Paper Citation Record · LEDGER

Thermodynamic uncertainty relation for generalized time-reversal observables

As of 6 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2509.01981.

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

pith.paper-citation-record.v1
2509.01981 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:09:03.167287Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:40:02.897899Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy20
unresolved25
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d66d3b6-9cfc-4fa3-a1e1-5f5964d289cf · outbound

This paper cites We show that the minimum is attained in a distribution supported on exactly two points.

Thermodynamic uncertainty relation for generalized time-reversal observables We show that the minimum is attained in a distribution supported on exactly two points

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:11.998194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8530632e-d5ef-4041-90d3-da2f5eb98e9f · outbound

This paper cites Hence, the corresponding two-point distribution al- ways exists, and the bound is valid for any gener- alized FT distribution.

Thermodynamic uncertainty relation for generalized time-reversal observables Hence, the corresponding two-point distribution al- ways exists, and the bound is valid for any gener- alized FT distribution

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:11.761163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 548ed91d-81b6-4a74-85a1-06b3901ea77a · outbound

This paper cites (8), we ob- tain a universal lower bound on the uncertainty.

Thermodynamic uncertainty relation for generalized time-reversal observables (8), we ob- tain a universal lower bound on the uncertainty

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:11.555256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c091d714-3165-416f-a502-c53be87b878a · outbound

This paper cites For clarity, we assumed the baths share an identical de- cay rate γ.

Thermodynamic uncertainty relation for generalized time-reversal observables For clarity, we assumed the baths share an identical de- cay rate γ

Reference 4

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T12:09:11.382004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 153516d4-a488-4478-934f-3303479d3ac3 · outbound

This paper cites Jarzynski, Nonequilibrium equality for free energy dif- ferences, Phys.

Thermodynamic uncertainty relation for generalized time-reversal observables Jarzynski, Nonequilibrium equality for free energy dif- ferences, Phys

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T12:08:58.184381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0fce761-3dec-4ddc-b749-099e2fc2ee28 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:11.118257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 24b7263c-cd96-4b5a-90d5-2f0d584ace8d · outbound

This paper cites Gallavotti and E.

Thermodynamic uncertainty relation for generalized time-reversal observables Gallavotti and E

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T12:08:58.447600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2d6a4f4-dc21-4836-af7d-531c93174f30 · outbound

This paper cites Esposito, K.

Thermodynamic uncertainty relation for generalized time-reversal observables Esposito, K

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:10.871557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cae34b45-2d0e-4324-ba59-6c249ac5b82e · outbound

This paper cites Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Rep.

Thermodynamic uncertainty relation for generalized time-reversal observables Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Rep

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:10.605672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation efd4b42e-9aac-4b1c-bfec-814d184e5380 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T12:08:58.853252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4f3603e-9641-4b30-bbf7-f76c6f85f0f8 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T12:08:58.945094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4f6efe0-0444-4fd2-919c-85b2cbb51aba · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:10.354520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1cb87603-a0c9-4e44-8171-eb580b070718 · outbound

This paper cites Manzano, J.

Thermodynamic uncertainty relation for generalized time-reversal observables Manzano, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:10.109472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f7e357c2-1a83-41f8-b992-650f709aefda · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:09.859438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7b8ff172-943d-4cb9-abd9-17d3007e1bbe · outbound

This paper cites Hasegawa and T.

Thermodynamic uncertainty relation for generalized time-reversal observables Hasegawa and T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:09.542857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 636d976e-924a-4c94-8745-e2c6411d1ef6 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:09.276457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fd1970b6-dbc1-4fe5-bf2a-0f5d13a3f555 · outbound

This paper cites Merhav and Y.

Thermodynamic uncertainty relation for generalized time-reversal observables Merhav and Y

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:09.023419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 30e2b04e-de2a-4e4a-a4e7-283b67d31aca · outbound

This paper cites Ziyin and M.

Thermodynamic uncertainty relation for generalized time-reversal observables Ziyin and M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T12:08:59.824755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7296ea2c-9633-402b-94e2-0fff15b716d6 · outbound

This paper cites Di Terlizzi and M.

Thermodynamic uncertainty relation for generalized time-reversal observables Di Terlizzi and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:08.754848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a7d2d0f5-75df-4e3c-b0a1-c9519fb9405b · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:08.485796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2d667770-38f8-48d9-a9b2-115ef9520e65 · outbound

This paper cites Hiura and S.-i.

Thermodynamic uncertainty relation for generalized time-reversal observables Hiura and S.-i

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:00.205272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60b58473-9b34-468c-9b69-e16b5cf23a96 · outbound

This paper cites Monnai, Kinetic equality for susceptibility and dy- namical activity, Phys.

Thermodynamic uncertainty relation for generalized time-reversal observables Monnai, Kinetic equality for susceptibility and dy- namical activity, Phys

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:08.226184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e83c4078-e7a6-48b2-83c9-0c44981d59da · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:08.031441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ee56a0f7-d67e-4b2a-8767-9780c2a2ec8e · outbound

This paper cites Hasegawa and T.

