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Paper Citation Record · LEDGER

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy

As of 17 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2505.00188.

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

pith.paper-citation-record.v1
2505.00188 v1

Coverage vector

measured 72 of 72 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:59:47.653143Z

measured 73 of 73 standing notices

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:35:20.605577Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

72 of 72 outbound references displayed

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  • verified fuzzy35
  • unresolved37
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 25400ade-d011-420a-8937-91438f7899de · outbound

This paper cites (2) By substituting ⟨⟨exp (−βV SE )⟩E0⟩S with ⟨exp (−βV SE )⟩S+E we will ultimately eliminate the free energy’s dependence on the HMF.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy (2) By substituting ⟨⟨exp (−βV SE )⟩E0⟩S with ⟨exp (−βV SE )⟩S+E we will ultimately eliminate the free energy’s dependence on the HMF

Reference 1

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Observation 8bf84b2a-ee39-460e-b066-5a05a4738e67 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 2

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Observation 2d9b461c-5df3-41ce-a5e3-d68ae0bb13a4 · outbound

This paper cites ( 9), we obtain after simplification ZS+E Z ∗ ZE = ⟨exp(−2βV SE )⟩E0 ⟨exp(−βV SE )⟩2 E|S.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy ( 9), we obtain after simplification ZS+E Z ∗ ZE = ⟨exp(−2βV SE )⟩E0 ⟨exp(−βV SE )⟩2 E|S

Reference 3

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Observation bbd3274d-a63c-4e00-b970-450e62ef59c7 · outbound

This paper cites Failure of the work-Hamiltonian connection for free-energy calculations.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Failure of the work-Hamiltonian connection for free-energy calculations

Reference 4

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Observation 43895248-e71d-426c-8d5a-d4056b158eb2 · outbound

This paper cites (16) In the above expression, the function M (xE ) can be rewritten using Eq.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy (16) In the above expression, the function M (xE ) can be rewritten using Eq

Reference 5

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Observation 5e9dc520-8537-4c37-8476-6f4d950d4741 · outbound

This paper cites Sekimoto, Langevin equation and thermodynamics, Prog.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Sekimoto, Langevin equation and thermodynamics, Prog

Reference 6

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source=pdf_text observed=2026-08-16T04:59:47.438595Z digest=sha256:6d6eeb262fdd9d2cc970bfe542f306e9f60a68e654334ef16349f9ecafca7e33

Observation a757bdb6-24f9-4c01-83d2-50cf7cdb19f2 · outbound

This paper cites Zhang, H.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Zhang, H

Reference 7

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Observation caf72770-9fc9-421a-8293-1b40a2dd1974 · outbound

This paper cites Van den Broeck and M.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Van den Broeck and M

Reference 8

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source=pdf_text observed=2026-08-16T04:59:47.446389Z digest=sha256:fd812e9249cfe14cc4c5620685d5248fb4a56af5833316bfad47241c28b6cb95

Observation 69c27fee-20f4-4964-801b-79d1af5fa89c · outbound

This paper cites (10) By multiplying both sides of the above equation by Pβ (xS )/ ZE , substituting P (xE |xS ) Pβ (xS ) on the right- hand side with P (xS , x E ), and by using Eq.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy (10) By multiplying both sides of the above equation by Pβ (xS )/ ZE , substituting P (xE |xS ) Pβ (xS ) on the right- hand side with P (xS , x E ), and by using Eq

Reference 9

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Observation c8f4def3-bb94-42a7-84e1-0f0d77d89cd4 · outbound

This paper cites Seifert, First and second law of thermodynamics at strong coupling, Phys.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Seifert, First and second law of thermodynamics at strong coupling, Phys

Reference 10

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source=pdf_text observed=2026-08-16T04:59:47.454568Z digest=sha256:4b74905cdb55ee82f76c69c2e3d6476e14aebefe182f98547a18d3f507304761

Observation fc1adbf6-0a71-4e2f-b891-f895602313e8 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 11

