Paper Citation Record · LEDGER

Results on Colored Tree Properties

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2507.06977.

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

pith.paper-citation-record.v1
2507.06977 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:04:08.336449Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T21:29:54.129942Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T00:09:14.254671Z

Reference resolution

19 of 19 outbound references displayed

verified exact1
verified fuzzy16
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06e192c6-bf7c-4916-8f22-ca50080ec096 · outbound

This paper cites A Walk on the Wild Side : Notions of maximality in first-order theories, 2024.

Results on Colored Tree Properties A Walk on the Wild Side : Notions of maximality in first-order theories, 2024

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:13.010394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 027fdacd-788d-4198-ab34-45e8977dc42e · outbound

This paper cites New R amsey classes from old.

Results on Colored Tree Properties New R amsey classes from old

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:12.778872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ef5140d-f69f-4ea3-9104-6398250e1da2 · outbound

This paper cites Theories without the tree property of the second kind.

Results on Colored Tree Properties Theories without the tree property of the second kind

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:06.187407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cafe1271-bbfb-43c2-a339-64bddb378f8c · outbound

This paper cites On model-theoretic tree properties.

Results on Colored Tree Properties On model-theoretic tree properties

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:06.295148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20881580-b539-47a8-9731-78e73bc2025e · outbound

This paper cites Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles.

Results on Colored Tree Properties Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:12.540043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3b10e51c-c412-4ba5-a8f9-661e46bf9539 · outbound

This paper cites Notions around tree property 1.

Results on Colored Tree Properties Notions around tree property 1

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:12.155686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6ed44e24-f2e6-45ff-986c-e30200571dac · outbound

This paper cites Tree indiscernibilities, revisited.

Results on Colored Tree Properties Tree indiscernibilities, revisited

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:11.910208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05985197-fe87-447c-b44a-cf3550ca0cbd · outbound

This paper cites On K im-independence.

Results on Colored Tree Properties On K im-independence

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:11.665017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation acef1b70-43ad-4bd2-9f18-536b1e78d6c4 · outbound

This paper cites Laskowski and S.

Results on Colored Tree Properties Laskowski and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:11.417855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c49fd6fb-3a27-42c4-b9cd-8d96ed86bac0 · outbound

This paper cites Practical and Structural Infinitary Expansions.

Results on Colored Tree Properties Practical and Structural Infinitary Expansions

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:04:08.647367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 28d93761-ea27-446b-8c4c-ebd7909133d9 · outbound

This paper cites Malliaris and S.

Results on Colored Tree Properties Malliaris and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:11.139950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6908735-6281-4c49-8bad-4547b9655a63 · outbound

This paper cites Malliaris and S.

Results on Colored Tree Properties Malliaris and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:10.844755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6b37826c-c432-4e67-a347-ef994a51dee2 · outbound

This paper cites Ramsey classes of set systems.

Results on Colored Tree Properties Ramsey classes of set systems

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:10.612432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3e6a43a-43e8-41cc-a850-88be717480b3 · outbound

This paper cites Characterization of NIP theories by ordered graph-indiscernibles.

Results on Colored Tree Properties Characterization of NIP theories by ordered graph-indiscernibles

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:10.312615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a144d3dd-6f55-43d3-9ade-b51703c3b266 · outbound

This paper cites Characterization of nip theories by ordered graph-indiscernibles.

Results on Colored Tree Properties Characterization of nip theories by ordered graph-indiscernibles

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:10.017040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0efb5476-8818-40e4-ac7d-ab0c4f991fe0 · outbound

This paper cites Classification theory and the number of non-isomorphic models.

Results on Colored Tree Properties Classification theory and the number of non-isomorphic models

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:09.740064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f740d781-4b09-4b5b-8691-9fbe567d25e5 · outbound

This paper cites On what I do not understand (and have something to say): Part I.

Results on Colored Tree Properties On what I do not understand (and have something to say): Part I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:09.484400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a445d37-8bf5-4b24-ae65-73add4f9afc6 · outbound

This paper cites A Guide to NIP Theories.

Results on Colored Tree Properties A Guide to NIP Theories

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:09.191105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ebeec7b-b3b1-470a-8b28-277f1b779ea6 · outbound

This paper cites On the existence of indiscernible trees.

Results on Colored Tree Properties On the existence of indiscernible trees

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:08.887148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 2862a109-f89b-4ee3-b547-45de9edad43c · inbound

On the notion of a patterning property in model theory cites this paper.

On the notion of a patterning property in model theory Results on Colored Tree Properties

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-04T00:09:14.256951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.