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Paper Citation Record · LEDGER

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

As of 24 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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
  • metadata mismatch0

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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source=pdf_text observed=2026-08-16T04:59:47.430977Z digest=sha256:bbc481e2db267dbcf02882dd3ce1bb3a5ef8f86b48c42ad4897b26c6187e7942

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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source=pdf_text observed=2026-08-16T04:59:47.377741Z digest=sha256:05a1af3b976c4492adad4f4f07314727b74cf6bd273d3ab4dc3e4b6f15757ce6

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=sha256:475aa8913de9aa5f1ff282f598f63a05f7f9df3b964204c9b48c3102f8298fdc

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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source=pdf_text observed=2026-08-16T04:59:47.442610Z digest=sha256:3716c8ae023c72f1e6c47dc4084e9b8e8696c709713258a7f585d4fa91f4ce37

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:d7774a361297a535d15d3da475a020bf4957d1d0415a14b8c521929712161c70

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=sha256:44bed63bc48fe6422b3d97a598fa983f15fc7a9268963f179c61f3da8bf6f94f

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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source=pdf_text observed=2026-08-16T04:59:47.404003Z digest=sha256:eff64c878ca106e94eb5425910286140bc09f54fa8b54f56c71a519249957238

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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source=pdf_text observed=2026-08-16T04:59:47.382857Z digest=sha256:9f78713f5176c8e2e25942f06328bddfff418f533cc3c6d591ddb910157eb30f

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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source=pdf_text observed=2026-08-16T04:59:47.419865Z digest=sha256:aaf37ce0538ea83a504c618ae5af15d8dcbe11005e7f8f7bca11333888b9b628

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=sha256:9432074c5aa1b4c6da9b51b9c69817fb61f359ca5539a9db8257998d73bbc0e3

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=sha256:9c31b658dbca7b5ebd273bfd14b6a81a62ed808402bfa651747fc2916e555932

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=sha256:3a3b1813c8deec6338c2eae85dfa57a9db0c19d146beeed2a3f6f0fd51f24943

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=sha256:7990f39efa6167847a937cada5b596bf8c23c651f3cddfa6123199c889cd2d73

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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source=pdf_text observed=2026-08-16T04:59:47.450824Z digest=sha256:5154ee924272d39101e7308d93de44cff1d23a8797790bd6c1ebdf227a76b29e

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

This paper cites an unresolved cited work.

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:bfea18801803f31511cd3ae66a74ac76299d7585e6a6e98ed09fee0b92580a87

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=sha256:2834374035db515865bcb6c086d60e266f142a842f89092547cd22453ad5747c

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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source=pdf_text observed=2026-08-16T04:59:47.475178Z digest=sha256:61e0d7ff80e8a7bc8c2c46602834f05136d90e18bf6077a72a789c6d0897836c

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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source=pdf_text observed=2026-08-16T04:59:47.478869Z digest=sha256:8e9f3a1d2d21f4a620cf506305c369e88740b624b215024f273124dbf8ae6baa

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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source=pdf_text observed=2026-08-16T04:59:47.395361Z digest=sha256:d424b76c1b887f43c67c573b81e1652b83690eb02e782a8807207c579f99c60b

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=sha256:1099ccaacb7cacdaba16413aac36af30705cd2509910bfe248270b0d0987039c

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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source=pdf_text observed=2026-08-16T04:59:47.486539Z digest=sha256:d64e575cac6de5ad0b80908ac5e7a2787582974e2ed5f7ae7e806669bedbb58e

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:d871ad0268788847666951215fa24ac3d4ff7563c74fed128050653445784536

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.496177Z digest=sha256:d59ff7ce662d35e03d589cb60a4b4d1916c8485d7c1897a8fa24318ef24e8927

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=sha256:5c8855c321c58d0214c01f8e8a3ded42e755dff0d6c35769b9eeb4c8ba893244

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.399716Z digest=sha256:e61de60d3380383da7733c97c80df5cbf12bc51cbb8b443ec54bb9dd4f19973c

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:b6f19db75e8de6bc34543ba2145c86f1c34e714d7f21480ac031a9795663bdaa

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=sha256:38d20b56e301d6a0f32e174f82073b8b38fc4450161838d23c80784009e3e88d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.415828Z digest=sha256:8d4f324e676743bb919a491213f0f78ca876342de8253a3f1c07df00208ff0f1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.517454Z digest=sha256:8be23b4a7c2e11f2ce9ccd9de16da1a594fd6581302d4bd01d3c004be253ed7e

