Paper Citation Record · LEDGER

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2601.01273.

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

pith.paper-citation-record.v1
2601.01273 v3

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:07:47.892576Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T18:18:06.701730Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:52:38.085371Z

Reference resolution

48 of 48 outbound references displayed

verified exact0
verified fuzzy0
unresolved48
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86bca148-906c-4a9a-b4fa-d334992f46a6 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.243344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88751136-3a98-4f71-834e-44c7a103000a · outbound

This paper cites IV, following [25] and later taking the conventions of [26].

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport IV, following [25] and later taking the conventions of [26]

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.384680Z

Source-reported events for the cited work

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Observation 988c3482-5825-453c-8635-bfbee8cb81fe · outbound

This paper cites IV is a special case of the met- ric for probability transport on finite graphs [26–28, 44].

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport IV is a special case of the met- ric for probability transport on finite graphs [26–28, 44]

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.475766Z

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Observation a12ab65d-94e3-402f-b80b-204224cd8a7f · outbound

This paper cites Weinhold, Metric geometry of equilibrium thermody- namics, J.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Weinhold, Metric geometry of equilibrium thermody- namics, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.620492Z

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Observation e11e9cea-ff66-4b55-aa8a-d5729d6d1881 · outbound

This paper cites Salamon and R.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Salamon and R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.801069Z

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Observation 72c93e47-753d-4027-8e55-29bd584a40dd · outbound

This paper cites Ruppeiner, Riemannian geometry in thermodynamic fluctuation theory, Rev.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Ruppeiner, Riemannian geometry in thermodynamic fluctuation theory, Rev

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:44.965278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3298f6dc-b105-4e96-b847-3fe34beeaaed · outbound

This paper cites Ito, Stochastic thermodynamic interpretation of infor- mation geometry, Phys.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Ito, Stochastic thermodynamic interpretation of infor- mation geometry, Phys

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.079228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc370ee9-394e-48ea-bde1-0b5d43efa1cf · outbound

This paper cites Dechant, S.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Dechant, S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.242577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a499c524-73ca-4e55-acfd-f166473cbee2 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.353502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17a1e1dc-4da4-41a4-aa74-82d9d4c62047 · outbound

This paper cites Zhong and M.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Zhong and M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.463962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 401afaf6-bf0a-47b6-b299-e5c40f581752 · outbound

This paper cites Random Walks and Electric Networks.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Random Walks and Electric Networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.575527Z

Source-reported events for the cited work

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Observation 82ec2686-d01f-4bd8-ae71-e005fe0db8c4 · outbound

This paper cites Ghosh, S.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Ghosh, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.658798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92f4acc0-e198-4ce9-830b-a304cadb2d36 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.684522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5338c31-cdc4-48fa-9921-a81021b09aac · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.797130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdbc5710-e29f-4bff-ae37-0dd6ce880e37 · outbound

This paper cites Fitch, Effective resistance preserving directed graph symmetrization, SIAM J.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Fitch, Effective resistance preserving directed graph symmetrization, SIAM J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.907171Z

Source-reported events for the cited work

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Observation d7499c70-2d08-4a25-b89d-b583dc0599be · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:45.983036Z

Source-reported events for the cited work

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Observation 2f6e1b02-5724-4f3a-a8a3-c46c253363f7 · outbound

This paper cites Commuting time geometry of ergodic Markov chains.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Commuting time geometry of ergodic Markov chains

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.054178Z

Source-reported events for the cited work

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Observation e2482b21-7d91-4d53-876d-3ac065a804d2 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.168471Z

Source-reported events for the cited work

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Observation 520d31b4-ef6a-40d2-b41a-740f50449046 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.258532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61171a5d-bae5-404b-8774-9ce9d27bbb05 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.299814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e90b255b-21e9-4647-a3ef-b8a101642f4c · outbound

This paper cites Mirzaev and J.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Mirzaev and J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.346126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a161caa3-7504-4c03-bf8c-dde098f2412a · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.369440Z

Source-reported events for the cited work

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Observation c027d682-1c8c-41d9-9f5e-bfdb183c25c0 · outbound

This paper cites Yadav and K.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Yadav and K

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.411115Z

Source-reported events for the cited work

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Observation f4f7b91d-5046-4718-b997-9d1ec6b69e25 · outbound

This paper cites Coolen-Schrijner and E.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Coolen-Schrijner and E

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.434735Z

Source-reported events for the cited work

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Observation addd0cef-17cc-4395-b0bd-86efaafdf9db · outbound

This paper cites Van Vu and K.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Van Vu and K

