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Paper Citation Record · LEDGER

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2608.13213.

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

pith.paper-citation-record.v1
2608.13213 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:34:03.547066Z

measured 11 of 11 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 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

11 of 11 outbound references displayed

  • verified exact5
  • verified fuzzy3
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64e22186-0af6-4e9f-aef4-b1209c11dfbc · outbound

This paper cites Bartoszyński and H.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Bartoszyński and H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:34:03.836892Z

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=2026-08-15T14:34:03.478374Z digest=sha256:ad41f8d6e37132b9d94d6031651543875b8e1635c80eba4084edd5e83d45b10d

Observation 1424cba1-e81b-466b-8df5-aae23c6b645c · outbound

This paper cites an unresolved cited work.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-15T14:34:03.691781Z

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=2026-08-15T14:34:03.488692Z digest=sha256:3fda3c5821a4ec82a67a3d540dd54a28abe183abd271b16b651f5d34fb58d900

Observation 5b25fe0f-bb7b-4c59-bc5b-a171fbe77f29 · outbound

This paper cites an unresolved cited work.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:34:03.816313Z

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=2026-08-15T14:34:03.495240Z digest=sha256:cf9e38674be6cbbfceef9bbb3bf8b1267937bb02da4191e6dbe942fc0b9bda06

Observation 189541e6-dc82-4024-950c-758899b802a4 · outbound

This paper cites Erdős and A.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Erdős and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:34:03.797096Z

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=2026-08-15T14:34:03.503139Z digest=sha256:fecc19d9040aa5b28df33e754de1aca99a0c15b5ad3a99c95dcc03a2121501df

Observation 10f522ad-8322-4320-a52b-f0c908d7d103 · outbound

This paper cites Erdős and A.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Erdős and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:34:03.777612Z

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=2026-08-15T14:34:03.508508Z digest=sha256:370a183619c90521e0ed3c59c8f4f30020c0880383fa6d263ced32b89b4c2a6b

Observation f4b5b156-3491-4d51-92c3-af241c14facf · outbound

This paper cites an unresolved cited work.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:34:03.756373Z

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=2026-08-15T14:34:03.516623Z digest=sha256:b6b2733503ef85773c9461db02ec62d3c1509eac272f866719455bb97ff99fb8

Observation 7f45c8eb-c235-4aeb-a455-7a2bc654c0f6 · outbound

This paper cites Fischer, M.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Fischer, M

Reference 7

Resolution
verified exact
doi, observed 2026-08-15T14:34:03.672495Z

Source-reported events for the cited work

correction dated 2023-04-03. Source: crossref record 10.1007/s00153-023-00870-w->10.1007/s00153-023-00861-x:correction, observed 2026-07-11T03:04:47.469076+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-15T14:34:03.526312Z digest=sha256:487896de3d3841fd2a8f17c3b3f8f06bd75cb5690ccf0b4252fab1ffeecc6c32

Observation d2ca3215-2a12-4610-a080-361e2eddec23 · outbound

This paper cites Hajnal, A negative partition relation,Proc.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Hajnal, A negative partition relation,Proc

Reference 8

Resolution
verified exact
doi, observed 2026-08-15T14:34:03.651311Z

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=2026-08-15T14:34:03.531709Z digest=sha256:8f1090adb712c5ac6619fb14f63d9e5add218051184139ddc1151662faf05456

Observation a3952ce6-67a8-469a-8a20-a8cd57653c81 · outbound

This paper cites Komjáth, The Erdős–Hajnal problem list,Bull.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Komjáth, The Erdős–Hajnal problem list,Bull

Reference 9

Resolution
verified exact
doi, observed 2026-08-15T14:34:03.633706Z

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=2026-08-15T14:34:03.536909Z digest=sha256:9c96ac7360745eb2c6ac5b1b1f6a809ff799db776156994a6b2862607796daf9

Observation 8825130c-ffe0-44f4-a0a0-77012c78c0a0 · outbound

This paper cites an unresolved cited work.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-15T14:34:03.611182Z

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=2026-08-15T14:34:03.541725Z digest=sha256:4f48b67ea1372c6f8604b072d9b258f4d521343e9151bd7d897cf9579b66842b

Observation 3aef179e-1753-43d4-9e4e-d4960ad88dbb · outbound

This paper cites an unresolved cited work.

Martin's axiom and $\omega_1^2 \longrightarrow (\omega_1^2, 3)^2$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:34:03.728039Z

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=2026-08-15T14:34:03.547066Z digest=sha256:9f1e79f244c16ff398cdfd8b424218215ceeb703359cd85287dedbeb89e5d1d7

Pith citing papers

No inbound Pith citation observations are available.