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Observation d94d9351-0d95-4d71-9048-0f2802e562a0 · outbound

This paper cites In terms of importance, it gives a com- plementary view of how free energy changes.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy In terms of importance, it gives a com- plementary view of how free energy changes

Reference 12

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Observation 05b3856e-91f2-4fa7-981e-9d900a398610 · outbound

This paper cites With this in mind, we combine or result with the JE and arrive at ⟨ e− β ∆ Hβ (x)⟩ S 1 + χ 2 (Pβ ‖ PS0 ) = ⟨e− βW ⟩.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy With this in mind, we combine or result with the JE and arrive at ⟨ e− β ∆ Hβ (x)⟩ S 1 + χ 2 (Pβ ‖ PS0 ) = ⟨e− βW ⟩

Reference 13

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Observation ca71d8f6-8037-481d-b882-92a860410348 · outbound

This paper cites Campa, T.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Campa, T

Reference 14

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Observation 634de3ce-97a1-4a8f-a4f0-ccc93a1df12d · outbound

This paper cites In this way, one arrives at US = ⟨HS⟩S + ⟨VSE ⟩ for calculating internal energy.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy In this way, one arrives at US = ⟨HS⟩S + ⟨VSE ⟩ for calculating internal energy

Reference 15

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Observation 39bf1356-47b3-4a86-979c-71adf3dd56c2 · outbound

This paper cites Jarzynski, Stochastic and macroscopic thermodynam- ics of strongly coupled systems, Phys.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Jarzynski, Stochastic and macroscopic thermodynam- ics of strongly coupled systems, Phys

Reference 16

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Observation fefe0bac-6f0e-4c31-8fd8-c81086466afd · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 17

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Observation 31a80440-3929-49af-8c63-1e7ee65bfd2b · outbound

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Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-16T04:59:47.387606Z digest=sha256:feae1c3a74566c55d77fc9f8047a3c99aa481e38152a4915ebbe17fb5a8d6143

Observation ec970a99-7491-4332-be40-eb13d4920be9 · outbound

This paper cites Failure of the work-Hamiltonian connection for free-energy calcula- tions.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Failure of the work-Hamiltonian connection for free-energy calcula- tions

Reference 19

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source=pdf_text observed=2026-08-16T04:59:47.427312Z digest=sha256:cc10c1770436c2002ba4ad5c97e150a43c9c87a9b78a7a392d76346b9efb98d3

Observation e0672cfe-deb5-4ec8-b531-16841e1e999e · outbound

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

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Rep

Reference 20

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source=pdf_text observed=2026-08-16T04:59:47.434205Z digest=sha256:3082fe6b3fc32163625aca2295257ab634f3acab074a9a0b6f6854a04d4b8c38

Observation a7ba696c-c152-469e-82e5-6c7206560c5f · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-16T04:59:47.500879Z digest=sha256:733020caa5472a5a24f54d5b5c7e65aa84a22acbe6655f77a76fabc132b3e9bc

Observation 8fe0347f-6cef-436f-91d2-efcb34e8d846 · outbound

This paper cites Hilfer, Foundations of statistical mechanics for unsta- ble interactions, Phys.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Hilfer, Foundations of statistical mechanics for unsta- ble interactions, Phys

Reference 22

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Observation f1212994-1600-44af-aad9-432ebcf0e9f7 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 23

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Observation 4a393f34-e36f-42d9-ab1d-36648e06803b · outbound

This paper cites Esposito, K.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Esposito, K

Reference 24

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Observation d6c5ad56-d179-4e74-9ff8-cfad41ef494a · outbound

This paper cites Talkner and P.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Talkner and P

Reference 25

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Observation 08fac0fc-9608-4cad-935e-669d2cc6f839 · outbound

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Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-16T04:59:47.463061Z digest=sha256:9c96d0084dbd4039c8f501c12f59d26b51cf73ee2a8dd53cee64bab813177692

Observation 7b1b17c4-c530-4175-8cce-388cee5d288e · outbound

This paper cites Goldstein, D.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Goldstein, D