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.577254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8d273ec-e5f9-40d6-834f-1e9b0225d638 · outbound

This paper cites Benamou and Y.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Benamou and Y

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.680845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2aa4969-8c88-4e7b-b581-c8c5f9167183 · outbound

This paper cites Otto, The geometry of dissipative evolution equations: 11 The porous medium equation, Commun.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Otto, The geometry of dissipative evolution equations: 11 The porous medium equation, Commun

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.753737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81891b07-c69e-4350-bebd-10f689c04720 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.826704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 551b9762-5641-4b94-8330-190c9d4307be · outbound

This paper cites Maas, Gradient flows of the entropy for finite Markov chains, J.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Maas, Gradient flows of the entropy for finite Markov chains, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.894624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3385e53-567b-41d9-8ef5-02a6f39dab4f · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:46.968957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8d4ddec-1fa6-4ff7-987e-d0480a6f71c3 · outbound

This paper cites Li, Transport information geometry: Riemannian cal- culus on probability simplex, Inf.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Li, Transport information geometry: Riemannian cal- culus on probability simplex, Inf

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.068733Z

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Unavailable: canonical work link unavailable.

Observation 2cb35af8-9d33-4c04-8e54-6f97981482b5 · outbound

This paper cites Wang, Classical Multidimensional Scaling, inGeomet- ric Structure of High-Dimensional Data and Dimension- ality Reduction(Springer Berlin Heidelberg, Berlin, Hei- delberg, 2012) pp.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Wang, Classical Multidimensional Scaling, inGeomet- ric Structure of High-Dimensional Data and Dimension- ality Reduction(Springer Berlin Heidelberg, Berlin, Hei- delberg, 2012) pp

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.168481Z

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Observation 2050fd4b-a006-4cbf-9954-365d74483d7e · outbound

This paper cites Zwanzig, Dynamical disorder: Passage through a fluc- tuating bottleneck, J.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Zwanzig, Dynamical disorder: Passage through a fluc- tuating bottleneck, J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.248480Z

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Unavailable: canonical work link unavailable.

Observation cb6efbf4-a1fa-43d8-b5c9-6a73ac053711 · outbound

This paper cites Chakrabarti and B.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Chakrabarti and B

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.280616Z

Source-reported events for the cited work

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Observation 8caccd68-5c90-4950-bf57-8d95c19b3f25 · outbound

This paper cites Mandal and C.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Mandal and C

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.323597Z

Source-reported events for the cited work

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Observation 9745b51d-1cd2-49bd-b459-b388e4df22d3 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.344358Z

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Observation 0af9636c-1549-4920-b81a-4da67f719464 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.397149Z

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Observation 102e6618-d267-45b5-bf99-f67a4ea59326 · outbound

This paper cites Dorfler and F.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Dorfler and F

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.407992Z

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Observation bf3e6664-174d-48c4-8a00-4c5233b31f47 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.463376Z

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Observation d616a22f-16b8-44ac-b97d-d6c7c89a2ae1 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.491410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01651eb0-5b82-4a6d-8e7d-3b7b96b0613f · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.555943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ae55544-debc-46c6-b68b-476e9af21b14 · outbound

This paper cites No´ e, R.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport No´ e, R

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.621514Z

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Observation 2c2d4103-931f-4a6d-9baf-3f80e9230cb9 · outbound

This paper cites Maes, Local detailed balance, SciPost Phys.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Maes, Local detailed balance, SciPost Phys

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.659705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73a7b2a7-dd20-4d5d-8c87-3da095cfa136 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.717565Z

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Unavailable: canonical work link unavailable.

Observation 18614c97-c224-4f26-86e8-9b2d0656d18b · outbound

This paper cites Seabrook and L.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Seabrook and L

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.743504Z

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Unavailable: canonical work link unavailable.

Observation 19e9184a-dd66-4989-b95d-9eb2fb16f465 · outbound

This paper cites Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Rev.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Rev

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.800557Z

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Observation a3714f0e-d012-479e-a569-5a1797e7ff44 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.832416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06f79672-ef33-4a97-8d2e-d0032ff1d6e0 · outbound

This paper cites an unresolved cited work.

Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T13:07:47.892576Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 2252cfd2-d1e3-49ea-ad26-0272e42e7239 · inbound

Wasserstein-2 gradient flows and the geometry of entropy production in classical and quantum stochastic thermodynamics cites this paper.

Wasserstein-2 gradient flows and the geometry of entropy production in classical and quantum stochastic thermodynamics Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-31T02:06:15.348052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.