Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:44.082548Z
Paper Citation Record · LEDGER
SOP$_2$=SOP$_3$
As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2608.13291.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
30 of 30 outbound references displayed
- verified exact1
- verified fuzzy21
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ea591958-3035-406b-ba17-f5ae54caf44e · outbound
This paper cites Transitivity, lowness, and ranks inNSOP1 theories.The Journal of Symbolic Logic, 88(3):919–946, 2023.
SOP$_2$=SOP$_3$ Transitivity, lowness, and ranks inNSOP1 theories.The Journal of Symbolic Logic, 88(3):919–946, 2023
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.520942Z
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 7d9ea758-16f0-4572-b5c0-1cbde26df42d · outbound
This paper cites On model-theoretic tree properties.Journal of Mathematical Logic, 16(2):1650009, 2016.
SOP$_2$=SOP$_3$ On model-theoretic tree properties.Journal of Mathematical Logic, 16(2):1650009, 2016
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:43.951298Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2febc0dd-ee66-46ba-a82e-f38e87cbcb99 · outbound
This paper cites An axiomatic approach to free amalgamation.The Journal of Symbolic Logic, 82(2):648–671, 2017.
SOP$_2$=SOP$_3$ An axiomatic approach to free amalgamation.The Journal of Symbolic Logic, 82(2):648–671, 2017
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:43.955680Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6b9f52b-ec77-407a-8544-995b0d47d5a9 · outbound
This paper cites Independence over arbitrary sets inNSOP1 theories.Annals of Pure and Applied Logic, 173(2):103058, 2022.
SOP$_2$=SOP$_3$ Independence over arbitrary sets inNSOP1 theories.Annals of Pure and Applied Logic, 173(2):103058, 2022
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.484930Z
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 aadab254-d21f-4cbd-8d12-64a6f60c2aab · outbound
This paper cites On◁∗-maximality.Annals of Pure and Applied Logic, 125(1– 3):119–158, 2004.
SOP$_2$=SOP$_3$ On◁∗-maximality.Annals of Pure and Applied Logic, 125(1– 3):119–158, 2004
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.470577Z
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 5aa95715-57f1-4fcb-a34d-1c62200a6d2b · outbound
This paper cites PhD thesis, University of California, Berkeley, 2013.
SOP$_2$=SOP$_3$ PhD thesis, University of California, Berkeley, 2013
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.455293Z
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 ae739f33-465f-4d4c-a4ea-da952ebf3486 · outbound
This paper cites Pseudo-finite fields and related structures.
SOP$_2$=SOP$_3$ Pseudo-finite fields and related structures
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.440535Z
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 7c0fc367-7c84-4e79-8d85-a265155180c7 · outbound
This paper cites On Kim-independence.Journal of the European Mathematical Society, 22(5):1423–1474, 2020.
SOP$_2$=SOP$_3$ On Kim-independence.Journal of the European Mathematical Society, 22(5):1423–1474, 2020
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:43.984169Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e97a5017-c6db-4f28-8a62-c01468530d30 · outbound
This paper cites Transitivity of Kim-independence.Advances in Mathematics, 379:107573, 2021.
SOP$_2$=SOP$_3$ Transitivity of Kim-independence.Advances in Mathematics, 379:107573, 2021
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:43.988710Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23c1c26e-adf9-4df0-b72e-13ac65f89a9a · outbound
This paper cites Local character of Kim-independence.Proceed- ings of the American Mathematical Society, 147(4):1719–1732, 2019.
SOP$_2$=SOP$_3$ Local character of Kim-independence.Proceed- ings of the American Mathematical Society, 147(4):1719–1732, 2019
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:43.993368Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 297f316d-f1f6-49de-8283-255a5679cb7f · outbound
This paper cites Generic stability independence and treeless theo- ries.Forum of Mathematics, Sigma, 12:e49, 2024.
SOP$_2$=SOP$_3$ Generic stability independence and treeless theo- ries.Forum of Mathematics, Sigma, 12:e49, 2024
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.385005Z
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 100817a3-03ec-4522-bca2-098b2c650909 · outbound
This paper cites Forking in simple unstable theories.Journal of the London Mathematical Society, 57(2):257–267, 1998.
SOP$_2$=SOP$_3$ Forking in simple unstable theories.Journal of the London Mathematical Society, 57(2):257–267, 1998
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.370249Z
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 f36313d4-ac6f-4595-8a22-e03255d7983e · outbound
This paper cites Oxford University Press, Oxford, 2013.
SOP$_2$=SOP$_3$ Oxford University Press, Oxford, 2013
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.355779Z
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 35408f44-d53c-439c-9040-4bf99091bb5e · outbound
This paper cites Notions around tree property 1.Annals of Pure and Applied Logic, 162(9):698–709, 2011.
SOP$_2$=SOP$_3$ Notions around tree property 1.Annals of Pure and Applied Logic, 162(9):698–709, 2011
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.341204Z
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 a4141fee-ed87-4ac6-b0a5-0cd66af84807 · outbound
This paper cites Tree indiscernibilities, revisited.Archive for Mathematical Logic, 53(1–2):211–232, 2014.
