Paper Citation Record · LEDGER

Oscillating subalgebras of the atomless countable Boolean algebra

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.22603.

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

pith.paper-citation-record.v1
2505.22603 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:16:15.073702Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

37 of 37 outbound references displayed

verified exact3
verified fuzzy28
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81ff997f-aae3-4dcf-b4a1-efcc213725d8 · outbound

This paper cites Type-respecting amalgamation and big R amsey degrees.

Oscillating subalgebras of the atomless countable Boolean algebra Type-respecting amalgamation and big R amsey degrees

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:21.970668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cafa9893-12d4-4212-8cf4-5203eab76bde · outbound

This paper cites Abramson and Leo A.

Oscillating subalgebras of the atomless countable Boolean algebra Abramson and Leo A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:21.737013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 177e5c2a-4e82-48f8-a7b1-a7d6002753f5 · outbound

This paper cites Ramsey theorem for trees with successor operation.

Oscillating subalgebras of the atomless countable Boolean algebra Ramsey theorem for trees with successor operation

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:16:15.988128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e3c6f9ae-0760-4886-a6fe-5c157b31d66f · outbound

This paper cites Exact big R amsey degrees for finitely constrained binary free amalgamation classes.

Oscillating subalgebras of the atomless countable Boolean algebra Exact big R amsey degrees for finitely constrained binary free amalgamation classes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:21.512424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f2df2168-78d6-477d-b639-0149ff1cb194 · outbound

This paper cites Big R amsey D egrees and I nfinite L anguages.

Oscillating subalgebras of the atomless countable Boolean algebra Big R amsey D egrees and I nfinite L anguages

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:21.309473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 301aa301-9345-40e4-8b5b-2030945e0a42 · outbound

This paper cites Big R amsey degrees of 3-uniform hypergraphs.

Oscillating subalgebras of the atomless countable Boolean algebra Big R amsey degrees of 3-uniform hypergraphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:21.114622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9d4f2233-8793-4f01-bc96-3532a1707772 · outbound

This paper cites Big R amsey degrees and forbidden cycles.

Oscillating subalgebras of the atomless countable Boolean algebra Big R amsey degrees and forbidden cycles

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:20.900146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 98e4216e-8055-4a08-b8f3-00f385e349b0 · outbound

This paper cites Big R amsey degrees in the metric setting.

Oscillating subalgebras of the atomless countable Boolean algebra Big R amsey degrees in the metric setting

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:20.717199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d9462f1-dd57-4a07-87c5-296d494eed72 · outbound

This paper cites Oscillation stability by the Carlson-Simpson theorem.

Oscillating subalgebras of the atomless countable Boolean algebra Oscillation stability by the Carlson-Simpson theorem

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:16:15.846657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4fac89d3-275b-4220-836b-b9d41dc961a6 · outbound

This paper cites Forcing-theoretic aspects of H indman's theorem.

Oscillating subalgebras of the atomless countable Boolean algebra Forcing-theoretic aspects of H indman's theorem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:20.541694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 00d8dd0f-d58f-4c14-994c-61d5c397c1ca · outbound

This paper cites an unresolved cited work.

Oscillating subalgebras of the atomless countable Boolean algebra Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:16:20.395110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c87149b2-52ea-41dc-a7ed-8e076b25c321 · outbound

This paper cites Some partition theorems and ultrafilters on.

Oscillating subalgebras of the atomless countable Boolean algebra Some partition theorems and ultrafilters on

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:20.253685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2e4a27d4-65a7-440b-bf58-6733fc43a7ee · outbound

This paper cites The R amsey theory of the universal homogeneous triangle-free graph.

Oscillating subalgebras of the atomless countable Boolean algebra The R amsey theory of the universal homogeneous triangle-free graph

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:20.098135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 06051a42-f912-43e5-b960-ce3356ee0fba · outbound

This paper cites Forcing in ramsey theory.

Oscillating subalgebras of the atomless countable Boolean algebra Forcing in ramsey theory

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:19.946723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b54aff79-4617-4873-a6a9-512663b08e14 · outbound

This paper cites The R amsey theory of H enson graphs.

Oscillating subalgebras of the atomless countable Boolean algebra The R amsey theory of H enson graphs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:19.742718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b63ff5d5-1310-44ef-8781-4fd78968f336 · outbound

This paper cites Evans, Jan Hubi c ka, and Jaroslav Ne s et r il.

Oscillating subalgebras of the atomless countable Boolean algebra Evans, Jan Hubi c ka, and Jaroslav Ne s et r il

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:19.549245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f01d7297-edb1-4885-9f53-b65f99b97fe6 · outbound

This paper cites Graham, Klaus Leeb, and Bruce L.

Oscillating subalgebras of the atomless countable Boolean algebra Graham, Klaus Leeb, and Bruce L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:19.340086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e2d01f9b-8a74-4429-96c5-2abfe8dc1c67 · outbound

This paper cites Graham and Bruce L.

