Paper Citation Record · LEDGER

Componentwise Polish groupoids and equivalence relations

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2507.04138.

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

pith.paper-citation-record.v1
2507.04138 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:09:01.191064Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

verified exact4
verified fuzzy24
unresolved16
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bc5bc7eb-0564-4b5f-b41e-3886fa2247f8 · outbound

This paper cites 1, Atlantis Press, Paris; World Scientific Publishing Co.

Componentwise Polish groupoids and equivalence relations 1, Atlantis Press, Paris; World Scientific Publishing Co

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:11.185474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c654d121-34bd-4d96-ae34-349f36c98287 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:10.881841Z

Source-reported events for the cited work

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Observation 0746df9b-b497-4df7-82b6-69226c16ed7b · outbound

This paper cites Kechris, The descriptive set theory of P olish group actions , London Mathematical Society Lecture Note Series, vol.

Componentwise Polish groupoids and equivalence relations Kechris, The descriptive set theory of P olish group actions , London Mathematical Society Lecture Note Series, vol

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:10.620652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4968125c-1d89-48e0-8d2b-ab750c558e7b · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:10.353248Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2faaf58c-c03b-4465-a6e9-0a2f428c45ea · outbound

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Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:10.048558Z

Source-reported events for the cited work

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Observation bba888c7-a167-47eb-ad81-0e3071e708c3 · outbound

This paper cites Notes on quasi-Polish spaces.

Componentwise Polish groupoids and equivalence relations Notes on quasi-Polish spaces

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:09:02.248221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6fb009bb-2894-48b6-ba7f-429929b84925 · outbound

This paper cites Representing Polish groupoids via metric structures.

Componentwise Polish groupoids and equivalence relations Representing Polish groupoids via metric structures

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T20:08:56.828640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff52b058-1563-4605-bd67-6a25e1c420ae · outbound

This paper cites Borel and analytic sets in locales.

Componentwise Polish groupoids and equivalence relations Borel and analytic sets in locales

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:09:02.028150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1f00af7-da11-4251-b192-94bb27150ee7 · outbound

This paper cites Systems 41 (2021), no.

Componentwise Polish groupoids and equivalence relations Systems 41 (2021), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:09.787987Z

Source-reported events for the cited work

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Observation daf829ab-0bf5-4868-91ca-d18829710d01 · outbound

This paper cites Sigma 12 (2024), Paper No.

Componentwise Polish groupoids and equivalence relations Sigma 12 (2024), Paper No

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:09.549596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1175871f-71e4-4106-bc10-98fe497d2186 · outbound

This paper cites 180, Cambridge University Press, Cambridge, 2019.

Componentwise Polish groupoids and equivalence relations 180, Cambridge University Press, Cambridge, 2019

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:09.281551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f995b2a4-4dd4-4e54-b4a3-9f7539cd77a8 · outbound

This paper cites Kechris, Structurable equivalence relations, Fund.

Componentwise Polish groupoids and equivalence relations Kechris, Structurable equivalence relations, Fund

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:09.078539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1bc119ff-0d27-4da2-9586-f89c94e2c5d2 · outbound

This paper cites Structural results on idealistic equivalence relations.

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 2026-08-08T06:32:00.761636+00:00.

Observation 5753e3d2-f919-4148-8d8c-134adbbd5ba6 · outbound

This paper cites Pure Appl.

Componentwise Polish groupoids and equivalence relations Pure Appl

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.928220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0d84e9f-1331-4f99-a2d0-73600c45b928 · outbound

This paper cites de Rancourt and B.

Componentwise Polish groupoids and equivalence relations de Rancourt and B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.752571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7bd0355b-4001-4fe9-9a7d-15762562a953 · outbound

This paper cites Effros, Transformation groups and C -algebras , Ann.

Componentwise Polish groupoids and equivalence relations Effros, Transformation groups and C -algebras , Ann

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.589127Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 61ac7134-3632-4da5-8bf0-11080423c0d1 · outbound

This paper cites 293, CRC Press, Boca Raton, FL, 2009.

Componentwise Polish groupoids and equivalence relations 293, CRC Press, Boca Raton, FL, 2009

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.411178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 25b94614-8a17-498f-a854-24f96b27e2c1 · outbound

This paper cites Structures Comput.

Componentwise Polish groupoids and equivalence relations Structures Comput

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.229947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1eec7592-003b-4de8-ae33-e0a69f1ab70d · outbound

This paper cites 75, American Mathematical Society, Providence, RI, 2000.

Componentwise Polish groupoids and equivalence relations 75, American Mathematical Society, Providence, RI, 2000

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:08.061579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c996550e-9be5-4c6f-bbfa-cd42695f92ec · outbound

This paper cites Kechris, Recent developments in the theory of B orel reducibility , vol.