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:e6d04d748d0c3f2079d67e77a056bf151abb5040c71c3eb755b5ba1a0208d020

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:b9dcd6bc49e9d88baa601587e816554061e28c47c582f7df404636066ad73792

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.533258Z digest=sha256:7a23fedad4dad77c90b8347136c4471d4ca1f443873faa46e0957a41a179a747

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=sha256:1f87e891fd1931d29110c9401fea4a83ba793ac71da9c4297fa1f433b591f055

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.541284Z digest=sha256:e1752b96dc4fa3e4793474e57d78cbf4d8f1603a39d364635afdebfec601586c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.544667Z digest=sha256:f317de418d94925484e2013b5f7bd09079c97c6b9d79431c1017c9d4f47ce2a1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.548331Z digest=sha256:3249f659fcd587d6684bf2a0ff679da1c70271efa876c9b496805de181a950b5

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:d5ff8d779e8333fc284cd695075cdfe8c1c8379026ea23d532b9f0b7f194a6ad

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:be831b0c3a6f55ec965337d06c6841795924381dc636194e7e0497fc05e4f652

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.563091Z digest=sha256:7047389e5349cf105b4e358cdeb7aa0cfdb9d1a42c803582ffafc4e5ed203b6d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.566758Z digest=sha256:65d1518e6e86050f54862b678d4390826b265fe102fa88bcf3a2fa94b841d4a8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.570933Z digest=sha256:7864d3747beb6cc9b2ea09e7df0771492b6fec515717657531db06a7aa3fc6b0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.575712Z digest=sha256:68b40a999508cf76c0ca3c870827bc24ee4fc5cc894c5ad6e9aca307f74d0a7d

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=sha256:9a205a46fb59168bb70d959d1a0904879e737251499d59712c2a8da6aad410dd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.585568Z digest=sha256:ec259f474e93785e6a379528aff4ca40620a1d1bb704c074864ddd058a9bd8c7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.589793Z digest=sha256:3f7b52b90bef7fe74a6b9ebdf47b38b4fe825763b3c7026bc4e4fa8beb737a27

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.593953Z digest=sha256:7d863b1809994ffa6bd998cb83c4043cc545a68e49590e2105dcf22a90715c5a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.597468Z digest=sha256:84b3a7feb4a017089bae3eaf815f39a52ee30de069551ffa89d6b3444def554f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.601384Z digest=sha256:ee130e74339b8569f24676a0fb949d8d604f255c18f17a44c4ecf5f36444a994

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.605392Z digest=sha256:35af9649279aa5528c74992c516ac6c3d0a855c14a9f4e7e91458e0264dfdcaa

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.610521Z digest=sha256:8a9e0a685e7d53427c7c3ac822df9b2f5991a104e5b38056a973f83cc724f338

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.614497Z digest=sha256:e88c18a1a4da0b091673dd9d66447e405ee0a6219ba41e3347fbbc1a6eea7be6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.619325Z digest=sha256:39f686c3be06fb6f3f395853224c01815d94f8d6152a942c7d0fd5813e1badd5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.623972Z digest=sha256:841bb864994ab3d761da37fe0292727a894374ce3422159e0ffa1b2a85230ffc

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:a0137763073b98ebaa09a292224ae93a6f97f140f8746c1c182882e5af8de715

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.633002Z digest=sha256:458d8a8e7038641037ee89022389ed48ee5389c4390a450cd2f58a3bc31abb40

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.638231Z digest=sha256:2bd867a681e18498da49ce64265a0f0028f952df261c55f8c5f22633bf05749b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.642155Z digest=sha256:07e3598a9271322f76b6c4566616dcc9bcf617f81601f1861eb7064de5ecc261

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.645773Z digest=sha256:3993aa2f55d78c8b9316733ed35b8bd49f7052798e2b7cf41c4248832875458e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.649296Z digest=sha256:9179bc09e060738dd9d5c390c8257c0f1c895e247b00a91336ffcea64d844e5d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T04:59:47.653143Z digest=sha256:2aeeb1298632dc3286e0e5bd8de8b12a6f6eb5f5b8cd35a1a675c256431d0f05

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

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