Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:57:50.018905Z
Paper Citation Record · LEDGER
A system of Schr\"odinger's problems and functional equations
As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.00719.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
40 of 40 outbound references displayed
- verified exact0
- verified fuzzy28
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5fd98ffa-77a1-4df1-acc7-4aff78139c0f · outbound
This paper cites The Knothe-Rosenblatt distance and its induced topology.
A system of Schr\"odinger's problems and functional equations The Knothe-Rosenblatt distance and its induced topology
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:57:49.838223Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 455ce694-72e7-4673-aca0-09fa59c1fafc · outbound
This paper cites Bernstein, Sur les liaisons entre les grandeurs al´ etoires , Verh.
A system of Schr\"odinger's problems and functional equations Bernstein, Sur les liaisons entre les grandeurs al´ etoires , Verh
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.627137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 57b36675-8f95-4abd-b930-69d1b3850d74 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.612873Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 917b6f79-2f8a-43dd-bd60-04a5fd7a749a · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.598694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b7135dba-2884-4b15-93ad-edd3de573ce6 · outbound
This paper cites Carlier, F.
A system of Schr\"odinger's problems and functional equations Carlier, F
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.583882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b760a6ed-3435-4caf-9bb9-369755cbb2eb · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.569416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3e83b3bf-2d3e-48d9-b339-5079833ecc7d · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.554930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b4fb0e64-6de2-4d77-adcf-020e4e5674c1 · outbound
This paper cites Csiszar, I-divergence geometry of probability distributions and mini- mization problems, Ann.
A system of Schr\"odinger's problems and functional equations Csiszar, I-divergence geometry of probability distributions and mini- mization problems, Ann
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.540753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4255fdb4-2d3e-4f9a-b78e-0df1b8766101 · outbound
This paper cites Dai Pra, A stochastic control approach to reciprocal diffusion pro- cesses, Appl.
A system of Schr\"odinger's problems and functional equations Dai Pra, A stochastic control approach to reciprocal diffusion pro- cesses, Appl
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.526590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 386a4ae4-e6cd-49ae-948e-2faa8842c1e6 · outbound
This paper cites Dall’Aglio, Sugli estremi dei momenti delle funzioni di ripartizione doppia, Ann.
A system of Schr\"odinger's problems and functional equations Dall’Aglio, Sugli estremi dei momenti delle funzioni di ripartizione doppia, Ann
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.512223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c1cf2128-60dd-4e0a-9bd5-7503a235b9f2 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.497611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 308b4463-1d02-45b4-8a43-079c12bb21ad · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.483149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4c3504d7-41a4-47fd-94a8-904edd71edf7 · outbound
This paper cites F¨ ollmer,Random fields and diffusion processes , in ´Ecole d’ ´Et´ e de Probabilit´ es de Saint-Flour XV–XVII, 1985–87, Lecture Notes in Math.
A system of Schr\"odinger's problems and functional equations F¨ ollmer,Random fields and diffusion processes , in ´Ecole d’ ´Et´ e de Probabilit´ es de Saint-Flour XV–XVII, 1985–87, Lecture Notes in Math
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.468725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8b3eb052-78f6-4478-83a2-6eac23a1b717 · outbound
This paper cites Fortet, R´ esolution d’un Syst` eme d’´ equations de M.
A system of Schr\"odinger's problems and functional equations Fortet, R´ esolution d’un Syst` eme d’´ equations de M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.454103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9a1787a7-29a4-4526-bf75-9dfd19e61a57 · outbound
This paper cites Ikeda and S.
A system of Schr\"odinger's problems and functional equations Ikeda and S
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.439616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c216d47b-5c26-4678-b83c-628dcfe2fafb · outbound
This paper cites Jamison, Reciprocal processes , Z.
A system of Schr\"odinger's problems and functional equations Jamison, Reciprocal processes , Z
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.425013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 189baa61-fb34-403d-9724-77f0d80a0999 · outbound
This paper cites Jamison, The Markov process of Schr¨ odinger, Z.
A system of Schr\"odinger's problems and functional equations Jamison, The Markov process of Schr¨ odinger, Z
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.410772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 19348250-ba85-4dab-bfb8-46b081f40097 · outbound
This paper cites Kamijima, A.
A system of Schr\"odinger's problems and functional equations Kamijima, A
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.396388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 19133f4c-0ded-4ed6-8592-c1f38fc3756e · outbound
This paper cites Knothe, Contributions to the theory of convex bodies , Michigan Mathematical J., 4 (1957), pp.
A system of Schr\"odinger's problems and functional equations Knothe, Contributions to the theory of convex bodies , Michigan Mathematical J., 4 (1957), pp
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.380591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 39b87a75-91b7-49da-97db-73f221dcccb2 · outbound
This paper cites L´ eonard,From the Schr¨ odinger problem to the Monge–Kantorovich problem, J.
A system of Schr\"odinger's problems and functional equations L´ eonard,From the Schr¨ odinger problem to the Monge–Kantorovich problem, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.366075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f085229d-184f-47e4-bd83-7a168fbbef09 · outbound
This paper cites L´ eonard,A survey of the Schr¨ odinger problem and some of its con- nections with optimal transport , Special Issue on Optimal Transport and Applications.
