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Paper Citation Record · LEDGER

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales

As of 22 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2507.05912.

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

pith.paper-citation-record.v1
2507.05912 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:24:57.252856Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c6511285-45d8-4cb0-b82c-5272ec012617 · outbound

This paper cites Roca-Cusachs, V.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Roca-Cusachs, V

Reference 1

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Observation e6999e2b-df32-463c-8dc1-d3f2e13ced08 · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 2

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Observation ee4f4f11-fb2e-4267-a128-fa09ea10e5a7 · outbound

This paper cites Mohammadi and E.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Mohammadi and E

Reference 3

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This paper cites van Helvert, C.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales van Helvert, C

Reference 4

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Observation d9615326-17df-4d09-928d-c3df5aa36c69 · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 5

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 6

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Observation 701fb2ba-8d4c-4fa3-96f9-147341a70684 · outbound

This paper cites Hurst, B.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Hurst, B

Reference 7

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Observation c7c0ac6a-801a-4cbd-a515-4dcfd905e3fa · outbound

This paper cites u rst, M. Herrmann, J. Guck, and M. Kr \.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales u rst, M. Herrmann, J. Guck, and M. Kr \

Reference 8

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Observation 169b2741-a788-47b1-9875-699e469e2001 · outbound

This paper cites Rother, H.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Rother, H

Reference 9

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 10

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Observation 9c8d5e5c-196a-4d0a-9ea8-e6c5919af992 · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 11

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Observation 9dd2a22e-67d7-4073-bd6a-bdc6f27d4b8d · outbound

This paper cites Catal \`a -Castro, S.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Catal \`a -Castro, S

Reference 12

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 13

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 14

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Observation 41e342f0-e7ce-47b5-87b3-f0e998df4f33 · outbound

This paper cites Kubo, ``The fluctuation-dissipation theorem,'' Reports on Progress in Physics , vol.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Kubo, ``The fluctuation-dissipation theorem,'' Reports on Progress in Physics , vol

Reference 15

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 16

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Observation e6681e1d-60a0-40b8-a6c3-79f85d827c0e · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Harada and S.-i

Reference 17

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Observation a1bfe563-4826-43cf-8450-6aacba20611b · outbound

This paper cites Speck and U.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Speck and U

Reference 18

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Observation 8cb7e86d-27e2-4e34-9dff-6d53c448909b · outbound

This paper cites Fluctuations and response of nonequilibrium states.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Fluctuations and response of nonequilibrium states

Reference 19

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Observation 43da0e22-b6a0-41f5-98cb-5d04ccd4a2ca · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Baiesi and C

Reference 20

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Observation ab33e195-0b4a-4988-a501-83e87d577230 · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 21

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This paper cites Turlier, D.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Turlier, D

Reference 22

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 23

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 24

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 25

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Observation c2dcc459-bd50-4748-a5c4-a61875177b07 · outbound

This paper cites Nishizawa, M.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Nishizawa, M

Reference 26

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Observation 2c21504b-cf20-4990-882a-6e56767d8bf3 · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Ebata, K

Reference 27

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Observation 01056d61-5881-4398-b4f9-ca2f527f7dc2 · outbound

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Martin, A

Reference 28

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Mizuno, C

Reference 29

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Observation 8f50a518-e718-49bf-be42-7b03128af91d · outbound

This paper cites Risken, The Fokker - Planck equation: methods of solution and applications.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Risken, The Fokker - Planck equation: methods of solution and applications

Reference 30

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 31

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Battle, C

Reference 32

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Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 33

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Observation ffb7ec7c-8ad3-4d8d-89a3-8eaad1952300 · outbound

This paper cites Knotz and M.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Knotz and M

Reference 34

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Observation cf1c1e5f-0429-46b8-8048-de8894ea104a · outbound

This paper cites Ronceray, ``Two steps forward – and one step back?– Measuring fluctuation-dissipation breakdown from fluctuations only,'' Journal Club for Condensed Matter Physics , July 2023.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Ronceray, ``Two steps forward – and one step back?– Measuring fluctuation-dissipation breakdown from fluctuations only,'' Journal Club for Condensed Matter Physics , July 2023

Reference 35

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Observation 0fcfd5b1-b638-46c7-88df-f37daad5b6eb · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:25:00.381170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.521189Z digest=sha256:726c31d2b0378aaaeee4e2f20184ebc9ee8c7804d0b82463c739fb9269cc4376

Observation 66f79b28-88b0-4920-88a4-e7af7e04d8d5 · outbound

This paper cites Dieball and A.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Dieball and A

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:25:00.370862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.553088Z digest=sha256:a28161ae56dee1301e20e9b8b6430e916122d5f2884b5eb4e34967477eaf134e

Observation 6a9f3cd2-6ccd-4a9b-80a5-4fe87b5e2f0c · outbound

This paper cites Siegle, I.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Siegle, I

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:25:00.266362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.587261Z digest=sha256:232e335fa8de8f8346515b8b1959a966f375ea6f8afb3298b38e2dd557bba614

Observation 8d4fe122-7002-4fa1-bacc-e515ce84d5e1 · outbound

This paper cites Müller, J.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Müller, J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:25:00.119114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.616836Z digest=sha256:affe385c52e1bbc0b19c6e60e573915a0e4f79394553d0c674991ac17b91eeb9

Observation e75d1f96-dd4b-4334-bd62-5e98c29fc814 · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:24:59.916859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.651040Z digest=sha256:7b0623848dd65b095252419d6f0438deff9a41d77dac2e8e26a06efe2c0be04a

