Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-11T01:09:36.830075Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2605.07231.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-11T01:09:36.830075Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9b1464aa-99f1-4e3a-ae76-1ed4ead09357 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Moessner and J
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c526f34e-c684-4477-9a17-c352f697bb13 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 08a848b1-7e76-4b1c-bea5-65ba147fcc0f · outbound
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation de04cc1d-2937-4fc4-81ab-c89c6a30ab22 · outbound
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5c1b6dd3-91b7-4dad-84b9-b6289f1c3565 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Murugan and S
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ec0cfeb5-0f1c-413d-ad75-98e413877ba1 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f93f6ab9-f044-401f-abde-d36bc144b857 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0593e6fd-0091-4d29-b654-c1ec980b6696 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Bulk-Boundary Correspondence in Ergodic and Nonergodic One-Dimensional Stochastic Processes
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8c5d82a8-c6b5-4c48-b0ab-a9edb16d7f10 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Agudo-Canalejo and E
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e96d9660-25ac-41bc-a8b0-ec32a0121ec4 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f5a51350-5aea-4322-9e82-01ee24497be6 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e36645c4-de79-49bc-bcbf-d92c4b0e90f4 · outbound
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 04399f59-cfb6-4985-ab15-d5c46d413c94 · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 504303f4-6fb1-46ed-ab14-ac5baa3c8bd8 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 30f89bc2-e651-47d0-b7cf-8296ddcc8f7d · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 39cbd3b0-10a3-454b-95b2-846ef8b0e871 · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4eab08c3-fa1c-4628-8d1c-5b4fd14ffef1 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c9fa49f1-793b-4985-8f01-4d5d7081a3f1 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation af0c35a8-9e9c-43b1-93ed-b506f3fd6ccc · outbound
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ec8cfa21-945f-4f6c-99ff-ccd7b751fac8 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation db2db8e9-bb82-4922-b5a3-36e6f1bcc6a5 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e2854e5a-e384-423d-a77e-1a6c3acdbb44 · outbound
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 82a50604-dc57-440c-af00-b613ed87fbce · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0bb61cd7-39e0-44d5-85f7-5364852ef9ac · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4d11d33a-8e4a-4026-808c-10a9f5d23884 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Nakagawa and M
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7e0e318f-7e76-417a-9f40-ce9f0388832b · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 30e1e2e8-41b7-4cbe-9f67-7f0fc9ae96f6 · outbound
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 07d9197e-e458-4412-9092-9e43fb72a138 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 19e4df61-9b63-49a9-a5e6-9c63b0fe6d8f · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Higashikawa, M
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5e284475-fa93-4327-a44f-84eabd186dd7 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f3c47c13-8a44-43ab-9039-a3706260e75c · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0dd0b68d-7304-452d-b4eb-f9564e2e9fd7 · outbound
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b6a8d777-74dd-4d87-8a45-7c98bbc39118 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology However, the statement about non-Markovianity is unique to stochastic dynamics since unitary quantum dynamics is always memoryless
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7a37b20b-a42a-4aed-8508-e1f36b4b54ea · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Elfving, Zur Theorie der Markoffschen Ketten, Acta Soc
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6963225e-08ba-47fb-9acd-cb3447952a2f · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Kingman, The imbedding problem for finite Markov chains, Z
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 153a534f-212c-4a64-808e-9cf9ff155daf · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Goodman, An Intrinsic Time for Non-Stationary Fi- nite Markov Chains, Z
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4d73894b-c7e9-4ddf-bfb8-46f3f4f2c095 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Davies, Embeddable Markov Matrices, Electronic Journal of Probability15, 1474 (2010)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 11d235df-a4d4-49ca-b7ad-c73e07c3ce0b · outbound
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6b65fe6b-1f4f-4a13-a61c-313e710a90c5 · outbound
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8b05ed91-b7df-498f-bb36-572ffd458060 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 259ece5f-b497-4e36-911d-83ae5b44345c · outbound
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b117b6f1-ea47-40da-ae8e-1d3b02c42c62 · outbound
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 97175ec3-9bf2-437e-8301-9218ac246a3f · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation bece35b3-cca7-433c-bb15-1788269a27ba · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Korzekwa and M
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9a8c572a-f603-457b-ab1f-b040bc480053 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 09f6a11b-3a87-471b-89a0-8425cf083087 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 068938f9-e5bc-4e4b-a8c8-a5b88abda0d4 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Seifert,Stochastic Thermodynamics(Cambridge Uni- versity Press, Cambridge, 2025)
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9363cc87-34c1-4e12-9964-f9e20fd4027b · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2cbafc31-4e65-4ec2-a134-bceed960c8ab · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 276b8415-2078-4715-b4ef-4c3ea792df45 · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Gardner and N
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f47cc2c4-e665-467c-bf3e-9efe477980ab · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3982fd62-ee11-41cd-bd2d-2727d0b75fad · outbound
Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
No inbound Pith citation observations are available.