A system of Schr\"odinger's problems and functional equations L´ eonard,A survey of the Schr¨ odinger problem and some of its con- nections with optimal transport , Special Issue on Optimal Transport and Applications
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.351855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 706715db-7054-42e5-97fe-a6b3d212a1ec · outbound
This paper cites L´ evy, Th´ eorie de l’Addition des Variables Al´ eatoires, Gauthier- Villars, Paris, 1937.
A system of Schr\"odinger's problems and functional equations L´ evy, Th´ eorie de l’Addition des Variables Al´ eatoires, Gauthier- Villars, Paris, 1937
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.338291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 151ed5c6-6b55-49d8-9c65-ca31ae95b2b9 · outbound
This paper cites Mikami, Monge’s problem with a quadratic cost by the zero-noise limit of h-path processes , Probab.
A system of Schr\"odinger's problems and functional equations Mikami, Monge’s problem with a quadratic cost by the zero-noise limit of h-path processes , Probab
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.324121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9525de2a-4f03-451b-8573-f00eaa400588 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.309867Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f9c214df-1494-4866-a8e1-112975a49d95 · outbound
This paper cites Mikami, A characterization of the Knothe–Rosenblatt processes by a convergence result , SIAM J.
A system of Schr\"odinger's problems and functional equations Mikami, A characterization of the Knothe–Rosenblatt processes by a convergence result , SIAM J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.295837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de0f9b85-8da8-4c94-8353-b82d5beeb6e8 · outbound
This paper cites Mikami, Regularity of Schr¨ odinger’s functional equation in the weak topology and moment measures , J.
A system of Schr\"odinger's problems and functional equations Mikami, Regularity of Schr¨ odinger’s functional equation in the weak topology and moment measures , J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.281977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 925ce4cf-8781-408d-bb06-21563af71849 · outbound
This paper cites Mikami, Stochastic Optimal Transportation: Stochastic Control with Fixed Marginals, SpringerBriefs in Mathematics, Springer , Sin- gapore, 2021.
A system of Schr\"odinger's problems and functional equations Mikami, Stochastic Optimal Transportation: Stochastic Control with Fixed Marginals, SpringerBriefs in Mathematics, Springer , Sin- gapore, 2021
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.267878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 545e734e-1d9a-4906-bc19-74269739c234 · outbound
This paper cites Mikami and M.
A system of Schr\"odinger's problems and functional equations Mikami and M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.253900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6755b329-a0e7-4d18-9091-a4a68fa505a9 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.240271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a4a64a9c-c076-4472-95d2-7da1dba83a04 · outbound
This paper cites Peyr´ e and M.
A system of Schr\"odinger's problems and functional equations Peyr´ e and M
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.226299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 16c84824-af58-44b8-9837-6a3befb8253a · outbound
This paper cites Rachev and L.
A system of Schr\"odinger's problems and functional equations Rachev and L
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.211488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4bf7cce4-c7ef-4ce8-9c49-d31b2945e845 · outbound
This paper cites Rosenblatt, Remarks on a multivariate transformation , Annals of Mathematical Statistics, 23 (1952), pp.
A system of Schr\"odinger's problems and functional equations Rosenblatt, Remarks on a multivariate transformation , Annals of Mathematical Statistics, 23 (1952), pp
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.197252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 49d23469-4d09-47b7-98c4-68f33d807799 · outbound
This paper cites R¨ uschendorf and W.
A system of Schr\"odinger's problems and functional equations R¨ uschendorf and W
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.183512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a8693772-5ee0-461c-91f6-bf5c6ed9f4fb · outbound
This paper cites On the Reversal of the Laws of Nature.
A system of Schr\"odinger's problems and functional equations On the Reversal of the Laws of Nature
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.168510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 29e7892e-eb22-46d9-8076-fb92a9c424df · outbound
This paper cites Schr¨ odinger,Th´ eorie relativiste de l’electron et l’interpr´ etation de la m´ ecanique quantique, Ann.
A system of Schr\"odinger's problems and functional equations Schr¨ odinger,Th´ eorie relativiste de l’electron et l’interpr´ etation de la m´ ecanique quantique, Ann
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.152945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6dfd3db3-6962-4b80-9c0a-0cf2ea91038b · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.134700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b40a3748-268a-4c43-8dcf-3030513c5876 · outbound
This paper cites Talagrand, Transportation cost for Gaussian and other product mea- sures, Geom.
A system of Schr\"odinger's problems and functional equations Talagrand, Transportation cost for Gaussian and other product mea- sures, Geom
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.117946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af9397e3-e07c-4534-899e-f6e5ae56adc2 · outbound
This paper cites Villani, Topics in optimal transportation, Providence, Amer.
A system of Schr\"odinger's problems and functional equations Villani, Topics in optimal transportation, Providence, Amer
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:57:50.102293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9026ae79-220c-4dcd-be0f-c2b8adca2e56 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.086200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b49e5a17-c0c5-4000-9287-4eab4f42eb13 · outbound
This paper cites an unresolved cited work.
A system of Schr\"odinger's problems and functional equations Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:57:50.070835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.