Observation 521182ab-c8f0-4360-bcfa-1589098a9d4f · outbound

This paper cites Khan and T.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Khan and T

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:59.717075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.683193Z digest=sha256:9b3d0fd580b1520c5d93bf2cd0680da7a9f3d8e9916afd55a9b3fc5d2d26caba

Observation 67b72ce6-f334-4e49-ac99-678e5f6f8df4 · outbound

This paper cites Ginot, J.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Ginot, J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:59.431146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.719153Z digest=sha256:414162029063d19cfe04ce59cc25b8f0f553cb4223230b929956a0b2abd3dc2f

Observation 53ec2e6b-f6a6-42e7-a719-01b788b1b3c9 · outbound

This paper cites Caspers, N.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Caspers, N

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:59.240565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.758298Z digest=sha256:97dd35b6f4180c070e5d7037d5ce2e26f1abc75f386935a946d56ea3c52d7727

Observation a60478ca-b269-4e40-a7e4-3b6fd125e225 · outbound

This paper cites Universal Dynamics of a Passive Particle Driven by Brownian Motion.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Universal Dynamics of a Passive Particle Driven by Brownian Motion

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:24:57.394461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.796144Z digest=sha256:74a89809ba59fbac128e5716bcb6208de004bba6ab907857a9a32c99d3ec789a

Observation 2a288cf0-120f-47a2-85ec-8fc56343dc71 · outbound

This paper cites Höper, ``Mean back relaxation for a driven viscoelastic model system,'' 2023.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Höper, ``Mean back relaxation for a driven viscoelastic model system,'' 2023

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:58.993958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.840505Z digest=sha256:b645189abfc575b0ff4317a244fa98b050177d415a537dfb531156a82ccd2fc2

Observation 2f6eae70-fc59-4518-9da9-ffcd7f36ec13 · outbound

This paper cites Zwanzig, Nonequilibrium statistical mechanics.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Zwanzig, Nonequilibrium statistical mechanics

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:58.762511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.880599Z digest=sha256:6de1a0d40af247e9f6362c79e78e2227b01de845e6dbd2de41055f0db5e032b3

Observation 0c2beb44-acfc-43d3-b9dd-aa2bfaa887ad · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:24:58.543472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.911603Z digest=sha256:400346e0c7a89f07df49c1448e1e39c8fd3e77420dcfbbd2f8e61967c4f68eb5

Observation b1bb7169-fd01-46c0-8007-1286ccbe9f64 · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:24:58.399347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.951125Z digest=sha256:5ba1f8beae45a2bd82cc439e8a86e886b056177a24f5b98b9701a9f6b8ef5e60

Observation 96a58ced-78ef-40fb-881f-6eb0a31d2fb7 · outbound

This paper cites Rackauckas and Q.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Rackauckas and Q

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:58.195594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:56.978288Z digest=sha256:704e33d49d39cfc7ef75bc509f1df897a510f752715c5f5f6be97f3d3515d227

Observation 7645d713-6f1b-443b-9ef5-71de358da9c5 · outbound

This paper cites Seifert, ``Stochastic thermodynamics, fluctuation theorems and molecular machines,'' Reports on Progress in Physics , vol.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Seifert, ``Stochastic thermodynamics, fluctuation theorems and molecular machines,'' Reports on Progress in Physics , vol

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:58.166874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.010616Z digest=sha256:d7646b95483efc47323e719ca64a5bfa9502178736de29a0c0aea3cba2ea5b6c

Observation 2bfdbd70-8073-46ca-9e04-eeee62ac3821 · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:24:57.985670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.042591Z digest=sha256:8f7d8aa618afcd1dc5e820f68f3742e777969770399d2860c201b1ce8d375cee

Observation bbcdebc9-fcd8-46c1-9e9e-f188c0216799 · outbound

This paper cites Roldan, J.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Roldan, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:57.883969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.076107Z digest=sha256:7322ee0de633d58ad7c6ca3b2ce7c36a5f2a48be691374b26fe869900074ca1f

Observation 039556d7-9e03-4c84-9a73-f96b98255c5c · outbound

This paper cites Knotz, T.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Knotz, T

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:57.802639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.127827Z digest=sha256:2f42bfdcf651e6e1724102c638f24d415dee78687427b8e63336b5a9e87b8cba

Observation 495126fb-d393-4b1e-a839-071a7862d5d3 · outbound

This paper cites an unresolved cited work.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:24:57.741764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.165493Z digest=sha256:1e71aa75a754744d91fd2e299e0a0191921976dded107a6499bdd031217bc202

Observation 33f4c182-ed9c-4fad-a228-5aaeed1a8bb0 · outbound

This paper cites Farr \'e and M.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Farr \'e and M

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:57.673496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.201065Z digest=sha256:c390eb15bf2419a7a2ad05f00c4f0bfd75f0471320b191030e6bea8b3f9e2ede

Observation a31212ef-3eaf-4c9b-a1bd-4f77cc750ba9 · outbound

This paper cites Virtanen, R.

Evaluating non-equilibrium trajectories via mean back relaxation: Dependence on length and time scales Virtanen, R

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:24:57.586705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T19:24:57.252856Z digest=sha256:ff5ec4a0b90268baa5cecf79359ab6feed897c4a18f294e467a8d11a18d1b28c

Pith citing papers

No inbound Pith citation observations are available.