Reference 27

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source=pdf_text observed=2026-08-16T04:59:47.466725Z digest=sha256:a8b633f95b8b988885cdcf7c5755023e6ff9ff97cf3ddc5e73561b35b81787ef

Observation 38a46cd9-8aa7-420f-bd07-8416f4c4fbc7 · outbound

This paper cites Anto-Sztrikacs, A.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Anto-Sztrikacs, A

Reference 28

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Observation 15bb43d4-b4cf-4ac8-961f-d3c5a7c23cdc · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 29

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Observation d0b7460c-da85-472e-a394-52efd36aa421 · outbound

This paper cites Binder, L.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Binder, L

Reference 30

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Observation 00c8191b-1791-4e80-92a3-224043124f3d · outbound

This paper cites In the cases discussed above where Var E0 (e− βV SE ) = 0 holds, by placing the result of Eq.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy In the cases discussed above where Var E0 (e− βV SE ) = 0 holds, by placing the result of Eq

Reference 31

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Observation 8d6f6817-cf83-4567-9b0e-42083078eee2 · outbound

This paper cites Talkner and P.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Talkner and P

Reference 32

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source=pdf_text observed=2026-08-16T04:59:47.482657Z digest=sha256:7308d1190c4704169595d7e2be5ad309581836a3a90f415c32fd697a68d8d38e

Observation d4ead28b-ca4d-4642-af3f-64e0e67cec71 · outbound

This paper cites Thirring, H.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Thirring, H

Reference 33

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Observation 367cc845-bddf-40e1-af46-da7f4c16c2ef · outbound

This paper cites H¨ anggi, P.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy H¨ anggi, P

Reference 34

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source=pdf_text observed=2026-08-16T04:59:47.490937Z digest=sha256:9784396ffb71c0e3141d73c91d2634ea0bc4398baeb3a88b2cd58ebf3734f09b

Observation 898e2e63-7074-4c79-9e93-71ec38e0c7a6 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-16T04:59:48.120488Z

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.

source=pdf_text observed=2026-08-16T04:59:47.496177Z digest=sha256:5f5d18989964d0a721be5b57a889acfe8ca1fb28b5bc1c904eaf964fab81c4ca

Observation f4c6eb93-5540-4867-8838-6f4c57137336 · outbound

This paper cites Chipot and A.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Chipot and A

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.559699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.559699Z digest=sha256:097148f71ed394479d66fbde6caa979ce3d8ad715d2ac80499e027787c9c00c3

Observation 2fa11448-f7c2-41f2-b701-e240e73c9920 · outbound

This paper cites These relations imply that the variance of VSE is invariant upon coupling (i.e.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy These relations imply that the variance of VSE is invariant upon coupling (i.e

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:48.347298Z

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.

source=pdf_text observed=2026-08-16T04:59:47.399716Z digest=sha256:1869f3cf1fd7374fe9ccb8b405885e38ab0c04dd61005806a1c7720653195ef1

Observation 3298c1c1-640d-465f-ae7a-e40291e60232 · outbound

This paper cites Campisi, P.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Campisi, P

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.509990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.509990Z digest=sha256:21cba3abf81d389fc322c8c49d6fc12b87785c39f415b9647fd9caf222e0def0

Observation bed3be0d-19d4-4814-b5ff-bc85ee8de5dc · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.513646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.513646Z digest=sha256:22de6ec185a527f3c4fb7c554d1bf61796a9217a67dd4fcc9f1e417d7d52787a

Observation a769359e-9ceb-4eb9-a6d5-2ffc878c8f6e · outbound

This paper cites (41) Now, finally with Eq.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy (41) Now, finally with Eq

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:48.300931Z

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.

source=pdf_text observed=2026-08-16T04:59:47.415828Z digest=sha256:c61ca6b9fc15d535ad2465da6365888cf9369e20770bea8e77ab4af40ff9624a

Observation ebab0a88-f140-4a4c-9303-c3ebf6101138 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:48.068789Z

