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Paper Citation Record · LEDGER

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2608.01231.

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

pith.paper-citation-record.v1
2608.01231 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:21:57.787458Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1e41426-1e77-44d4-a6fb-3be89fa4c44d · outbound

This paper cites Barmpalias, N.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Barmpalias, N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.927628Z

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.

source=pdf_text observed=2026-08-15T15:21:57.746734Z digest=sha256:cc860a7c44f6ff51ee872f7c059dcc2675a4b811dff2b8469c68db091a6abe84

Observation 46fd167b-c619-4d00-9d23-e7fa79152cb5 · outbound

This paper cites Bernshteyn and J.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Bernshteyn and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.916163Z

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.

source=pdf_text observed=2026-08-15T15:21:57.750920Z digest=sha256:4bedecaf21c0292d8460e896864d8b41b1b22e39ba5e6609d478ca1c48eef1c6

Observation 801d09e7-1283-492f-83c2-d879bc9b74f7 · outbound

This paper cites Conley, S.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Conley, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.905242Z

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.

source=pdf_text observed=2026-08-15T15:21:57.754637Z digest=sha256:ddb5c59f100d779d245c03984f128ba4692df4449460649bc64a8e0eae290ab1

Observation ae7f39f8-0c67-479f-a112-20235606e049 · outbound

This paper cites Diaconis and B.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Diaconis and B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.894766Z

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.

source=pdf_text observed=2026-08-15T15:21:57.758310Z digest=sha256:77bf790d29ee5fdcae88c6e3375734ba29a235b32986681d117ff0b88630b116

Observation 5f0d258d-b542-47e7-baf5-c5255428741a · outbound

This paper cites Gao and S.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Gao and S

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T15:21:57.762307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:21:57.762307Z digest=sha256:30808e07fc17d12e07498a2956250e362089c731b7f46b7c2916cf05fc87ad33

Observation 59fa1bbd-cc55-4cc2-ab6f-85ac409a740d · outbound

This paper cites Grebík and C.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Grebík and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.876014Z

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.

source=pdf_text observed=2026-08-15T15:21:57.767327Z digest=sha256:42f40b1f5a348c17c4ed4cb322a20606f879084e28542f6be14ebe64a2c69299

Observation 0d47082d-f8d9-477a-a365-d4cfa84aae3a · outbound

This paper cites Grillet, A short proof of Rédei’s theorem,Semigroup Forum46(1993), 126–127.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Grillet, A short proof of Rédei’s theorem,Semigroup Forum46(1993), 126–127

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.864598Z

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.

source=pdf_text observed=2026-08-15T15:21:57.772342Z digest=sha256:09e88cbb03b3288cf8e7d4e115a9b0d790edf916c105bb08148c64fc6146bf42

Observation 764d307e-c31b-440e-a20a-a1a95260b278 · outbound

This paper cites Higgins,A note on forward-recurrent sets with bounded gaps, manuscript available at https://sites.google.com/view/cecelia-higgins/home, 2023.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Higgins,A note on forward-recurrent sets with bounded gaps, manuscript available at https://sites.google.com/view/cecelia-higgins/home, 2023

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.853395Z

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.

source=pdf_text observed=2026-08-15T15:21:57.776185Z digest=sha256:8f5c673ced27ed0e5ce5209eb04f9fe23457772c949ee29f9f1337a077089be7

Observation b4b6df04-4ab4-4503-a44b-a36777eae8ba · outbound

This paper cites Kechris, S.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Kechris, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.841449Z

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.

source=pdf_text observed=2026-08-15T15:21:57.779835Z digest=sha256:cb66eb4a1c1eae4c6123ad711652bb8ee3268df8d055134445cd6ea4ec9067de

Observation c6f92a69-87f4-4e9a-a3f8-5703cc3ff68f · outbound

This paper cites Naryshkin, F.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Naryshkin, F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.830722Z

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.

source=pdf_text observed=2026-08-15T15:21:57.783547Z digest=sha256:ef14d2c561646ae072acb66ace3a6305fc3ac301457dc08823ce1c80e6533c97

Observation 55396166-06c6-447f-a05f-c307692f282a · outbound

This paper cites Schneider and B.

Borel graphs generated by finitely many bounded-to-1 commuting Borel functions and hyperfinite equivalence relations Schneider and B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:57.819239Z

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.

source=pdf_text observed=2026-08-15T15:21:57.787458Z digest=sha256:a4555b2d1876abcc6549bc23771e66e02e46e7bfc63718f36ebe5a5db911e086

Pith citing papers

No inbound Pith citation observations are available.