Paper Citation Record · LEDGER

Cutoff for non-negatively curved diffusions

As of 22 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2501.01304.

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

pith.paper-citation-record.v1
2501.01304 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:43:16.795006Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:24:05.817730Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:24:05.863189Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy11
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8dc70cd-7f11-4dba-909e-e32329c8bf3a · outbound

This paper cites Random walks on ﬁnite groups and rapidly mixing Marko v chains.

Cutoff for non-negatively curved diffusions Random walks on ﬁnite groups and rapidly mixing Marko v chains

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.720566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35a07862-20cd-45e7-8069-31ca4a9174cd · outbound

This paper cites Shuﬄing cards and stopping times.

Cutoff for non-negatively curved diffusions Shuﬄing cards and stopping times

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.725050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67276f50-5bcb-4a4d-a3c3-e3d3ec1ed278 · outbound

This paper cites Bakry and Michel ´Emery.

Cutoff for non-negatively curved diffusions Bakry and Michel ´Emery

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.728982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec7f1062-9d3a-4d51-88e5-eeb4e42aaf9f · outbound

This paper cites Analysis and geometry of Markov diﬀusion operators , volume 348 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Cutoff for non-negatively curved diffusions Analysis and geometry of Markov diﬀusion operators , volume 348 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.732691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 538ab213-06fd-4f0b-9afb-da9098859e33 · outbound

This paper cites Abrupt convergence for a family of Ornstein -Uhlenbeck processes.

Cutoff for non-negatively curved diffusions Abrupt convergence for a family of Ornstein -Uhlenbeck processes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.969304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 27d51c62-99cd-4035-bb98-f928cd9171fa · outbound

This paper cites Charac terization of cutoﬀ for reversible Markov chains.

Cutoff for non-negatively curved diffusions Charac terization of cutoﬀ for reversible Markov chains

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.958847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7bfba93e-ba8c-472a-bc23-d205dee1b46c · outbound

This paper cites Universal cutoﬀ for Dyson Ornstein Uhlenbeck process.

Cutoff for non-negatively curved diffusions Universal cutoﬀ for Dyson Ornstein Uhlenbeck process

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.947283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1d15b851-252b-487a-b8e6-74d4c71ab227 · outbound

This paper cites On cutoﬀ via rigidity for high dimension al curved diﬀu- sions, 2024.

Cutoff for non-negatively curved diffusions On cutoﬀ via rigidity for high dimension al curved diﬀu- sions, 2024

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.936662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6a370921-6490-40d7-8359-ffb48b916411 · outbound

This paper cites The sample size required in importance sampling.

Cutoff for non-negatively curved diffusions The sample size required in importance sampling

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.926317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b18040e9-1930-4b08-ac51-1f4282c7df6e · outbound

This paper cites The cutoﬀ phenomen on for ergodic Markov processes.

Cutoff for non-negatively curved diffusions The cutoﬀ phenomen on for ergodic Markov processes

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.915159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a94198d4-8568-4e48-bba6-74ed78b1922b · outbound

This paper cites Cover and Joy A.

Cutoff for non-negatively curved diffusions Cover and Joy A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.904514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 68c5e171-8763-43f8-a90c-a9f180da345e · outbound

This paper cites The cutoﬀ phenomenon in ﬁnite Markov chains.

Cutoff for non-negatively curved diffusions The cutoﬀ phenomenon in ﬁnite Markov chains

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.762008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dcd2a27-1ae4-4db8-b7cb-09453785f1ee · outbound

This paper cites Total variation cu toﬀ in birth-and-death chains.

Cutoff for non-negatively curved diffusions Total variation cu toﬀ in birth-and-death chains

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.887820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d6aa3886-ec67-4ee7-9f02-4aca07fc47bc · outbound

This paper cites Concentra- tion of information on discrete groups, 2024.

Cutoff for non-negatively curved diffusions Concentra- tion of information on discrete groups, 2024

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.769177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d66fd2e5-bc8a-4342-8b38-507e56b98143 · outbound

This paper cites Optimal lossless compre ssion: Source varen- tropy and dispersion.

Cutoff for non-negatively curved diffusions Optimal lossless compre ssion: Source varen- tropy and dispersion

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.870274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1f5b6bd1-74a9-4179-9b43-35c6a94dc1c5 · outbound

This paper cites Coupling from the past.

Cutoff for non-negatively curved diffusions Coupling from the past

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.776957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8015510-633a-43bb-910f-1b7c388f1f5c · outbound

This paper cites Aim research workshop on sharp thresholds for mixing times.

Cutoff for non-negatively curved diffusions Aim research workshop on sharp thresholds for mixing times

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.780371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79998855-5122-4bff-9cf7-db59d02a537a · outbound

This paper cites Universality of cutoﬀ for exclusion with reservoirs.

Cutoff for non-negatively curved diffusions Universality of cutoﬀ for exclusion with reservoirs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.849170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 83fd86dc-c6bc-4eeb-b182-600d639e9591 · outbound

This paper cites Cutoﬀ for non-negatively curved Markov chains.

Cutoff for non-negatively curved diffusions Cutoﬀ for non-negatively curved Markov chains

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.788140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5ea448f-9eea-403f-ba15-ba35dfa3e515 · outbound

This paper cites The varentropy criterion is sharp on expanders.

Cutoff for non-negatively curved diffusions The varentropy criterion is sharp on expanders

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T22:43:16.791645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e96cc273-3854-4b9f-8178-32c25cb0fdf4 · outbound

This paper cites Saloﬀ-Coste.

Cutoff for non-negatively curved diffusions Saloﬀ-Coste

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:43:16.824967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation ea70d4ae-356c-4ead-a6dd-0ba97cf4f527 · inbound

A universal cutoff phenomenon for mean-field exchange models cites this paper.

A universal cutoff phenomenon for mean-field exchange models Cutoff for non-negatively curved diffusions

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:24:05.869583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.