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.

source=pdf_text observed=2026-08-16T04:59:47.517454Z digest=sha256:ee404a7ac7016ef4215688139b772fc6ed586bc7c0166979180ccf98eebfae62

Observation cfdc37ab-ff68-4c0c-a20b-1bedfd53d41e · outbound

This paper cites Roux and T.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Roux and T

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.521087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.521087Z digest=sha256:9474b6c5b8c74e06016bfd0a152493580032948319b4bc1c9faf70ce34f2cb78

Observation f92d775d-e33f-49a0-91ed-e45355bc9528 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.524867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.524867Z digest=sha256:7ebc10485b265cb37f510a3805c91d893675d074ce8fecd2e0444caddcbe2e7b

Observation 0cf3b272-2643-4e68-8d47-b9cbe9535dd7 · outbound

This paper cites Strasberg and M.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Strasberg and M

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:48.030822Z

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.

source=pdf_text observed=2026-08-16T04:59:47.533258Z digest=sha256:266a35c09209596ebb302d3a835e65f070bd0ad1cffbe6ccbfb98e85b8d79088

Observation c4d7c948-8df7-4eba-81a1-94b93312b040 · outbound

This paper cites Xing and M.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Xing and M

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.536972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.536972Z digest=sha256:e74ca52038f42b9c62b989f28398b25ea8abdebdd0f32c5ae83eae99cbf0af89

Observation 270b4427-cdad-4de5-a77b-54b7bba7c02e · outbound

This paper cites Colla, F.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Colla, F

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:48.010948Z

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.

source=pdf_text observed=2026-08-16T04:59:47.541284Z digest=sha256:3651645f2ed2f9209267ce6c9e2c459256babc123029bc851e9bc5d9da14e50f

Observation f4ab0b22-76c2-41ba-91f2-430ea4643ee4 · outbound

This paper cites Mondal, S.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Mondal, S

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.998563Z

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.

source=pdf_text observed=2026-08-16T04:59:47.544667Z digest=sha256:56ac660033779bdc06dc2abbb924088e04116e2ddec76e1e67e0d5857103775d

Observation 58041e53-df9f-4d32-aa12-c6012e196dba · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.985423Z

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.

source=pdf_text observed=2026-08-16T04:59:47.548331Z digest=sha256:50756872d237c130fd3dfe9aaa7bc7f5947311d79882ec1021e6837a896eebf3

Observation 0a75af62-0ba5-41a4-bcdd-59a2a478c6c4 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.552266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.552266Z digest=sha256:9acef7fc91cdcdc88f6d8cf202aff27496369a3708ed344ec23526b07c5f50b6

Observation 3c95c682-1c6b-43d5-b240-f29d64590b99 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.555683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.555683Z digest=sha256:ceee76a8756bc96aa74cfbb3255374b092d2c967fae21a402bd80f05e6ce0d6b

Observation 57150103-36e3-4541-a2a2-4ebbb5e989ed · outbound

This paper cites Rahbar and C.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Rahbar and C

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.950675Z

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.

source=pdf_text observed=2026-08-16T04:59:47.563091Z digest=sha256:42b56846bb1ab104ce3b98352c736e2532599c2d258d5a8744b0608d1b41ac26

Observation ba95ff9c-ddd4-4daa-906c-ed3637a5666c · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.938763Z

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.

source=pdf_text observed=2026-08-16T04:59:47.566758Z digest=sha256:194c61a9f2959d371c5bc61ebffe5ec269554a3a7154c8eabc729f2037df6f87

Observation b00589dc-0ebe-4d9d-b075-0550dd728982 · outbound

This paper cites Zhang, The application of the Gibbs-Bogoliubov- Feynman inequality in mean field calculations for Markov random fields, IEEE Trans.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Zhang, The application of the Gibbs-Bogoliubov- Feynman inequality in mean field calculations for Markov random fields, IEEE Trans

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.927167Z

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.

