Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:32:22.293302Z
Paper Citation Record · LEDGER
Structural results on idealistic equivalence relations
As of 21 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2506.08217.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:08:57.416316Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T20:09:01.672749Z
Reference resolution
36 of 36 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9f4cccea-9dde-441b-a803-4b8a7ca944ba · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.987836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dc39ed77-914d-43ff-992c-93aeb696d9fd · outbound
This paper cites Ash and Julia Knight.Computable structures and the hyperarithmetical hier- archy, volume 144 ofStudies in Logic and the Foundations of Mathematics.
Structural results on idealistic equivalence relations Ash and Julia Knight.Computable structures and the hyperarithmetical hier- archy, volume 144 ofStudies in Logic and the Foundations of Mathematics
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.953485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a2aecb8a-c2a0-418f-ab42-b1982ab633b0 · outbound
This paper cites Infinitary properties of abelian torsion groups.Ann.
Structural results on idealistic equivalence relations Infinitary properties of abelian torsion groups.Ann
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.915278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1d07e3c2-656c-4d1c-bbba-c27012ae448c · outbound
This paper cites The topological Vaught’s conjecture and minimal counterexamples.The Journal of Symbolic Logic, 59(3):757–784, 1994.
Structural results on idealistic equivalence relations The topological Vaught’s conjecture and minimal counterexamples.The Journal of Symbolic Logic, 59(3):757–784, 1994
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.866308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c61f4570-1741-4e60-87e5-60106416147e · outbound
This paper cites Idealistic equivalence relations.
Structural results on idealistic equivalence relations Idealistic equivalence relations
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.781395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0dfab223-c7c1-47d6-b2ea-b76f7f32ec9f · outbound
This paper cites Kechris.The descriptive set theory of Polish group actions, volume232ofLondon Mathematical Society Lecture Note Series.CambridgeUniversityPress, Cambridge, 1996.
Structural results on idealistic equivalence relations Kechris.The descriptive set theory of Polish group actions, volume232ofLondon Mathematical Society Lecture Note Series.CambridgeUniversityPress, Cambridge, 1996
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.760906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 90f454b2-b8f8-4b55-8868-1653d97cb32e · outbound
This paper cites The bi-embeddability relation for countable abelian groups.Trans.
Structural results on idealistic equivalence relations The bi-embeddability relation for countable abelian groups.Trans
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.745609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c16516b5-2f53-47dd-80a4-2c8e7a449487 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.732552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f45fc72d-cf3c-4e1e-89c2-a97dabad1d1d · outbound
This paper cites A Borel reducibility theory for classes of countable struc- tures.J.
Structural results on idealistic equivalence relations A Borel reducibility theory for classes of countable struc- tures.J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.719363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b0091193-4d74-4c28-ac2b-f8dba95ce3a2 · outbound
This paper cites Friedman.
Structural results on idealistic equivalence relations Friedman
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.705628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 73848d0d-8cc6-4798-ac1a-39370e549b4f · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.691878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 19aecb25-43c0-4e4a-a271-c9c633c4a58d · outbound
This paper cites Springer Monographs in Mathematics.
Structural results on idealistic equivalence relations Springer Monographs in Mathematics
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.677914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fe123b60-515a-4e45-abfc-352f5332dbf2 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.663748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0f4f8307-91cd-4abb-99a2-d8e58124ceb6 · outbound
This paper cites Somedichotomy theorems forisomorphism relations ofcountable models.J.
Structural results on idealistic equivalence relations Somedichotomy theorems forisomorphism relations ofcountable models.J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.649112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3e026bff-613a-4fdc-8b5c-7bfb1a0c7745 · outbound
This paper cites CRC Press, Boca Raton, FL, 2009.
Structural results on idealistic equivalence relations CRC Press, Boca Raton, FL, 2009
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.634561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2db5a14a-7eb1-4322-9a6e-108942fb4180 · outbound
This paper cites Analytic determinacy and0#.The Journal of Symbolic Logic, 43(4):685–693, 1978.
Structural results on idealistic equivalence relations Analytic determinacy and0#.The Journal of Symbolic Logic, 43(4):685–693, 1978
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.619308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1fa61342-2627-474c-ad47-e6984a0f5c8a · outbound
This paper cites American Mathematical Society, Providence, RI, 2000.
