Pith. sign in

Paper Citation Record · LEDGER

Results on Colored Tree Properties

As of 16 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:05.846090Z digest=sha256:724849f2ac1d6646c3dfc83be3cbec27dc53ec7e2435c968ad286b2ef7ace8ce

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:06.003913Z digest=sha256:faca02af09a813e456fad5522276cc9deb6c263e0a63365e2a147c3c49d4fedb

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.

source=arxiv_source observed=2026-08-06T19:04:06.187407Z digest=sha256:c6569d0f76281e66f0598e7b8d18e654e59576212b81afc393749c6a05909b8c

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.

source=arxiv_source observed=2026-08-06T19:04:06.295148Z digest=sha256:7f79c941995bd47e52cc0287755477c534105785ab524860ab5eb74e22bd5738

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:06.456530Z digest=sha256:561058e2e19fcb42c855b446c6f7b4bb5974b6766e76d02eecbd1b759ebee56b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:06.630147Z digest=sha256:119ae5bfecd40baa459f51090d328fc51fad9eed94ea095bcb2957e5bf3e53fe

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:06.731225Z digest=sha256:daee6f248b8abe99eb41eed04f9446a0a110eedaa86dd2df4f926a839486a40f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:06.889196Z digest=sha256:469d557ec5d7959cecf96419ef1b7a8eef8a393c7889b273f0d25059f4d90655

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.030280Z digest=sha256:b549212700c12d6fdd5d09ba4dcbd86af7d68d33a6c23f40001cf6598afe4991

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.118355Z digest=sha256:e12627b4c9e1aaf5a9286d502e57805090fbb35ef7683db3f296cad6cf4d2762

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.218119Z digest=sha256:f00bc31482ceeb057944e26c42be8d05bae24e8e62aadb8fea9cc587025824d4

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.293150Z digest=sha256:2924946894d30a1715ea7153b5da9f8b2cbf38cb5590ea54d377052f491ec11b

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.459129Z digest=sha256:a3bf30aebc16818214b22aba7173940f64e1aae41cc743243543dd4c2ed00b68

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.612634Z digest=sha256:9edb99fde57a6058355466ea9e713ad1a2d697c0ec47ec1845bf111e41279f9d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.757045Z digest=sha256:3736cb6acbc1b5ea86cbcf9c76b250b5c700b3927247ff42443fd9fab9219c92

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:07.887762Z digest=sha256:cd70322452719158f640e60424aa054450cd7b5a290b6d63e0ca05c7285f62de

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:08.033177Z digest=sha256:4ee692f319f57ef8b5edc520328a0058958689aeb470145051617ad97577d413

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:08.170744Z digest=sha256:d8e56a14c9e73dff6453b344c438ea3b33ac37a06ee28b5a8ce0e2cf4ceb7007

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:04:08.336449Z digest=sha256:7ec5cb3a0fbf6042d00f33fb382acafd108c1d64d5c76f876fb07e4dc3832375

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-26T21:29:54.129942Z digest=sha256:5a4a9d913f8f4365998bb8892f1f80c349b76549dc14c38675c4aac74d1713d7