SOP$_2$=SOP$_3$ Tree indiscernibilities, revisited.Archive for Mathematical Logic, 53(1–2):211–232, 2014
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.327268Z
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 5860a7ec-5447-479b-889a-c3fdd995f9d5 · outbound
This paper cites Existence inNSOP 1 theories.The Journal of Symbolic Logic, pages 1–15, 2025.
SOP$_2$=SOP$_3$ Existence inNSOP 1 theories.The Journal of Symbolic Logic, pages 1–15, 2025
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.313612Z
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 0e7767a9-71b2-4b6d-8512-0303f8a51f08 · outbound
This paper cites Simple theories.Annals of Pure and Applied Logic, 88(2–3):149– 164, 1997.
SOP$_2$=SOP$_3$ Simple theories.Annals of Pure and Applied Logic, 88(2–3):149– 164, 1997
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.300381Z
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 ae8ea699-7ead-4822-8ce5-bae346cb2d5c · outbound
This paper cites Cofinality spectrum theorems in model theory, set theory, and general topology.Journal of the American Mathematical Society, 29(1):237–297, 2016.
SOP$_2$=SOP$_3$ Cofinality spectrum theorems in model theory, set theory, and general topology.Journal of the American Mathematical Society, 29(1):237–297, 2016
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.287147Z
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 63d6af68-a07e-4959-ab8d-8d010164f8df · outbound
This paper cites Model-theoretic applications of cofinality spectrum prob- lems.Israel Journal of Mathematics, 220(2):947–1014, 2017.
SOP$_2$=SOP$_3$ Model-theoretic applications of cofinality spectrum prob- lems.Israel Journal of Mathematics, 220(2):947–1014, 2017
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.272585Z
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 4103336b-c37d-4418-aa70-6a540564ce68 · outbound
This paper cites Properties of independence in $\mathrm{NSOP}_3$ theories.
SOP$_2$=SOP$_3$ Properties of independence in $\mathrm{NSOP}_3$ theories
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:44.039849Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85bd5950-76b0-427b-b218-98f998792847 · outbound
This paper cites Conant-independence and generalized free amalgamation.Journal of Mathematical Logic, 26(1):2450028, 2026.
SOP$_2$=SOP$_3$ Conant-independence and generalized free amalgamation.Journal of Mathematical Logic, 26(1):2450028, 2026
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.258083Z
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 fd60d373-bab7-492c-9272-a65a7e059d20 · outbound
This paper cites OnNSOP 2 theories.Journal of the European Mathematical Society, 28(8):3475– 3498, 2026.
SOP$_2$=SOP$_3$ OnNSOP 2 theories.Journal of the European Mathematical Society, 28(8):3475– 3498, 2026
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.242402Z
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 3265c118-244e-40f9-9466-81f616152755 · outbound
This paper cites Some applications of the real strict order property hierarchy.
SOP$_2$=SOP$_3$ Some applications of the real strict order property hierarchy
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:42:44.125590Z
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 ef054352-ed32-479a-96a0-5f3522a3fe3d · outbound
This paper cites Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory.Annals of Mathematical Logic, 3(3):271–362, 1971.
SOP$_2$=SOP$_3$ Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory.Annals of Mathematical Logic, 3(3):271–362, 1971
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.228284Z
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 f1556b54-4ec6-4c13-9458-438ee248e2bc · outbound
This paper cites Simple unstable theories.Annals of Mathematical Logic, 19(3):177–203, 1980.
SOP$_2$=SOP$_3$ Simple unstable theories.Annals of Mathematical Logic, 19(3):177–203, 1980
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.214397Z
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 76b46c68-aa11-4614-bdf0-3a946beb7d77 · outbound
This paper cites Toward classifying unstable theories.Annals of Pure and Applied Logic, 80(3):229– 255, 1996.
SOP$_2$=SOP$_3$ Toward classifying unstable theories.Annals of Pure and Applied Logic, 80(3):229– 255, 1996
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.198608Z
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 a03e6014-5970-41dd-a3a0-2f4d27ac5806 · outbound
This paper cites More onSOP1 andSOP 2.Annals of Pure and Applied Logic, 155(1):16–31, 2008.
SOP$_2$=SOP$_3$ More onSOP1 andSOP 2.Annals of Pure and Applied Logic, 155(1):16–31, 2008
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.183744Z
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 393629fe-2f43-4418-b293-ff2be4ba8d4e · outbound
This paper cites On the existence of indiscernible trees.Annals of Pure and Applied Logic, 163(12):1891–1902, 2012.
SOP$_2$=SOP$_3$ On the existence of indiscernible trees.Annals of Pure and Applied Logic, 163(12):1891–1902, 2012
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:42:44.077877Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52b6a001-5dc6-4594-9070-d168f3ed69d5 · outbound
This paper cites Wagner.Simple Theories, volume 503 ofMathematics and Its Applications.
SOP$_2$=SOP$_3$ Wagner.Simple Theories, volume 503 ofMathematics and Its Applications
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:42:44.158021Z
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 e477e716-f74e-4eba-a18d-791ba62104b9 · outbound
This paper cites an unresolved cited work.
SOP$_2$=SOP$_3$ Unresolved cited work
Reference 2002
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:42:44.427516Z
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
No inbound Pith citation observations are available.