Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T21:29:54.129942Z
Paper Citation Record · LEDGER
On the notion of a patterning property in model theory
As of 13 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2606.18533.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T11:20:25.093177Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-30T08:54:29.481188Z
Reference resolution
36 of 36 outbound references displayed
- verified exact12
- verified fuzzy0
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch4
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8dd26440-172f-4608-aea1-99228b3b8915 · outbound
This paper cites Annals of Pure and Applied Logic , year =.
On the notion of a patterning property in model theory Annals of Pure and Applied Logic , year =
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1151f130-0983-4912-978e-88e44e718cde · outbound
This paper cites manuscript , year =.
On the notion of a patterning property in model theory manuscript , year =
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23c2041c-74fb-44d9-b902-36a453ee3cc5 · outbound
This paper cites 2020 , school=.
On the notion of a patterning property in model theory 2020 , school=
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29b14050-a3ab-4fe7-982c-25db5a9b29d7 · outbound
This paper cites , title =.
On the notion of a patterning property in model theory , title =
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T00:09:14.260994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e8fb034a-21ab-4d62-b079-ef969a133c83 · outbound
This paper cites an unresolved cited work.
On the notion of a patterning property in model theory Unresolved cited work
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db7a2ac5-3f08-48df-af1d-d112a7426f36 · outbound
This paper cites an unresolved cited work.
On the notion of a patterning property in model theory Unresolved cited work
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 668d6ceb-81e5-470b-a18c-6a1dbf3ce303 · outbound
This paper cites Binary simple homogeneous structures are supersimple with finite rank , urldate =.
On the notion of a patterning property in model theory Binary simple homogeneous structures are supersimple with finite rank , urldate =
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0754b4d7-7242-4446-8fad-32ea4d9aeff3 · outbound
This paper cites Simple Homogeneous Structures and Indiscernible Sequence Invariants.
On the notion of a patterning property in model theory Simple Homogeneous Structures and Indiscernible Sequence Invariants
Reference 8
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-04T00:09:14.273278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b388c220-a21c-49a9-b143-d4b22be65771 · outbound
This paper cites 1988 , publisher=.
On the notion of a patterning property in model theory 1988 , publisher=
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fcb7f6dd-700b-4d8e-bd41-6d0e76623fb6 · outbound
This paper cites Annals of Pure and Applied Logic , volume =.
On the notion of a patterning property in model theory Annals of Pure and Applied Logic , volume =
Reference 10
- Resolution
- verified exact
- doi, observed 2026-06-26T21:30:02.534376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a274db74-d7bc-4396-9be1-6b1dbd7cf1f4 · outbound
This paper cites Notre Dame Journal of Formal Logic , volume =.
On the notion of a patterning property in model theory Notre Dame Journal of Formal Logic , volume =
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-06-26T21:30:02.540105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 982ed07d-e827-48f2-a660-3cc85e734959 · outbound
This paper cites Proceedings of the American Mathematical Society , volume=.
On the notion of a patterning property in model theory Proceedings of the American Mathematical Society , volume=
Reference 12
- Resolution
- verified exact
- doi, observed 2026-06-26T21:30:02.539042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f496a005-20a0-4821-b896-a520970c2aa9 · outbound
This paper cites Taking model-complete cores.
On the notion of a patterning property in model theory Taking model-complete cores
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-07-29T02:24:13.612455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f1ac0ef-fa27-4a39-b020-6cb516b13a15 · outbound
This paper cites Properties of independence in $\mathrm{NSOP}_3$ theories.
On the notion of a patterning property in model theory Properties of independence in $\mathrm{NSOP}_3$ theories
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T00:09:14.268942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation db6c9565-d64c-4605-a1b6-9feebbab1349 · outbound
This paper cites 2023 , month =.
On the notion of a patterning property in model theory 2023 , month =
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e93868ee-8508-49e4-b5d7-0af280fe11cf · outbound
This paper cites Annals of Pure and Applied Logic , year =.
On the notion of a patterning property in model theory Annals of Pure and Applied Logic , year =
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24c4a927-25d2-4fc8-86c8-bccef5e38285 · outbound
This paper cites 1990 , publisher=.
On the notion of a patterning property in model theory 1990 , publisher=
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2862a109-f89b-4ee3-b547-45de9edad43c · outbound
This paper cites Results on Colored Tree Properties.
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 2026-08-13T06:32:02.005865+00:00.
Observation 68347ddd-bcd8-47cc-933c-a99544ef00ff · outbound
This paper cites an unresolved cited work.
