Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T12:17:39.848399Z
Paper Citation Record · LEDGER
Spectral Gap for the Stochastic Exchange Model
As of 21 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2504.13533.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T01:01:44.982570Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T01:01:45.282191Z
Reference resolution
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b1d7d73c-d27f-4533-8a58-28e1facbdd91 · outbound
This paper cites Caputo: Uniform Poincar´ e inequalities for unbounded conservative spin systems: the non-interacting case , Stoch.
Spectral Gap for the Stochastic Exchange Model Caputo: Uniform Poincar´ e inequalities for unbounded conservative spin systems: the non-interacting case , Stoch
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:40.074496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a6899891-d810-4c07-95d4-194ad87cf0e8 · outbound
This paper cites Caputo: On the spectral gap of the Kac walk and other binary collision processes , ALEA Lat.
Spectral Gap for the Stochastic Exchange Model Caputo: On the spectral gap of the Kac walk and other binary collision processes , ALEA Lat
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:40.061758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 23c5b2ef-8241-45f0-a254-22e5f04805bd · outbound
This paper cites ´Equations aux D´ eriv´ ees Partielles.
Spectral Gap for the Stochastic Exchange Model ´Equations aux D´ eriv´ ees Partielles
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:40.049535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 82dde5cc-825f-4238-b6c4-f7805dd6b8ec · outbound
This paper cites Carlen, M.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:40.039049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0a0ac38b-4e43-4936-b2bc-c0f18f7c9122 · outbound
This paper cites Carlen, M.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:40.025810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 815889fb-187a-4b06-927c-825918e23818 · outbound
This paper cites an unresolved cited work.
Spectral Gap for the Stochastic Exchange Model Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:17:40.014489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f155427d-b0b8-4b6b-83b8-489428527307 · outbound
This paper cites an unresolved cited work.
Spectral Gap for the Stochastic Exchange Model Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T12:17:40.001196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9ea92a30-2fb4-4cbf-b889-f9cd663676e5 · outbound
This paper cites Carlen, J.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.987400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a06294e4-5a4b-46ad-8d51-d681c052a336 · outbound
This paper cites Gaspard, and T.
Spectral Gap for the Stochastic Exchange Model Gaspard, and T
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.975656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 47629079-4eff-4251-bd99-2b02a3e5b3f1 · outbound
This paper cites Gaspard, and T.
Spectral Gap for the Stochastic Exchange Model Gaspard, and T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.964984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 493a62fb-b9be-4eb2-8fb4-a6585313685a · outbound
This paper cites Giroux and R.
Spectral Gap for the Stochastic Exchange Model Giroux and R
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.955219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 258bc4cf-907e-4053-adda-02cfb3a7c988 · outbound
This paper cites Grigo, K.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.945629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a1f3258c-6825-402e-a36d-c9a833d630cf · outbound
This paper cites Janvresse: Spectral gap for Kac’s model of Boltzmann equation , Ann.
Spectral Gap for the Stochastic Exchange Model Janvresse: Spectral gap for Kac’s model of Boltzmann equation , Ann
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.934967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3cc888ba-a5b7-4cb8-a943-f11b63a76ad8 · outbound
This paper cites Kac: Foundations of kinetic theory , Proc.
Spectral Gap for the Stochastic Exchange Model Kac: Foundations of kinetic theory , Proc
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.923346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation abd30be4-c9c2-42ba-b069-56e206b17355 · outbound
This paper cites Kac: Probability and Related Topics in Physical Sciences, Interscience Publ.
Spectral Gap for the Stochastic Exchange Model Kac: Probability and Related Topics in Physical Sciences, Interscience Publ
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.912839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 18571bcf-c8bf-43c8-909f-535fdab86aab · outbound
This paper cites Sasada: On the Spectral Gap of the Kac Walk and Other Binary Collision Processes on d-Dimensional Lattice, in K.
Spectral Gap for the Stochastic Exchange Model Sasada: On the Spectral Gap of the Kac Walk and Other Binary Collision Processes on d-Dimensional Lattice, in K
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.901658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2e59f8c4-100f-4201-8c40-38c1c5b97174 · outbound
This paper cites Sasada: Spectral gap for stochastic energy exchange model with nonuniformly positive rate function , Ann.
Spectral Gap for the Stochastic Exchange Model Sasada: Spectral gap for stochastic energy exchange model with nonuniformly positive rate function , Ann
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.890923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6bcacec4-0d5d-44b8-9d74-e5857550f555 · outbound
This paper cites Villani: Cercignani’s conjecture is sometimes true and always almost true.
Spectral Gap for the Stochastic Exchange Model Villani: Cercignani’s conjecture is sometimes true and always almost true
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T12:17:39.880019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation ade5b912-a35c-4e25-ba64-bc54bf6d83f3 · inbound
Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs cites this paper.
Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral Gap for the Stochastic Exchange Model
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T01:01:45.290111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.