Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:15.120736Z
Paper Citation Record · LEDGER
The pseudo-quantum representation of finite reversible Markov chains
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.01253.
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 2026-08-16T06:30:59.297886+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
24 of 24 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b4d65153-a681-4e17-aaba-6b4189a856f5 · outbound
This paper cites Kac,Random walk and the theory of Brownian motion.American Mathematical Monthly 54(1947), 369–391.
The pseudo-quantum representation of finite reversible Markov chains Kac,Random walk and the theory of Brownian motion.American Mathematical Monthly 54(1947), 369–391
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.573419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aabaf785-1880-45a4-a419-9738eea12f3b · outbound
This paper cites Karlin and J.
The pseudo-quantum representation of finite reversible Markov chains Karlin and J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.558852Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42c002e9-657c-4bcf-b610-60ccf6b5d034 · outbound
This paper cites Krawtchouk,Sur une généralisation des polynômes d’Hermite.Comptes Rendus Acad.
The pseudo-quantum representation of finite reversible Markov chains Krawtchouk,Sur une généralisation des polynômes d’Hermite.Comptes Rendus Acad
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.543365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33e295c5-c781-42ff-9272-82398237051d · outbound
This paper cites Schwinger,On Angular Momentum.U.S.
The pseudo-quantum representation of finite reversible Markov chains Schwinger,On Angular Momentum.U.S
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.522853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1fabaf44-a1f7-4c35-b455-8ca9ea5bd34d · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.505816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 182eaf7e-af87-40b2-b921-e68c7e8503b3 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.488830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4ca1f50-ec77-4716-9ec6-e8482897f33b · outbound
This paper cites Aldous and J.
The pseudo-quantum representation of finite reversible Markov chains Aldous and J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.471856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 14bb4a80-5f8c-4b92-adf7-acaf98a61ac1 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.454183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e16b26e7-2445-4dc6-b529-e9d16271b086 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.433752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fb723013-d285-45e2-898a-61714089fb73 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.413839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2180cc9a-efa6-43d2-b7bc-f1862d99dceb · outbound
This paper cites Majorana,Atomi orientati in campo magnetico variabile.Il Nuovo Cimento9(1932), 43–50.
The pseudo-quantum representation of finite reversible Markov chains Majorana,Atomi orientati in campo magnetico variabile.Il Nuovo Cimento9(1932), 43–50
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.395494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65020df2-9c25-448a-9050-c368dc1b520c · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.377174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05326491-bb17-4d98-932b-b25b25c24584 · outbound
This paper cites Bengtsson and K.
The pseudo-quantum representation of finite reversible Markov chains Bengtsson and K
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.360716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 777f82c5-2ea3-4d01-973a-a2618d2656a3 · outbound
This paper cites Bulletin of the Calcutta Mathematical Society37(1945), 81–91.
The pseudo-quantum representation of finite reversible Markov chains Bulletin of the Calcutta Mathematical Society37(1945), 81–91
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.343997Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3a5d5406-933c-4489-ac42-0130156509dc · outbound
This paper cites Bhattacharyya,On a measure of divergence between two statistical populations.Bulletin of the Calcutta Mathematical Society35(1943), 99–109.
The pseudo-quantum representation of finite reversible Markov chains Bhattacharyya,On a measure of divergence between two statistical populations.Bulletin of the Calcutta Mathematical Society35(1943), 99–109
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.326032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6779ffa2-9f3b-4049-8210-8308fbf8f510 · outbound
This paper cites Amari and H.
The pseudo-quantum representation of finite reversible Markov chains Amari and H
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.310260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 26e9dae6-9c3b-4f3a-926f-d2bc171d4653 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.293219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d11a2d74-c6ca-44fa-996b-291e4c4dec37 · outbound
This paper cites Nakahara,Geometry, Topology and Physics.2nd ed., Institute of Physics Publishing (2003).
The pseudo-quantum representation of finite reversible Markov chains Nakahara,Geometry, Topology and Physics.2nd ed., Institute of Physics Publishing (2003)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.273377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae1b368f-2d9a-4bf7-ae40-37c20e968d5f · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.255672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cedffa30-fb72-42e8-92e5-055e511093c8 · outbound
This paper cites Petz,Monotone metrics on matrix spaces.Linear Algebra and its Applications244 (1996), 81–96.
The pseudo-quantum representation of finite reversible Markov chains Petz,Monotone metrics on matrix spaces.Linear Algebra and its Applications244 (1996), 81–96
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.237762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7fbb54bf-fe56-4a6c-a77b-26c15016e2dd · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.213764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1360254a-a82d-48de-a986-ec4b29ccc67a · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.194826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a1eb6491-c28a-415f-94f7-92f75419d365 · outbound
This paper cites an unresolved cited work.
The pseudo-quantum representation of finite reversible Markov chains Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T15:22:15.177068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6899650a-9c8e-4b01-ac5c-335078570064 · outbound
This paper cites Sz.-Nagy, C.
The pseudo-quantum representation of finite reversible Markov chains Sz.-Nagy, C
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:22:15.161045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.