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Paper Citation Record · LEDGER

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology

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.

pith.paper-citation-record.v1
2605.07231 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-11T01:09:36.830075Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

52 of 52 outbound references displayed

  • verified exact1
  • verified fuzzy33
  • unresolved18
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b1464aa-99f1-4e3a-ae76-1ed4ead09357 · outbound

This paper cites Moessner and J.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Moessner and J

Reference 1

Resolution
verified fuzzy
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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.

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Observation c526f34e-c684-4477-9a17-c352f697bb13 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:06:55.597267Z

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.

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Observation 08a848b1-7e76-4b1c-bea5-65ba147fcc0f · outbound

This paper cites Ozawa, H.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Ozawa, H

Reference 3

Resolution
verified fuzzy
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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.

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Observation de04cc1d-2937-4fc4-81ab-c89c6a30ab22 · outbound

This paper cites Shankar, A.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Shankar, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.140837Z

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.

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Observation 5c1b6dd3-91b7-4dad-84b9-b6289f1c3565 · outbound

This paper cites Murugan and S.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Murugan and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.152051Z

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.

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Observation ec0cfeb5-0f1c-413d-ad75-98e413877ba1 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.144330Z

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.

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Observation f93f6ab9-f044-401f-abde-d36bc144b857 · outbound

This paper cites Sawada, K.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Sawada, K

Reference 7

Resolution
verified fuzzy
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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.

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Observation 0593e6fd-0091-4d29-b654-c1ec980b6696 · outbound

This paper cites Bulk-Boundary Correspondence in Ergodic and Nonergodic One-Dimensional Stochastic Processes.

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

Resolution
verified exact
arxiv_id, observed 2026-05-11T04:40:59.395431Z

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.

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Observation 8c5d82a8-c6b5-4c48-b0ab-a9edb16d7f10 · outbound

This paper cites Agudo-Canalejo and E.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Agudo-Canalejo and E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.132957Z

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.

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Observation e96d9660-25ac-41bc-a8b0-ec32a0121ec4 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.128649Z

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.

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Observation f5a51350-5aea-4322-9e82-01ee24497be6 · outbound

This paper cites Oka and H.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Oka and H

Reference 11

Resolution
verified fuzzy
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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.

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Observation e36645c4-de79-49bc-bcbf-d92c4b0e90f4 · outbound

This paper cites Kitagawa, E.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Kitagawa, E

Reference 12

Resolution
verified fuzzy
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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.

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Observation 04399f59-cfb6-4985-ab15-d5c46d413c94 · outbound

This paper cites Kitagawa, M.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Kitagawa, M

Reference 13

Resolution
verified fuzzy
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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.

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Observation 504303f4-6fb1-46ed-ab14-ac5baa3c8bd8 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:56.965115Z

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.

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Observation 30f89bc2-e651-47d0-b7cf-8296ddcc8f7d · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.056680Z

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.

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Observation 39cbd3b0-10a3-454b-95b2-846ef8b0e871 · outbound

This paper cites Roy and F.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Roy and F

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.956888Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:5b2e943e1749bb4cc2038a9bc7be85c76020b8209525aad4f2c211b972779d10

Observation 4eab08c3-fa1c-4628-8d1c-5b4fd14ffef1 · outbound

This paper cites Harper, R.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Harper, R

Reference 17

Resolution
verified fuzzy
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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.

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Observation c9fa49f1-793b-4985-8f01-4d5d7081a3f1 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:56.960871Z

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.

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Observation af0c35a8-9e9c-43b1-93ed-b506f3fd6ccc · outbound

This paper cites Kawabata, K.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Kawabata, K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.969538Z

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.

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Observation ec8cfa21-945f-4f6c-99ff-ccd7b751fac8 · outbound

This paper cites Ashida, Z.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Ashida, Z

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.061091Z

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.

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Observation db2db8e9-bb82-4922-b5a3-36e6f1bcc6a5 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.108407Z

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.