source=pdf_text observed=2026-08-16T04:59:47.570933Z digest=sha256:f331fc6d9071fcfdff6ab5f9f3b9bf4e6bfbb3db79cb276657a7221e3fa65ce5

Observation 76a055eb-be21-49f0-bb37-a6798fcefdb5 · outbound

This paper cites Faussurier and M.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Faussurier and M

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.913858Z

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.

source=pdf_text observed=2026-08-16T04:59:47.575712Z digest=sha256:45692add106b1e4e9e5f0b678f0f376fe9f126a5eda87d89240944468c4a21fe

Observation 780899bf-5ed9-4792-b4fe-9ff939d1c68e · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.580762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.580762Z digest=sha256:7727f8532c3757a6933624ad4eee0fa739f67867cbf702bdb7f28ebfb667b0bb

Observation 3be274a8-3c15-463e-901e-fefe4390fccf · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.891928Z

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.

source=pdf_text observed=2026-08-16T04:59:47.585568Z digest=sha256:1d1b040f981a8ef1adbaee9a30b2d09a4a63cd8d4913ca3c8029f2f444818ff8

Observation 45665628-f212-4415-a4ca-d4463f34669e · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.879167Z

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.

source=pdf_text observed=2026-08-16T04:59:47.589793Z digest=sha256:88b17563bbf6d435dccd79bdb3d4a5887c0991986c9c9a2323314c856e7c5043

Observation 4d1b34cc-2334-4b15-bc71-e1f214dac713 · outbound

This paper cites Delle Site, G.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Delle Site, G

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.864879Z

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.

source=pdf_text observed=2026-08-16T04:59:47.593953Z digest=sha256:07e60233a548989a0b395aa6421f64049b616809b81559668b793ca6ab5ab281

Observation 34b78d48-851b-4761-87e6-5c616195f9f8 · outbound

This paper cites H¨ older, Ueber einen Mittelwerthssatz, Nachrichten von der K¨ onigl.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy H¨ older, Ueber einen Mittelwerthssatz, Nachrichten von der K¨ onigl

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.853963Z

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.

source=pdf_text observed=2026-08-16T04:59:47.597468Z digest=sha256:ac70f297dbac87daeb31b8958fae6a761d2e745134bac916b20592deceef4a3f

Observation cdafe8a7-13a1-4b99-85e5-8b3e7d5e89c5 · outbound

This paper cites Nishiyama and I.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Nishiyama and I

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.841613Z

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.

source=pdf_text observed=2026-08-16T04:59:47.601384Z digest=sha256:f2c0bdab375d9da224ebfeff76eeaef01496df70200ac9cd74965dc66befd319

Observation 2e759f8f-bb5d-4188-ae91-f9217138a702 · outbound

This paper cites Huang and W.-M.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Huang and W.-M

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.828995Z

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.

source=pdf_text observed=2026-08-16T04:59:47.605392Z digest=sha256:96b9071a1a3e33f773fe64f8e912a673672eb3156405540cbda415cc14d4edfd

Observation f065b1fa-a818-40a3-85ee-4e8ea2d5f0a4 · outbound

This paper cites Naleem, E.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Naleem, E

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.815844Z

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.

source=pdf_text observed=2026-08-16T04:59:47.610521Z digest=sha256:83ca558b3fe7984d0f7a146d635841aa313c8e4400726f3fb938da957e15654e

Observation 947c38da-179d-4b06-b955-de596cb229ec · outbound

This paper cites Park and K.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Park and K

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.802963Z

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.

source=pdf_text observed=2026-08-16T04:59:47.614497Z digest=sha256:f3ce7be47741b0703bfc9538d37d082de3a3b4edc63bd3e4dcf9eb996c9aeaa5

Observation 9fe7822d-3d00-4efd-855b-e03d884eb85a · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.790937Z

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.

source=pdf_text observed=2026-08-16T04:59:47.619325Z digest=sha256:75ef627e70fe65da4c15319f7be8ad09f0e7238cc1fde9b0fa8d6d3b44ad3bef

