Pith. sign in

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 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.546813Z digest=sha256:0ae2ff202e9b3edc325620443fed0461d5011606079c74eaa786e7869267c4cd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.541139Z digest=sha256:698144f8f3ee4d333754f2fac54f436a9f6c451a61d0efb6701b1a04ab40fd1c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.555885Z digest=sha256:424cb393250157727f3ca7998048edbd3145f17a82df730dac7d21d530934357

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.551464Z digest=sha256:cb1cee36e687f555db9a7fbc4eaa896e183313f5c6bfb40aaa0baf7cd45fadff

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.

source=pdf_text observed=2026-08-10T20:25:00.565497Z digest=sha256:5741a82f40a89a88b1042efd9ed770d85a1988e03cf2c34382250880bdcc1c4b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.560558Z digest=sha256:9949c3f26e1f687394e8d028f96afab4ff44b819b3d8d13646ea905fcc7df296

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.574435Z digest=sha256:e82db125e6d53eb00d4211c02aa6e40ef08398c8470dfbb9f2392c592d056105

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.569582Z digest=sha256:e01ce6d9b1b1976b9aff3c8489ad8c5d94f192ccf7bdb9e6f348888210c92142

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.582571Z digest=sha256:8a0c35b116b6569e745d07c26d16eef5abbd832d684952319db8de702c010ddb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.578537Z digest=sha256:1b844dc776dbf779d499fdf97d2ec2aff6ce9d4fe743e3f71f1abb2abe55eef7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.591789Z digest=sha256:38e459fe56452b1f9d673ad67195b49b98a673a993578959359beb92b0931c0e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.586961Z digest=sha256:3ec10e03c7e4b9f8c9d522baa276a44ca48dcc4f27a6555c7a6b710ba15bc0df

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.600173Z digest=sha256:892e3eab3a766adeba0c1c9615d12db488c50f4d3c42288cb57f4f52fce74a07

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.596145Z digest=sha256:ec7e15866b646e68edc623e6c4d175cc05264c88eb516801585c8f2c05a7759d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.610301Z digest=sha256:e4c1326cb705ca4fc632c06a9931a0383b1c44c73adf14ebadd374a2db538500

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.604840Z digest=sha256:4e1d4d9e518d9dccccff7cd303683b4833985668736e6425a761819a8c03dcfa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.618147Z digest=sha256:358aa30b1c5b12341e57d0bf69e040c07ce39ab0fb80c468b765b3560d4c1c1e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.614234Z digest=sha256:db156199e5b13fccfe8d8e684ff8db815361e9cabcf6dd71a2b6d5b50d5c2d1f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.625736Z digest=sha256:1bd57e3f816aa3617406890ed3761fd38b644a329b81fa233fae0a9538cb3c62

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.621792Z digest=sha256:6914eb63a1b936e836075d2b88638f42ae8d2a84f33740743afa070cc8eaed21

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.633500Z digest=sha256:4a30a3354b2321349da484a6f4558ef669092c1393009c9d1bc7d3f703e15113

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.629768Z digest=sha256:b16632801fb5044c79b9eab9f651e4bbd85a4cb78e28753f4ffdfe221b1e6ffd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.641453Z digest=sha256:a6fcc4e4537c95a167db39a00dda8a82ebe6e2a276554ab07e21f45b4a88d9e9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.534304Z digest=sha256:0c9b2015b9e50aae5195766178a97f8a8decba40242e23ed310cb1c64aa3840b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.637411Z digest=sha256:f980e052203bd3df2f2b6ba81edaa1ec97867ebb8d5df81deeb54095c0d00b5d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.645884Z digest=sha256:ba87138f2c7639b01b9c520645918e63816bed3fd16020f4cabeb0feb84c19d9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.649790Z digest=sha256:6615684f04bd058c9d9e848ef6772a85a2727df21739c4e4ead9c8ca7b1fa8c5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.653645Z digest=sha256:ad307f760347ddb855c105b35cc720c301d0e9e3487dc0c56e1cfaed0bbcde13

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.657814Z digest=sha256:8a51d2638b5ce64c9b0d2ef4804c0157bcaf984f5ac5d34714c69201a3030af0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.662340Z digest=sha256:bc2ab146142acb0fccb84f4ab972ce1163efe02e3bf7979d7f258eb3f9c5870f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.666125Z digest=sha256:f125c7a41483c42177b241edf58d49c4def39565fd6cce49e713306f2485eb7e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T20:25:00.670036Z digest=sha256:39be3d1be9fa1b554ded6881f0b1df7d2d3a277de278e6dbfc8f1023c40cebba

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:19:49.507917Z digest=sha256:f963ce3eabc0bde391921ad37efc49e9a02115d51b39334d273156de6a1f4f85