Oscillating subalgebras of the atomless countable Boolean algebra Graham and Bruce L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:19.100422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 617c8aa4-174d-4509-a755-1b1899601617 · outbound

This paper cites Twenty years of N e s et r il's classification programme of R amsey classes.

Oscillating subalgebras of the atomless countable Boolean algebra Twenty years of N e s et r il's classification programme of R amsey classes

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:16:12.913668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5d79db6-e953-4367-b764-d8657c4eda9c · outbound

This paper cites Colors of the Pseudotree.

Oscillating subalgebras of the atomless countable Boolean algebra Colors of the Pseudotree

Reference 21

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T13:16:15.733628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 054010a0-0540-4140-9842-545e16d60b22 · outbound

This paper cites Counting big R amsey degrees of the homogeneous and universal k_4 -free graph.

Oscillating subalgebras of the atomless countable Boolean algebra Counting big R amsey degrees of the homogeneous and universal k_4 -free graph

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:18.930999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 371cb150-9455-4eca-822f-e0c8c48bf7fd · outbound

This paper cites Big Ramsey degrees using parameter spaces.

Oscillating subalgebras of the atomless countable Boolean algebra Big Ramsey degrees using parameter spaces

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T13:16:13.178101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44df5412-3ea0-40a0-a601-479b31e6c7c1 · outbound

This paper cites A survey on big R amsey structures.

Oscillating subalgebras of the atomless countable Boolean algebra A survey on big R amsey structures

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:16:15.449162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3a49a23c-0c92-452a-ada7-ba2c14da232e · outbound

This paper cites Handbook of B oolean algebras.

Oscillating subalgebras of the atomless countable Boolean algebra Handbook of B oolean algebras

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:18.702272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5c19a71f-5000-4f79-a54c-235e58df2311 · outbound

This paper cites Kechris, Vladimir G.

Oscillating subalgebras of the atomless countable Boolean algebra Kechris, Vladimir G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:18.495877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 14aa80da-54a6-4f3b-a1d4-ccf3c2da3431 · outbound

This paper cites The oscillation stability problem for the U rysohn sphere: A combinatorial approach.

Oscillating subalgebras of the atomless countable Boolean algebra The oscillation stability problem for the U rysohn sphere: A combinatorial approach

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:18.232773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ecc4a54e-b78f-4358-8e2c-d31248bba095 · outbound

This paper cites Sauer, and Vojkan Vuksanovic.

Oscillating subalgebras of the atomless countable Boolean algebra Sauer, and Vojkan Vuksanovic

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:18.017781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f7620f9f-5907-4a60-9478-f692b516ec04 · outbound

This paper cites Dual R amsey properties for classes of algebras.

Oscillating subalgebras of the atomless countable Boolean algebra Dual R amsey properties for classes of algebras

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:17.802011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 898ff5ad-3f7d-405c-b3fb-de63a99a07ce · outbound

This paper cites Metric spaces are R amsey.

Oscillating subalgebras of the atomless countable Boolean algebra Metric spaces are R amsey

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:17.591319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 091d90cc-1f75-4c4f-b3ff-4c79f67bde59 · outbound

This paper cites A structural generalization of the R amsey theorem.

Oscillating subalgebras of the atomless countable Boolean algebra A structural generalization of the R amsey theorem

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:17.425387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dbd3ba1f-e496-4c08-92aa-d3d936a1163f · outbound

This paper cites an unresolved cited work.

Oscillating subalgebras of the atomless countable Boolean algebra Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:16:17.254490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation be1d39f7-e926-4b16-8556-6df5af0c70fe · outbound

This paper cites Canonical vertex partitions.

Oscillating subalgebras of the atomless countable Boolean algebra Canonical vertex partitions

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:17.093412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 969c443a-8dbf-45a7-93be-ba879d26d658 · outbound

This paper cites an unresolved cited work.

Oscillating subalgebras of the atomless countable Boolean algebra Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:16:16.942474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d681486a-aacf-4b38-8076-af8d4faa31dd · outbound

This paper cites Oscillations of real numbers.

Oscillating subalgebras of the atomless countable Boolean algebra Oscillations of real numbers

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:16.750398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bff183f5-f1e6-4553-9337-881764ba9294 · outbound

This paper cites Introduction to R amsey spaces , volume 174.

Oscillating subalgebras of the atomless countable Boolean algebra Introduction to R amsey spaces , volume 174

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:16.536179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7208c066-476e-4dd1-970d-0893a2c1c21b · outbound

This paper cites Big R amsey degrees and topological dynamics.

Oscillating subalgebras of the atomless countable Boolean algebra Big R amsey degrees and topological dynamics

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:16.367711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6885bfed-1dac-4c35-9fe3-0dca21f7c561 · outbound

This paper cites On big R amsey degrees for binary free amalgamation classes.

Oscillating subalgebras of the atomless countable Boolean algebra On big R amsey degrees for binary free amalgamation classes

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:16:16.174575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

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