Paper Citation Record · LEDGER

Belavkin-Staszewski Quantum Markov Chains

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2501.09708.

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

pith.paper-citation-record.v1
2501.09708 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:54:57.756071Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:56:13.536031Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T21:56:13.594507Z

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy16
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4be90d7a-b76d-43e7-9f94-506ed1b24a4d · outbound

This paper cites Accardi and A.

Belavkin-Staszewski Quantum Markov Chains Accardi and A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.340104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a101b58e-20dd-48e0-a889-be5f30c3c27b · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.324785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a8bfde3e-902a-4222-8648-dccde019e9b9 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.308771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 24c70d42-8318-4f12-9d08-e89fc26231c4 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.292166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d12069fa-1b78-4f85-bdd6-364e5fbdeb04 · outbound

This paper cites Bluhm and ´A.

Belavkin-Staszewski Quantum Markov Chains Bluhm and ´A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.279871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2d50445-e001-4f9f-9ea1-46bdd5c680a0 · outbound

This paper cites Bluhm, A.

Belavkin-Staszewski Quantum Markov Chains Bluhm, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.268130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b0d6118d-4763-4810-815e-b82b53ab5510 · outbound

This paper cites Bluhm, ´A.

Belavkin-Staszewski Quantum Markov Chains Bluhm, ´A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.255636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 260d98b2-c9ed-47ae-a337-47ab94a08d5b · outbound

This paper cites Quantum Markov Networks and Commuting Hamiltonians.

Belavkin-Staszewski Quantum Markov Chains Quantum Markov Networks and Commuting Hamiltonians

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T19:54:57.636979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aa4e357-a334-4017-99dc-73c6e3234910 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.243156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 43e2a092-0f19-425e-9bd2-a51840c2b3cf · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.230364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 024f3e52-fe27-4017-8094-e55ebf2d0833 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.217091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe3223c7-8a37-4000-9062-8e770e155921 · outbound

This paper cites Fang and H.

Belavkin-Staszewski Quantum Markov Chains Fang and H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.204050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 75211e71-97e1-4233-9dbc-e7c3d268678a · outbound

This paper cites Fawzi and R.

Belavkin-Staszewski Quantum Markov Chains Fawzi and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.190567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ee1d539a-8b9d-4697-a671-8707e6711e6d · outbound

This paper cites Conditional Independence of 1D Gibbs States with Applications to Efficient Learning.

Belavkin-Staszewski Quantum Markov Chains Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:54:57.908748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e0d9a6e6-b45a-4417-83db-12d994e2544e · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.177583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a4f89890-2b69-4c41-badb-48df687763ea · outbound

This paper cites Hayden, R.

Belavkin-Staszewski Quantum Markov Chains Hayden, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.164139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f27230e1-dcd5-414e-90e2-05919b1bafaa · outbound

This paper cites Hiai and M.

Belavkin-Staszewski Quantum Markov Chains Hiai and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.150778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ac8a60f8-5ede-42c3-8efc-9f7dd963c707 · outbound

This paper cites Hiai and D.

Belavkin-Staszewski Quantum Markov Chains Hiai and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.138231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e675820d-6923-406e-a857-d0cc3b74e1bf · outbound

This paper cites Jenˇ cov´ a and D.

Belavkin-Staszewski Quantum Markov Chains Jenˇ cov´ a and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.126945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9792bde4-a745-4482-b43c-fa3c3ec46ae8 · outbound

This paper cites Jencov´ a, D.

Belavkin-Staszewski Quantum Markov Chains Jencov´ a, D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.115073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9ff29044-c274-449d-9ef5-144a8e8b11bf · outbound

This paper cites Junge, R.

Belavkin-Staszewski Quantum Markov Chains Junge, R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.101891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e4cacaff-e9b5-4850-9290-e131b63143dd · outbound

This paper cites Quantum Approximate Markov Chains are Thermal.

Belavkin-Staszewski Quantum Markov Chains Quantum Approximate Markov Chains are Thermal

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T19:54:57.696674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 538cb4df-eb3b-4352-a2b3-7db94e00da5b · outbound

This paper cites Kuwahara.

Belavkin-Staszewski Quantum Markov Chains Kuwahara

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T19:54:57.702074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4eed47e4-f553-439d-b668-8bcfaa256071 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.089134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0791efeb-8c7e-4512-a30b-dba37ead2725 · outbound

This paper cites Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay.

Belavkin-Staszewski Quantum Markov Chains Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T19:54:57.709965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f29ba26-ece6-4999-b6e7-cabbb90aa88f · outbound

This paper cites Matsumoto.

Belavkin-Staszewski Quantum Markov Chains Matsumoto

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.076365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e08be533-539e-4f02-ba0d-ae92873d7aa1 · outbound

This paper cites Mosonyi and D.

Belavkin-Staszewski Quantum Markov Chains Mosonyi and D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.062659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cd578f66-d846-4266-bce0-268b1c329bda · outbound

This paper cites Ohya and D.

Belavkin-Staszewski Quantum Markov Chains Ohya and D

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:58.048486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 663365ce-9032-41e4-8245-791619b24a9d · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.031500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a149f943-97f3-4474-a2e7-415ae317fcb7 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.017685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7d912b57-3a56-465f-94f8-c0fa1be86c28 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:58.002506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0424c050-a0c4-4799-82a1-323f9e240fad · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:57.989657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 310a48e3-10e6-414a-ac3e-326ee32d6df8 · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:57.977808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c85487c6-0d5f-440b-bd86-df1ea5509645 · outbound

This paper cites Sutter, M.

Belavkin-Staszewski Quantum Markov Chains Sutter, M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:54:57.962865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6d3f7c98-4ba8-4dc1-b427-20b8b1f28b6b · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:57.947214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 83832ef9-bab1-455a-8314-6d484edab93b · outbound

This paper cites an unresolved cited work.

Belavkin-Staszewski Quantum Markov Chains Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:54:57.934290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 97e67896-5ccf-4853-8620-5dabcc04cb1d · inbound

Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay cites this paper.

Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay Belavkin-Staszewski Quantum Markov Chains

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:56:13.601136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.