On the notion of a patterning property in model theory Unresolved cited work
Reference 19
- Resolution
- verified exact
- doi, observed 2026-06-26T21:30:02.541818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cf66ce9d-01b1-4492-bf41-78ea6b8648d6 · outbound
This paper cites Archive for Mathematical Logic , volume=.
On the notion of a patterning property in model theory Archive for Mathematical Logic , volume=
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56c166fe-4380-4051-a31a-a26d89be7277 · outbound
This paper cites Journal of the European Mathematical Society 28 (2026), no.
On the notion of a patterning property in model theory Journal of the European Mathematical Society 28 (2026), no
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e878133c-bea5-4fc1-899a-19fd80762ef9 · outbound
This paper cites On what I do not understand (and have something to say), model theory.
On the notion of a patterning property in model theory On what I do not understand (and have something to say), model theory
Reference 22
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-04T00:09:14.252938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a0f3c88d-6ad0-4f6a-a6f7-996d8b8b19d3 · outbound
This paper cites Mathematical Logic Quarterly , volume=.
On the notion of a patterning property in model theory Mathematical Logic Quarterly , volume=
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0dfb067c-6727-4d0d-9370-640b6e61760f · outbound
This paper cites Hypergraph regularity and higher arity VC-dimension.
On the notion of a patterning property in model theory Hypergraph regularity and higher arity VC-dimension
Reference 24
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T00:09:14.282889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fc028226-d093-44f6-a635-bfd4dd75ef7f · outbound
This paper cites Higher-order generalizations of stability and arithmetic regularity.
On the notion of a patterning property in model theory Higher-order generalizations of stability and arithmetic regularity
Reference 25
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T00:09:14.265326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f04829ef-53f0-447b-8019-bd258351b43c · outbound
This paper cites Fundamenta Mathematicae , author =.
On the notion of a patterning property in model theory Fundamenta Mathematicae , author =
Reference 26
- Resolution
- verified exact
- doi, observed 2026-06-26T21:30:02.536801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3d2baa86-159a-432d-bc3f-721c1c1109ce · outbound
This paper cites Model-theoretic dividing lines via posets.
On the notion of a patterning property in model theory Model-theoretic dividing lines via posets
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T00:09:14.286640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 84008e3d-89c2-45ad-b45a-77a8f6131f86 · outbound
This paper cites Trace definability.
On the notion of a patterning property in model theory Trace definability
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a489d96-a4b9-4a3b-a4ab-4409bc80bdd0 · outbound
This paper cites Forum of Mathematics, Sigma , volume=.
On the notion of a patterning property in model theory Forum of Mathematics, Sigma , volume=
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d24b1345-fa16-4f0f-bdc9-4257a45c91fb · outbound
This paper cites an unresolved cited work.
On the notion of a patterning property in model theory Unresolved cited work
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bc36289-b52e-46c7-bae0-1e77788b8aeb · outbound
This paper cites Definable groups for dependent and 2-dependent theories.
On the notion of a patterning property in model theory Definable groups for dependent and 2-dependent theories
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T00:09:14.248965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 98a1a822-06b2-46ae-b4f8-b4c3a93e727b · outbound
This paper cites Selecta Mathematica , volume=.
On the notion of a patterning property in model theory Selecta Mathematica , volume=
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d1f72bd-782b-4644-ab3f-66f5b897fb88 · outbound
This paper cites Mathematical Logic Quarterly , author =.
On the notion of a patterning property in model theory Mathematical Logic Quarterly , author =
Reference 33
- Resolution
- verified exact
- doi, observed 2026-06-26T21:30:02.531235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a00975c7-8301-4f08-bfbb-d333fbd1f457 · outbound
This paper cites The Journal of Symbolic Logic , pages=.
On the notion of a patterning property in model theory The Journal of Symbolic Logic , pages=
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13759066-fdcb-45fe-ba16-425cd120add3 · outbound
This paper cites Notre Dame Journal of Formal Logic , year=.
On the notion of a patterning property in model theory Notre Dame Journal of Formal Logic , year=
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6048e603-29b1-42e3-9408-75917d0cf3f6 · outbound
This paper cites Characterization of.
On the notion of a patterning property in model theory Characterization of
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T21:29:54.129942Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation a381bd3e-79ad-405d-b9fa-a59b30637fd0 · inbound
Some applications of the real strict order property hierarchy cites this paper.
Some applications of the real strict order property hierarchy On the notion of a patterning property in model theory
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T08:54:29.482719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8c664706-14fd-4c3d-859f-0cdb3503625a · inbound
Some applications of the real strict order property hierarchy cites this paper.
Some applications of the real strict order property hierarchy On the notion of a patterning property in model theory
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T11:20:25.093177Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.