Paper Citation Record · LEDGER

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system

As of 14 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.08058.

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

pith.paper-citation-record.v1
2506.08058 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:38:46.062060Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

33 of 33 outbound references displayed

verified exact0
verified fuzzy5
unresolved26
parse uncertain2
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d61eb22a-a483-4aab-8ed5-5135fa2e6ad3 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:53.284003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7331d784-2946-4b8f-b971-50a3bbad8efb · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:53.022696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1391bfba-21bd-432a-a46b-6daf55c694ba · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:52.771159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45e39127-a59c-47ac-a7cb-8fc327be1678 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:52.572744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bc59c8f8-5ba6-46bd-b8e0-f1658ae6e8c0 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:52.343841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 68547209-6520-4fac-8796-4957097def99 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 6

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T05:38:52.111071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 44755480-9500-4333-9bdc-c486a71024e6 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:51.776355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3bb3630-da48-4196-8b3c-ee681b5852cb · outbound

This paper cites Nonlinear Sci.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Nonlinear Sci

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:38:51.541767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0fb0a298-fc89-4630-93f8-a7356a331fdd · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:51.307573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ccb49c7b-9f4b-4bd0-b735-80497b957c59 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:51.067722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 35bde935-7012-4c35-92ab-9aab461b6359 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:50.751077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 74154918-4245-48b9-8f83-1f66d4dbf707 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:50.454786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 607bb0a6-c581-4db5-b3bf-5d32e4e65634 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 13

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T05:38:50.114101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 51d51826-9a0b-4aa4-89a4-93b52e4ee117 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:49.870989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f0ea7c57-05c9-4104-b13d-885a8dc6f2c6 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:49.543512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation eec40878-9d0f-4133-a54b-c2b441f4b814 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:49.264683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c60ec135-3f9c-4ca6-8d7e-84be7143e778 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:48.972037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d2471082-e8a9-4845-8f85-6be55e4bdbec · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:48.782160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 04f2eaca-574a-4b86-842d-8ab2df87b8a2 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:48.493379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b04476d1-099f-4cab-8742-32fa19084ee4 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:48.259180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4edac853-8764-433d-8620-db56babf25fb · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:48.033491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4faf630a-db6c-46e6-9805-d3d03928386a · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:47.838006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f8370344-5186-4359-81f7-3b9397cbcd6f · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:47.769993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fc356ae0-e005-4463-b959-59a275055a74 · outbound

This paper cites Neural Syst.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Neural Syst

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:38:47.629741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1aa4a749-ba52-4286-ac48-5536ff8947b2 · outbound

This paper cites Fuzzy Syst.303785.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Fuzzy Syst.303785

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:38:47.485661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b61a5487-ff7a-4045-b99c-66c394433bd8 · outbound

This paper cites Sin.63078704.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Sin.63078704

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:38:47.288556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7d58b739-d642-457f-b71e-c0434430f091 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:47.117503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fd2cf263-975a-43b8-a90c-560b55b07f08 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:46.992698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e2b39244-593e-465a-a55c-ab7c92a73ed7 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:46.808657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f3556410-3722-4877-90f8-5d27702f759c · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:46.709472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c2f4a8f0-ee91-4b89-8ede-704400da8a76 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:46.610768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9698b326-77fa-4f17-8c3d-f8af04edb4b5 · outbound

This paper cites Aging2323.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Aging2323

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:38:46.479632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 64066bce-85b3-44b9-b61b-0de4ba40ed10 · outbound

This paper cites an unresolved cited work.

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:38:46.313494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.