Baumgartner's Axiom Unresolved cited work

Reference 15

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Observation 61002e29-dbdb-4cdf-a128-9eced89ba087 · outbound

This paper cites an unresolved cited work.

Open Colorings and Baumgartner's Axiom Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.010653Z

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Observation d832cc94-9bb6-49fc-8a1a-3e4cb1e00858 · outbound

This paper cites Forcing axioms and coronas of C∗-algebras.

Open Colorings and Baumgartner's Axiom Forcing axioms and coronas of C∗-algebras

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.180858Z

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Observation 1ec88465-0780-4a7c-9496-bd34076564ff · outbound

This paper cites A fragment of As- per´ o-Mota’s finitely proper forcing axiom and entangled sets of reals.

Open Colorings and Baumgartner's Axiom A fragment of As- per´ o-Mota’s finitely proper forcing axiom and entangled sets of reals

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.281276Z

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Observation f48a1e6a-c1c9-4b2b-9edb-799f790af96c · outbound

This paper cites Weak diamond and open colorings.

Open Colorings and Baumgartner's Axiom Weak diamond and open colorings

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.379569Z

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Observation 232748dd-10c3-4398-89f0-ee1edf28dd6c · outbound

This paper cites Some remarks on the Open Coloring Axiom.

Open Colorings and Baumgartner's Axiom Some remarks on the Open Coloring Axiom

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.558312Z

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Observation bc919fc0-b523-40a3-8690-791ac343f307 · outbound

This paper cites Remarks on chain conditions in products.

Open Colorings and Baumgartner's Axiom Remarks on chain conditions in products

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.643579Z

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Observation 225b9421-4cd2-44f6-ad82-69bcc39dd15e · outbound

This paper cites an unresolved cited work.

Open Colorings and Baumgartner's Axiom Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:37.811620Z

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Observation b4b0c6b7-5912-42c7-8964-33ba99014867 · outbound

This paper cites A proof of Nogura’s conjecture.

Open Colorings and Baumgartner's Axiom A proof of Nogura’s conjecture

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:38.021861Z

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Observation e3d211e7-7d3e-453c-94ce-be8ce33cce7c · outbound

This paper cites Applications of the open coloring axiom.

Open Colorings and Baumgartner's Axiom Applications of the open coloring axiom

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:38.146995Z

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Observation 7269791b-3045-4c3f-9de8-a51adf9f5221 · outbound

This paper cites OCAand automorphisms ofP(ω)/fin.

Open Colorings and Baumgartner's Axiom OCAand automorphisms ofP(ω)/fin

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T13:04:38.291729Z

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Pith citing papers

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