Paper Citation Record · LEDGER

The pseudo-quantum representation of finite reversible Markov chains

As of 19 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.

pith.paper-citation-record.v1
2608.01253 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:15.120736Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.