Paper Citation Record · LEDGER

Retention Profiles and KL Contraction Bounds in Finite Markov Chains

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2606.27073.

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

pith.paper-citation-record.v1
2606.27073 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T03:41:39.786135Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation ed8d210e-f19a-477c-ad1c-d09a3e693bbc · outbound

This paper cites Ahlswede and P.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Ahlswede and P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 0056fb5f-047e-404f-b3d4-0c1df32002c0 · outbound

This paper cites Amari,Information Geometry and Its Applications, Applied Mathematical Sciences, vol.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Amari,Information Geometry and Its Applications, Applied Mathematical Sciences, vol

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 52d5971f-6ed3-40de-adce-678488f11801 · outbound

This paper cites On Maximal Correlation, Hypercontractivity, and the Data Processing Inequality studied by Erkip and Cover.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains On Maximal Correlation, Hypercontractivity, and the Data Processing Inequality studied by Erkip and Cover

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:29:54.133416Z

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Observation df49a7df-768a-4722-816a-af98c1fedf73 · outbound

This paper cites Bhatia and C.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Bhatia and C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 1ea79ec8-a404-4229-85dd-6a680905a170 · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 61e7a329-9b9f-4419-ad21-8c616a935a79 · outbound

This paper cites Entropy inequalities for random walks and permutations.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Entropy inequalities for random walks and permutations

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.130725Z

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 4dd0b333-b335-4b94-9f2a-7b06ae07cb43 · outbound

This paper cites Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.133153Z

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 e62d8398-8add-41bc-8179-1afa09e81db6 · outbound

This paper cites Entropy and curvature: beyond the Peres-Tetali conjecture.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Entropy and curvature: beyond the Peres-Tetali conjecture

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.138702Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 25732076-5d56-40f0-a31b-3c3133021564 · outbound

This paper cites Entropy factorization via curvature.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Entropy factorization via curvature

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.141206Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 88d33ee9-52f6-481e-be1a-d78e5f1c3d08 · outbound

This paper cites Cesi,Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields, Probab.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Cesi,Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields, Probab

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 567d1775-14d4-425c-8e68-2642b5b1d640 · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation f477845b-6e5f-4560-af80-f53cad461f95 · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 19263f50-8921-4b9f-8418-8e9fd0b6654e · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation ed32d251-8e9e-4398-9f73-4cea3e9f3d21 · outbound

This paper cites Csiszár and P.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Csiszár and P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

Source-reported events for the cited work

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Observation 9851c711-3940-4804-85eb-2a78db01f428 · outbound

This paper cites Diaconis and L.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Diaconis and L

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78fccf44-ca5d-49ae-b527-74ca0938f2ab · outbound

This paper cites Gross,Logarithmic Sobolev inequalities, Amer.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Gross,Logarithmic Sobolev inequalities, Amer

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 68d0d92a-06f2-4a2c-a17c-a11f35495229 · outbound

This paper cites Divergence Inequalities with Applications in Ergodic Theory.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Divergence Inequalities with Applications in Ergodic Theory

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.147911Z

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Observation 365ac290-7c98-4d3f-8b21-faf451273343 · outbound

This paper cites A relation between isoperimetry and total variation decay with applications to graphs of non-negative Ollivier-Ricci curvature.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains A relation between isoperimetry and total variation decay with applications to graphs of non-negative Ollivier-Ricci curvature

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.159887Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 73a3fb24-93d9-4f2b-a058-e737d7988d58 · outbound

This paper cites Bakry-\'Emery calculus for entropic curvature, new diameter estimates, and spectral gaps.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Bakry-\'Emery calculus for entropic curvature, new diameter estimates, and spectral gaps

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.136076Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52abfc20-cc52-4aed-a1f5-e8d3f340d32b · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation a56f15b7-87d6-434f-81a5-047e81391b7f · outbound

This paper cites an unresolved cited work.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 30897f89-3163-46b1-90aa-33c7e96959e5 · outbound

This paper cites Linear Bounds between Contraction Coefficients for $f$-Divergences.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Linear Bounds between Contraction Coefficients for $f$-Divergences

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:29:54.143964Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 491e4b23-574c-4695-b724-bf3429b0f3b8 · outbound

This paper cites Miclo,On hyperboundedness and spectrum of Markov operators, Invent.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Miclo,On hyperboundedness and spectrum of Markov operators, Invent

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16ec624a-5ace-4094-a098-8b08d535f9fd · outbound

This paper cites Montenegro and P.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Montenegro and P

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Unavailable: canonical work link unavailable.

Observation 9c7c1b2d-5fa6-404b-bfa4-dad43ffc44e2 · outbound

This paper cites Mixing time and expansion of non-negatively curved Markov chains.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Mixing time and expansion of non-negatively curved Markov chains

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.124422Z

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 3866fe44-2555-4b48-82ee-77db6b111b96 · outbound

This paper cites Strong data processing constant is achieved by binary inputs.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Strong data processing constant is achieved by binary inputs

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.157057Z

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 a644afdd-c16d-4d0d-aebe-c8dfb3c8d720 · outbound

This paper cites Contractive coupling rates and curvature lower bounds for Markov chains.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Contractive coupling rates and curvature lower bounds for Markov chains

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.162668Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d3ec1686-2ceb-4cdb-8145-889d20eb910d · outbound

This paper cites Polyanskiy and Y.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Polyanskiy and Y

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Observation 037e43f5-d3b7-4f00-a97a-08da3f2c8211 · outbound

This paper cites Polyanskiy and Y.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Polyanskiy and Y

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Unavailable: canonical work link unavailable.

Observation 869935ce-3b66-4251-a5b5-9817f5ae82ce · outbound

This paper cites Raginsky,Strong data processing inequalities andΦ-Sobolev inequalities for discrete channels, IEEE Trans.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Raginsky,Strong data processing inequalities andΦ-Sobolev inequalities for discrete channels, IEEE Trans

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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Unavailable: canonical work link unavailable.

Observation 4d315f63-436e-4365-87e5-56987e159f2c · outbound

This paper cites Cutoff for non-negatively curved Markov chains.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Cutoff for non-negatively curved Markov chains

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.154207Z

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 578bc318-ce21-4d8a-8a3a-a024d38a50d1 · outbound

This paper cites Salez,Hyper-contractivity and entropy decay in discrete time, arXiv:2602.17305, 2026.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Salez,Hyper-contractivity and entropy decay in discrete time, arXiv:2602.17305, 2026

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.151270Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 57c79b1f-728b-4ffa-8a1b-b3e3ef79f56a · outbound

This paper cites Sinclair and M.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Sinclair and M

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-26T03:41:39.786135Z

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