Paper Citation Record · LEDGER

Borel Kernels in Borel Directed Graphs

As of 6 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2509.01948.

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

pith.paper-citation-record.v1
2509.01948 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:13:45.615355Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy12
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f53894b-650c-4575-b9c2-d6e44b825909 · outbound

This paper cites Chv\' a tal, L.

Borel Kernels in Borel Directed Graphs Chv\' a tal, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:47.497615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation df3fa3d6-25dd-461d-bf1f-28a21ed75c8c · outbound

This paper cites Conley, S.

Borel Kernels in Borel Directed Graphs Conley, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:47.377020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 256ccd32-b809-49f4-9353-85612c041017 · outbound

This paper cites Conley, S.

Borel Kernels in Borel Directed Graphs Conley, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:47.202704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3f5c5f9d-a85d-42a7-a881-979284295a52 · outbound

This paper cites Gao, Invariant Descriptive Set Theory.

Borel Kernels in Borel Directed Graphs Gao, Invariant Descriptive Set Theory

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:47.078898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cb3b764d-f3fe-435f-bc5a-2c2dd0ea1412 · outbound

This paper cites Haynes, S.

Borel Kernels in Borel Directed Graphs Haynes, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.974164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cfe223b4-3680-4ad8-a691-685ca7e95727 · 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 Kernels in Borel Directed Graphs Higgins, A note on forward-recurrent sets with bounded gaps, manuscript available at https://sites.google.com/view/cecelia-higgins/home , 2023

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.845355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0ea8d9ef-9ec0-4a7b-8dbc-4a64f693ef65 · outbound

This paper cites Kechris, Classical Descriptive Set Theory.

Borel Kernels in Borel Directed Graphs Kechris, Classical Descriptive Set Theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.683052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 37736ae3-b115-4e9b-b704-0c42da48938f · outbound

This paper cites Kechris, A.

Borel Kernels in Borel Directed Graphs Kechris, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.521554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9c201a52-5e57-497b-9cd3-2f9b9221f10d · outbound

This paper cites Kechris, S.

Borel Kernels in Borel Directed Graphs Kechris, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.385786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b91c04c9-1fb1-4d25-9e60-b2cec774de82 · outbound

This paper cites an unresolved cited work.

Borel Kernels in Borel Directed Graphs Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:13:46.255760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fe4d7bec-47dc-4df6-89da-ad5b1601d1f2 · outbound

This paper cites Meehan, K.

Borel Kernels in Borel Directed Graphs Meehan, K

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:46.119213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d2d8cade-b53b-4be3-90d2-7e1a3dcb9784 · outbound

This paper cites Palamourdas, 1,2,3, ,2n+1, ! , Ph.D.

Borel Kernels in Borel Directed Graphs Palamourdas, 1,2,3, ,2n+1, ! , Ph.D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:45.962194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6c2dd9c3-76f3-44b7-a86e-1e6a66c9e18e · outbound

This paper cites Richardson, On weakly ordered systems, Bull.

Borel Kernels in Borel Directed Graphs Richardson, On weakly ordered systems, Bull

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:13:45.789205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.