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Observation e2854e5a-e384-423d-a77e-1a6c3acdbb44 · outbound

This paper cites Okuma and M.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Okuma and M

Reference 22

Resolution
verified fuzzy
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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.

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Observation 82a50604-dc57-440c-af00-b613ed87fbce · outbound

This paper cites Oshima, K.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Oshima, K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.047294Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:ec7d04783a3d91854f42c665776429fbd016416f0fad0618d401854ef20a800f

Observation 0bb61cd7-39e0-44d5-85f7-5364852ef9ac · outbound

This paper cites Xiao and K.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Xiao and K

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.091790Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:a7be5b41b67d81317031e4891bc33497decf664deeca34e7be6e60303c798b95

Observation 4d11d33a-8e4a-4026-808c-10a9f5d23884 · outbound

This paper cites Nakagawa and M.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Nakagawa and M

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.100265Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:3d9fff9cc234a71ea129dbe2bf596537d128b265878da3beb2ed1ce8d7ca89a6

Observation 7e0e318f-7e76-417a-9f40-ce9f0388832b · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.080455Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:751fa30e82531911c4fc70988e434f77ab27b8171fd97cfcef9cfbec53781ba0

Observation 30e1e2e8-41b7-4cbe-9f67-7f0fc9ae96f6 · outbound

This paper cites Gross, V.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Gross, V

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.084048Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:d3ac201b21c335b40cd72efbeb54b5ae9c9efed3f09bf42a0a55b706d08d6d9d

Observation 07d9197e-e458-4412-9092-9e43fb72a138 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.069128Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:1a9dc542810f98dec378ff9065563257cd85965462f247d46a0446a1da91d29b

Observation 19e4df61-9b63-49a9-a5e6-9c63b0fe6d8f · outbound

This paper cites Higashikawa, M.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Higashikawa, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.072717Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:802f2c1bd32236b57779061ece2ccafb51f1f2f712be4c0ad16fa5ce5c3ac189

Observation 5e284475-fa93-4327-a44f-84eabd186dd7 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.076746Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:aa1f9c5613de29c9b993f9ef85e4d8959e3b06dc78f71506980b38ce0e2d8f72

Observation f3c47c13-8a44-43ab-9039-a3706260e75c · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.087820Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:d81f69a0f420d5f37e0a9c2a05f9ae458fe6c89f895c46603610d292c8526c05

Observation 0dd0b68d-7304-452d-b4eb-f9564e2e9fd7 · outbound

This paper cites Toyabe, T.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Toyabe, T

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.095820Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:bcc82f3456bad1633cefa38d8cd36e49f66fcc524c2e296653ee5b46b5bae56c

Observation b6a8d777-74dd-4d87-8a45-7c98bbc39118 · outbound

This paper cites However, the statement about non-Markovianity is unique to stochastic dynamics since unitary quantum dynamics is always memoryless.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.104471Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:f09c3c1414c3ff4583082a6c53f3d9a9b71f721546dcad76bab5f27b086d4cb0

Observation 7a37b20b-a42a-4aed-8508-e1f36b4b54ea · outbound

This paper cites Elfving, Zur Theorie der Markoffschen Ketten, Acta Soc.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Elfving, Zur Theorie der Markoffschen Ketten, Acta Soc

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.112211Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:2175a2a6cd6ba3e291d9c260e8a4facd81207feda96bafd134edba5b39afa132

Observation 6963225e-08ba-47fb-9acd-cb3447952a2f · outbound

This paper cites Kingman, The imbedding problem for finite Markov chains, Z.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.116348Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:1e444cc6b1d607bd6829b6891caf6857f5b7f2c7cd5d9d22a3abcd6407c75464

Observation 153a534f-212c-4a64-808e-9cf9ff155daf · outbound

This paper cites Goodman, An Intrinsic Time for Non-Stationary Fi- nite Markov Chains, Z.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.978221Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:e8a3712f9361a90242cae6dbca4f83611779919a6e68a6ae56a9c46623f2e77a