Componentwise Polish groupoids and equivalence relations Kechris, Recent developments in the theory of B orel reducibility , vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:07.942184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 28dd2004-fe85-4955-a6db-ec9764bf4953 · outbound

This paper cites Johnstone, Stone spaces, Cambridge Studies in Advanced Mathematics, vol.

Componentwise Polish groupoids and equivalence relations Johnstone, Stone spaces, Cambridge Studies in Advanced Mathematics, vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:07.714909Z

Source-reported events for the cited work

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Observation b97caf54-6153-425c-b39c-4af7e501058d · outbound

This paper cites Diff\'erentielle Cat\'eg.

Componentwise Polish groupoids and equivalence relations Diff\'erentielle Cat\'eg

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:07.592490Z

Source-reported events for the cited work

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Observation 1d2921ec-4ea3-4009-8a69-136f6aaf853d · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:07.390364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4776be5c-1fd5-46bc-847a-7574c61e65e9 · outbound

This paper cites Kechris, Classical descriptive set theory: corrections and updates, http://www.math.caltech.edu/ kechris/papers/CDST-corrections.pdf.

Componentwise Polish groupoids and equivalence relations Kechris, Classical descriptive set theory: corrections and updates, http://www.math.caltech.edu/ kechris/papers/CDST-corrections.pdf

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:07.173392Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e77eb30-f654-48ca-86ce-402dd8005682 · outbound

This paper cites Systems 12 (1992), no.

Componentwise Polish groupoids and equivalence relations Systems 12 (1992), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:07.059315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 26cb0c89-cafc-4495-a85b-f92c84a6b3ab · outbound

This paper cites 156, Springer-Verlag, New York, 1995.

Componentwise Polish groupoids and equivalence relations 156, Springer-Verlag, New York, 1995

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:06.795687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db9d4367-c547-43d3-a7a2-fdbc68dfd937 · outbound

This paper cites 160, American Mathematical Society, Providence, RI, 2010.

Componentwise Polish groupoids and equivalence relations 160, American Mathematical Society, Providence, RI, 2010

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:06.591621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e71e09a0-3256-43a7-be2e-4df311e1f7c9 · outbound

This paper cites Kechris and Alain Louveau, The classification of hypersmooth B orel equivalence relations , J.

Componentwise Polish groupoids and equivalence relations Kechris and Alain Louveau, The classification of hypersmooth B orel equivalence relations , J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:06.377659Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9924dd25-7ee3-4622-bd3a-201275e6b964 · outbound

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Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:06.131537Z

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Observation 23fea2c3-b51c-4821-b691-86f69ebad2dc · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:05.916560Z

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Observation d3ee76ba-7302-4fe2-9411-6f5ff887cbeb · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:05.625255Z

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Observation 0a30ead1-70e5-474b-bc16-83d3bc176e96 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:05.375643Z

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Observation 29981673-48d5-4936-8e48-fda2987d0748 · outbound

This paper cites 5, Springer-Verlag, New York, 1998.

Componentwise Polish groupoids and equivalence relations 5, Springer-Verlag, New York, 1998

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T20:08:59.806455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c031e769-72a8-42db-86fe-29152a99d3a2 · outbound

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Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:05.153804Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 33016d94-c282-4eca-807e-83a974a97a5e · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:04.953644Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cd6b9d8d-fddc-4a1a-b76c-a8ce8401d368 · outbound

This paper cites 223, Cambridge University Press, Cambridge, 2022.

Componentwise Polish groupoids and equivalence relations 223, Cambridge University Press, Cambridge, 2022

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:04.682574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aa1d0499-7fec-4cdb-a2b8-9dcfff4b735b · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-06T20:09:01.523572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 056a4fef-36fe-42df-b037-c3f03df74434 · outbound

This paper cites Selivanov, Towards a descriptive set theory for domain-like structures, Theoret.

Componentwise Polish groupoids and equivalence relations Selivanov, Towards a descriptive set theory for domain-like structures, Theoret

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:04.404826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 65c12cc8-4566-4529-9ee4-fa98d9236692 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:03.985802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4de4a135-1436-4fb1-842f-b9ba6b0ce8f0 · outbound

This paper cites Pure Appl.

Componentwise Polish groupoids and equivalence relations Pure Appl

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:03.643611Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 55ae4499-7982-4b62-9665-3f14ed7c76a7 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:03.322869Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b9748692-0e6a-48a7-8576-470d4f6434f5 · outbound

This paper cites Solecki and S.

Componentwise Polish groupoids and equivalence relations Solecki and S

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:02.980954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e5cb658d-2490-488b-9219-9f299f24feb5 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:02.735299Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8558d315-1e63-43b5-b3c7-24d1d19cadc2 · outbound

This paper cites an unresolved cited work.

Componentwise Polish groupoids and equivalence relations Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:09:02.478642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.