Paper Citation Record · LEDGER

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2501.09087.

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

pith.paper-citation-record.v1
2501.09087 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:25:00.670036Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:19:49.507917Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:19:54.820280Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy17
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66ca684b-fa85-4a02-873b-278f51fb5624 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:01.159913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f68b53a-1ea4-4cc1-8640-6232fe4973fc · outbound

This paper cites kinetic friction.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks kinetic friction

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.173974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1161bd40-00ac-438f-a853-7a25ce229a1d · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:01.133172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97da4c28-2ced-49ec-8834-a1ad2f242aa5 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:01.146897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e27b1ad2-259c-4006-bfac-2918b8167c6d · outbound

This paper cites Keller and C.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Keller and C

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T20:25:00.565497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fa48b42-5167-42bf-8880-4afc4d5a9072 · outbound

This paper cites Svoboda, P.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Svoboda, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.119789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e552747-a985-484f-87c1-24f8cb429d73 · outbound

This paper cites Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines, Rep.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines, Rep

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.083598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9772f632-6a98-47c3-8554-3518a7845e87 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:01.097444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 75472695-7231-44d3-b41a-14d47b33e834 · outbound

This paper cites Roldán, I.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Roldán, I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.052650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 01f3256a-1550-4065-babb-15d7da73832a · outbound

This paper cites Zhang, V.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Zhang, V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.068795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3e766578-142d-4c49-adbe-449489652f46 · outbound

This paper cites Qian and X.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Qian and X

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.016717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1c85939b-03a4-498f-acd7-154539c708e6 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:01.037322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1b73a7b8-6605-464a-893d-445d7c04c814 · outbound

This paper cites Fersht,Enzyme Structure and Mechanism(W.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Fersht,Enzyme Structure and Mechanism(W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.986661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b0ef294a-fec9-44b7-b8d7-af96453e156a · outbound

This paper cites Ge, Waiting cycle times and generalized Haldane equality in the steady-state cycle kinetics of single enzymes, J.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Ge, Waiting cycle times and generalized Haldane equality in the steady-state cycle kinetics of single enzymes, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.000609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 62e56e0f-3dc5-4c53-a8a2-ba49cc94d82f · outbound

This paper cites Wu and J.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Wu and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.946402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ce012848-174c-45c0-8c00-c97fed8f76fa · outbound

This paper cites Cao, Michaelis–Menten equation and detailed balance in enzymatic networks, J.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Cao, Michaelis–Menten equation and detailed balance in enzymatic networks, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.964771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a671dcb-6bd0-4253-ae85-d4171157c605 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.906161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7bf06475-ea6c-4bd2-aa38-70a614ea32ab · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.926241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec8eb0f9-7b1d-4769-9f15-e30523b6530b · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.870441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 94ba4081-497f-4740-a02b-61d9193acd5e · outbound

This paper cites Cao and R.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Cao and R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.890986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 81fae1bc-f0ce-469c-9172-360faca78502 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.831817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c20197a6-a223-4967-9833-6c1cdb8379b3 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.848916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e1b4294-f652-4cba-b728-e18f40480f86 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.801290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4d16db1-30ff-421f-941a-2b8ffe5e228c · outbound

This paper cites In our model, the addition of the hidden loop and the effect of the kinetic reversibility significantly complicate the calculations forP ± (t).

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks In our model, the addition of the hidden loop and the effect of the kinetic reversibility significantly complicate the calculations forP ± (t)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:01.189534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27e030c6-d11d-49f7-bad0-1b88f5f6cdfa · outbound

This paper cites (3) represents the local detailed balance condition for the closed substrate loop.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks (3) represents the local detailed balance condition for the closed substrate loop

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.817433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04c715c7-d88d-46af-8451-116f3a2ac26d · outbound

This paper cites [25], for the adaptation of our pathway analysis framework to the enzymatic model in Fig.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks [25], for the adaptation of our pathway analysis framework to the enzymatic model in Fig

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.787821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a5bb04a5-0bdd-49c9-86c5-76d3ca01889c · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.773927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8a70fb6d-a28e-4986-8ff6-225f2ff41916 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.761244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b8d5a47e-5aa5-42c0-b57f-0b42f276ed64 · outbound

This paper cites (6) divides out.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks (6) divides out

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.748910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3bc64af3-7f51-450c-97ff-a492ca917765 · outbound

This paper cites an unresolved cited work.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:25:00.735919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 401cc588-eaa2-4cb4-a1e7-67a46ecce544 · outbound

This paper cites (8)–(10) are independent ofk(2) −2; that is,p +/p− only depends upon seven independent parameters here, even though ˇP+ (z)/ ˇP− (z)depends upon eight.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks (8)–(10) are independent ofk(2) −2; that is,p +/p− only depends upon seven independent parameters here, even though ˇP+ (z)/ ˇP− (z)depends upon eight

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.723538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 724d91e1-6c4d-4457-ae6c-dbd0bf82c636 · outbound

This paper cites Hou and Z.

First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks Hou and Z

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:25:00.706727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 5dfa0d10-26f7-40cb-9439-419f8d248e40 · inbound

Thermodynamic bounds and symmetries in first-passage problems of fluctuating currents cites this paper.

Thermodynamic bounds and symmetries in first-passage problems of fluctuating currents First-Passage Time Fluctuation Theorem and Thermodynamic Bound in Cooperative Biomolecular Networks

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:19:54.863809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.