Thermodynamic uncertainty relation for generalized time-reversal observables Hasegawa and T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:07.808592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 82b2631a-eb89-4c1f-9a7a-0378ee667335 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:07.576140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 11be27b9-015d-4354-9782-815b89b57a13 · outbound

This paper cites Geva and R.

Thermodynamic uncertainty relation for generalized time-reversal observables Geva and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:07.323000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 86338b01-961d-47c6-a418-de6c5c795f3b · outbound

This paper cites Boukobza and D.

Thermodynamic uncertainty relation for generalized time-reversal observables Boukobza and D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:07.049321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 96b396a1-8969-44eb-b563-8a80b84596f9 · outbound

This paper cites Alicki, The quantum open system as a model of the heat engine, Journal of Physics A: Mathematical and General 12, L103 (1979).

Thermodynamic uncertainty relation for generalized time-reversal observables Alicki, The quantum open system as a model of the heat engine, Journal of Physics A: Mathematical and General 12, L103 (1979)

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:01.050703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 443f70aa-058e-48c7-8858-635259603ad8 · outbound

This paper cites Seifert, Entropy production along a stochastic tra- jectory and an integral fluctuation theorem, Phys.

Thermodynamic uncertainty relation for generalized time-reversal observables Seifert, Entropy production along a stochastic tra- jectory and an integral fluctuation theorem, Phys

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:01.188015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2f0eac5-3164-4a26-ba70-88d35562bf6f · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:06.802054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6bfb89a4-7d38-4d07-93eb-50c616e66de8 · outbound

This paper cites Boucheron, G.

Thermodynamic uncertainty relation for generalized time-reversal observables Boucheron, G

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:06.525107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fb13bb5c-2e3c-49d0-94ee-29e9522d034e · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:06.285479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 78b427f7-774a-4743-8d20-a8b8e58be7bf · outbound

This paper cites Landauer, Irreversibility and heat generation in the computing process, IBM Journal of Research and Devel- opment 5, 183 (1961).

Thermodynamic uncertainty relation for generalized time-reversal observables Landauer, Irreversibility and heat generation in the computing process, IBM Journal of Research and Devel- opment 5, 183 (1961)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:06.035180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e57318d3-ab56-4949-9d2d-24b38714ba43 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:05.777251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 53b2ee16-042d-4320-ae9a-a382fd7bff1a · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:05.476113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5de42033-e94a-4954-94ac-30cb79a140fe · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:01.971369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6878b5d-8587-4bed-baa9-ee119f9c418f · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:05.205081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 80954488-c432-400f-939b-74f8ca692e2c · outbound

This paper cites Manzano Paule, Thermodynamics and Synchro- nization in Open Quantum Systems , Springer Theses (Springer, Cham, 2018).

Thermodynamic uncertainty relation for generalized time-reversal observables Manzano Paule, Thermodynamics and Synchro- nization in Open Quantum Systems , Springer Theses (Springer, Cham, 2018)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:04.910426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9114013d-2145-41d2-89cd-a3c394061ab5 · outbound

This paper cites Hasegawa, Quantum thermodynamic uncertainty re- lation for continuous measurement, Phys.

Thermodynamic uncertainty relation for generalized time-reversal observables Hasegawa, Quantum thermodynamic uncertainty re- lation for continuous measurement, Phys

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:02.346845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b0ed666-8360-4ef2-8111-9ac94e9f8287 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:02.441431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 691d12c9-7f28-400c-907a-0fabf9a83f00 · outbound

This paper cites Jarzynski and D.

Thermodynamic uncertainty relation for generalized time-reversal observables Jarzynski and D

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:04.632664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0f28c903-53f1-4d07-9128-db2dd6ab5f5b · outbound

This paper cites Saito and Y.

Thermodynamic uncertainty relation for generalized time-reversal observables Saito and Y

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:04.331307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c02e708e-d92d-4883-9f99-ab86c161ad69 · outbound

This paper cites an unresolved cited work.

Thermodynamic uncertainty relation for generalized time-reversal observables Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:09:04.119873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 465d1b7f-e49b-4891-9d31-a9ee6e7273b7 · outbound

This paper cites Lahiri and A.

Thermodynamic uncertainty relation for generalized time-reversal observables Lahiri and A

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:03.887498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0e95eed1-cbfc-490f-aff6-eb754198173e · outbound

This paper cites Andrieux, P.

Thermodynamic uncertainty relation for generalized time-reversal observables Andrieux, P

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:09:03.612659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e5f812ab-8f4d-400f-ac6d-443a8f7ee125 · outbound

This paper cites Esposito, U.

Thermodynamic uncertainty relation for generalized time-reversal observables Esposito, U

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T12:09:03.167287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 24845b5a-9b19-4833-868e-1c46e374a8f1 · inbound

Compensating random transition-detection blackouts in Markov networks cites this paper.

Compensating random transition-detection blackouts in Markov networks Thermodynamic uncertainty relation for generalized time-reversal observables

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T21:40:02.897899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.