Observation 4d73894b-c7e9-4ddf-bfb8-46f3f4f2c095 · outbound

This paper cites Davies, Embeddable Markov Matrices, Electronic Journal of Probability15, 1474 (2010).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.981985Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:9bb298c5a82e5436c0ae954dd237922304a5bc228ad35658da2fdf157cfc10d7

Observation 11d235df-a4d4-49ca-b7ad-c73e07c3ce0b · outbound

This paper cites Baake and J.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Baake and J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.985799Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:f0110066f224ff6a922bcf5bdf41944568a7b56c7a1e777342c6539087e647af

Observation 6b65fe6b-1f4f-4a13-a61c-313e710a90c5 · outbound

This paper cites Baake and J.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Baake and J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.989798Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:5a2e14cb8f2ea1c6afc4a206cbc83122e46f99bd2a4e6dcb6ae9a9a7152221cc

Observation 8b05ed91-b7df-498f-bb36-572ffd458060 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:56.997803Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:b42d60f075a97d900e002b7936a27107471ca14b318ea08358be844c2129fc0b

Observation 259ece5f-b497-4e36-911d-83ae5b44345c · outbound

This paper cites Okuma, K.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Okuma, K

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.973712Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:dc77a504ee982493a1a0b95e5c1692d314a51be9190caaf84f6a9a24af3c44f9

Observation b117b6f1-ea47-40da-ae8e-1d3b02c42c62 · outbound

This paper cites Zhang, Z.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Zhang, Z

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.039310Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:62870eade48342bf16e439f74048325969fb67438b7602ad3bb52834a4e0d761

Observation 97175ec3-9bf2-437e-8301-9218ac246a3f · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.120157Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:3ba8ced79697ae9471b58583efcf202b84004dd9b643a17f1e66dfa1d722353a

Observation bece35b3-cca7-433c-bb15-1788269a27ba · outbound

This paper cites Korzekwa and M.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Korzekwa and M

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:56.993496Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:323d8deff6029002b30b7dbfe17ad31d018062649b3db25cd61e889aaa16a409

Observation 9a8c572a-f603-457b-ab1f-b040bc480053 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.013474Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:618a3fb89bb52106581b757d7720a2c764d9e7147a934c74bc1ad851fccced1f

Observation 09f6a11b-3a87-471b-89a0-8425cf083087 · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.017608Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:816f639dcd66f7b958a6156a2fc6357d46da22c33051cf4a375c462501e2b037

Observation 068938f9-e5bc-4e4b-a8c8-a5b88abda0d4 · outbound

This paper cites Seifert,Stochastic Thermodynamics(Cambridge Uni- versity Press, Cambridge, 2025).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.021617Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:7206220e5fc529d75e8c6c3b18029075ce46f2355df0ca569e7f6a2801c1b3c6

Observation 9363cc87-34c1-4e12-9964-f9e20fd4027b · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.030519Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:23bdc50897e6f8e063c4e0342675d567b206d867b8d411755d2c9643f98ee07b

Observation 2cbafc31-4e65-4ec2-a134-bceed960c8ab · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.001638Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:6b4863ead9db9f91965145d3a6d81d443a58ffb09821409562a49112be404952

Observation 276b8415-2078-4715-b4ef-4c3ea792df45 · outbound

This paper cites Gardner and N.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Gardner and N

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.009554Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:bd12c2aa93591f6a87f67cdf668f00a514ab3fe0c46dd64b899ba52f062d5317

Observation f47cc2c4-e665-467c-bf3e-9efe477980ab · outbound

This paper cites an unresolved cited work.

Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-05-16T00:01:57.005509Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:19c2a315d93fcfb1e9f891c2f70df532e1930eb79547a75a6efb5af5e7738af9

Observation 3982fd62-ee11-41cd-bd2d-2727d0b75fad · outbound

This paper cites 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 Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T00:01:57.026263Z

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.

source=pdf_text observed=2026-05-11T01:09:36.830075Z digest=sha256:9bf86215971107390e7e2368a354868f9be27887952bf1a888cdf9793c190d3c

Pith citing papers

No inbound Pith citation observations are available.