Structural results on idealistic equivalence relations American Mathematical Society, Providence, RI, 2000
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.603946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7f5b9a2b-89b2-4270-88b1-42900e374e11 · outbound
This paper cites Bi-Borel reducibility of essentially countable Borel equivalence relations.The Journal of Symbolic Logic, 70(3):979–992, 2005.
Structural results on idealistic equivalence relations Bi-Borel reducibility of essentially countable Borel equivalence relations.The Journal of Symbolic Logic, 70(3):979–992, 2005
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.589543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3cc895c9-c5b7-4a40-80d7-3034d8ae62b7 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.574626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 046b1e0a-036a-4207-9d65-0f4d0b401929 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.559410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9c940730-b0fb-4542-bd84-3c30d5d2220e · outbound
This paper cites Springer Monographs in Mathematics.
Structural results on idealistic equivalence relations Springer Monographs in Mathematics
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.544838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d7d456ac-3ea3-4253-87c8-f49b249b1523 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.519582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 359e6218-22d3-45dd-851c-c0a711b36c5d · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.506193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c0bac667-6a1f-4614-96f1-f5b1f8369cc6 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.491113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e3a6534d-c635-4d53-a5f6-2a2251cf8061 · outbound
This paper cites Kechris.Classical descriptive set theory, volume 156 ofGraduate Texts in Math- ematics.
Structural results on idealistic equivalence relations Kechris.Classical descriptive set theory, volume 156 ofGraduate Texts in Math- ematics
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.477536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 27ee9fbf-549d-4c3e-bd07-b7079c82e151 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.462888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fe483fb4-7967-464b-98f1-2bcf3a338cf4 · outbound
This paper cites Kechris and Alain Louveau.
Structural results on idealistic equivalence relations Kechris and Alain Louveau
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.448220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 040bcc4b-2aa0-4aee-9873-1d72e82a3182 · outbound
This paper cites Kechris and Henry L.
Structural results on idealistic equivalence relations Kechris and Henry L
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.433935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5c1a0218-c955-42d2-b21d-8a288dd10175 · outbound
This paper cites How to use Steel forcing.
Structural results on idealistic equivalence relations How to use Steel forcing
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.419099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 08f3c920-9785-49a3-9f13-60a9f491002a · outbound
This paper cites Moschovakis.Descriptive set theory, volume 100 ofStudies in Logic and the Foundations of Mathematics.
Structural results on idealistic equivalence relations Moschovakis.Descriptive set theory, volume 100 ofStudies in Logic and the Foundations of Mathematics
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.404393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e827962a-97b7-464e-b1f9-0fbaa740cd53 · outbound
This paper cites On the complexity of the relations of isomorphism and bi-embeddability.
Structural results on idealistic equivalence relations On the complexity of the relations of isomorphism and bi-embeddability
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.388449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a99f07c9-2b86-4aca-98c6-fa5282734233 · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:32:22.374184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 884d1db4-54e2-4ad0-b8d4-da08e25411b7 · outbound
This paper cites Analytic ideals and their applications.Ann.
Structural results on idealistic equivalence relations Analytic ideals and their applications.Ann
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.360186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 635f2a1b-77f3-4d34-902c-24cb5088e662 · outbound
This paper cites The coset equivalence relation and topologies on subgroups.American Journal of Mathematics, 131(3):571–605, 2009.
Structural results on idealistic equivalence relations The coset equivalence relation and topologies on subgroups.American Journal of Mathematics, 131(3):571–605, 2009
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.345443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9dafe244-0ca5-499b-9a06-2a3de4823422 · outbound
This paper cites Cambridge University Press, Cambridge, 2011.
Structural results on idealistic equivalence relations Cambridge University Press, Cambridge, 2011
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:32:22.330176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d22e67b-c54a-454b-b17c-1a3abaa3849b · outbound
This paper cites an unresolved cited work.
Structural results on idealistic equivalence relations Unresolved cited work
Reference 2003
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:32:22.236636Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 1bc119ff-0d27-4da2-9586-f89c94e2c5d2 · inbound
Componentwise Polish groupoids and equivalence relations cites this paper.
Componentwise Polish groupoids and equivalence relations Structural results on idealistic equivalence relations
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:09:01.823511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.