Observation aa61aa0f-21dd-4cd7-8045-2fa83752a072 · outbound

This paper cites Gupta, C.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Gupta, C

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.777475Z

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.

source=pdf_text observed=2026-08-16T04:59:47.623972Z digest=sha256:f746baeaf10c3e82da7211d36c1acdc005ca05f89ddcd4a42edc6ff65e16bee7

Observation 2a544603-4c9a-49e4-a87b-4860d735f868 · outbound

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

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Jarzynski, Nonequilibrium equality for free energy dif- ferences, Phys

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-16T04:59:47.628568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:59:47.628568Z digest=sha256:5272954a6afd1bd9f420ead111b47e1dbed433109d57b64e2640c8519390a9f7

Observation 3fb36537-44ad-41bc-8357-455c4b5e0de5 · outbound

This paper cites Cohen and D.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Cohen and D

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.755942Z

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.

source=pdf_text observed=2026-08-16T04:59:47.633002Z digest=sha256:eb6a8a0ef815d1b56cca35e7fb80261aff18d9c30dccf2978e3f193e899c01c9

Observation 59b4c495-7cd5-43ed-89a1-8cee887f407d · outbound

This paper cites Collin, F.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Collin, F

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.742387Z

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.

source=pdf_text observed=2026-08-16T04:59:47.638231Z digest=sha256:b98351402de77d84c86fcaaa757ca6d0d9cfbe1f3cd036ad79dfa94248e13e0a

Observation 0bccd805-3c17-474a-b2e6-ba4b9b83d8d7 · outbound

This paper cites An, J.-N.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy An, J.-N

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.729258Z

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.

source=pdf_text observed=2026-08-16T04:59:47.642155Z digest=sha256:0afe8788991a7178ac4076b787d6594b70edab685d234a114eb51601ea8002ab

Observation 2c007f25-fde5-4cf6-a7a5-db168479c9e9 · outbound

This paper cites an unresolved cited work.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:59:47.716869Z

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.

source=pdf_text observed=2026-08-16T04:59:47.645773Z digest=sha256:be8ddb17a0cc414c31b5d09a93927a08cf32eda1b0818eee7b23671f10f6bb3e

Observation 5fe5ab30-3f75-4c45-ac8f-bc75ffac0911 · outbound

This paper cites Jarzynski, Nonequilibrium work theorem for a sys- tem strongly coupled to a thermal environment, J.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Jarzynski, Nonequilibrium work theorem for a sys- tem strongly coupled to a thermal environment, J

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.701780Z

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.

source=pdf_text observed=2026-08-16T04:59:47.649296Z digest=sha256:c6b643f356a33161a002052857b29cb7828d8ef75ecbe5832e5f42817cf1f308

Observation 8980a4b2-e3d0-445b-b4f9-4c1656cd0a04 · outbound

This paper cites Jarzynski, Equalities and inequalities: Irreversibili ty and the second law of thermodynamics at the nanoscale, in Time: Poincar´ e Seminar 2010 (Springer, 2012) pp.

Thermodynamic potentials from a probabilistic view on the system-environment interaction energy Jarzynski, Equalities and inequalities: Irreversibili ty and the second law of thermodynamics at the nanoscale, in Time: Poincar´ e Seminar 2010 (Springer, 2012) pp

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:59:47.687838Z

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.

source=pdf_text observed=2026-08-16T04:59:47.653143Z digest=sha256:1f3608fe5ef3a3c91a761e25d30d1a9d2355ab62eb4f9d6aa514509c9b04bd5a

Pith citing papers

Observation 3ed4d2bd-40db-48e3-9bc8-ec2998408ba8 · inbound

Exact and variational identities for free energy differences in strongly coupled open systems cites this paper.

Exact and variational identities for free energy differences in strongly coupled open systems Thermodynamic potentials from a probabilistic view on the system-environment interaction energy

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-03T22:35:20.605577Z

Source-reported events for the cited work

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