Paper Citation Record · LEDGER

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time

As of 18 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2501.12445.

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

pith.paper-citation-record.v1
2501.12445 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:19:35.998192Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:32:19.282040Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T00:32:20.936592Z

Reference resolution

38 of 38 outbound references displayed

verified exact4
verified fuzzy18
unresolved14
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f65f3e12-9a6e-4077-934c-adf76410fca1 · outbound

This paper cites This is clearly seen for systems of two fractons, which generically separate out to a fixed distance, and motion comes to a halt, reminiscent of a system with friction.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time This is clearly seen for systems of two fractons, which generically separate out to a fixed distance, and motion comes to a halt, reminiscent of a system with friction

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.697934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 30f90a49-be3d-451f-b6c0-7c183f80f6ff · outbound

This paper cites However, velocities of individual fractons involve the pair inertia function, and momenta of all other fractons.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time However, velocities of individual fractons involve the pair inertia function, and momenta of all other fractons

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.683250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7198990-a324-4fe7-b364-f959869ea00d · outbound

This paper cites Janus point.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Janus point

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.668610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a405137d-d9c1-4926-ad15-a92a6befbc9f · outbound

This paper cites 1a) A trajectory starting in Region3, moving towards Region 2a, will always pass into2a.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time 1a) A trajectory starting in Region3, moving towards Region 2a, will always pass into2a

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.655002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b161dfa0-064e-44c9-be59-87c1b8956b31 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.640365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d6b270f5-fed1-4075-974b-2fe4021685c2 · outbound

This paper cites Janus point.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Janus point

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.625894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5f2d6fe8-1962-4e1a-a1ae-195b9ddd1d57 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.610159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1ac2737-57c4-40be-9e7f-298c964bdd20 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.595890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 49489d63-c795-41ca-a3a1-23439b02a7bb · outbound

This paper cites big-bang.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time big-bang

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.582110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 954b7bd9-e928-4d36-b033-c6534fbb0102 · outbound

This paper cites Generalizing the approach in [1], we derive from the full Hamiltonian Eq.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Generalizing the approach in [1], we derive from the full Hamiltonian Eq

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.565088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation abcee55e-8088-47f9-9978-6c27b74d967d · outbound

This paper cites The full Hamiltonian Eq.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time The full Hamiltonian Eq

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.548564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 356a320e-b5e2-4608-b528-7d92052b83b9 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.534422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8db5aa52-634b-4278-be62-263fa0c22bcd · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.519916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f27ae2ad-1aa1-4bf1-9328-39b839342d23 · outbound

This paper cites H2−2 = 1 4 ( ˙x2 + ˙y2) = const for 2–2 states.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time H2−2 = 1 4 ( ˙x2 + ˙y2) = const for 2–2 states

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.505125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2a761a4-04ca-4114-a759-3215dc1a5414 · outbound

This paper cites galaxies.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time galaxies

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.490256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ed5ef01-4c38-4128-b664-6a30e91eebac · outbound

This paper cites Prakash, A.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Prakash, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.892806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 039c5dfc-5ca4-456f-8342-d97b61392698 · outbound

This paper cites Prakash, Y.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Prakash, Y

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-10T17:19:35.897563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e819f196-1ed7-499a-a610-058efb353f67 · outbound

This paper cites Gromov and L.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Gromov and L

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.902037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3543c8d-710f-47fb-9ef2-dd3bc5d6eed5 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 19

Resolution: malformed identifier; no resolver link, observed 2026-08-10T17:19:35.906537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eee12083-a9ba-451f-9535-270c60a8d7ce · outbound

This paper cites Pretko, X.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Pretko, X

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.911424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f74f277-c44e-465e-91a6-2e44599dac08 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.917589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9a5a1f5-8b3c-4476-a779-46146bb3cade · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.922234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17b38ae8-9cd3-4e04-b529-49dfaaa0fae6 · outbound

This paper cites Coleman, There are no Goldstone bosons in two di- mensions, Communications in Mathematical Physics31, 259 (1973).

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Coleman, There are no Goldstone bosons in two di- mensions, Communications in Mathematical Physics31, 259 (1973)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.436680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 509df886-c2a2-405c-b407-e461e5d32fc1 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-10T17:19:36.269267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9df61295-6c98-4bcb-ac69-860bbe7132b6 · outbound

This paper cites Barbour, T.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Barbour, T

Reference 25

Resolution: verified exact; doi, observed 2026-08-10T17:19:36.051008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c1d76c27-ec5d-4356-9d9d-823a93a5cef9 · outbound

This paper cites Goldstein, R.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Goldstein, R

Reference 26

Resolution: verified exact; doi, observed 2026-08-10T17:19:36.034950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03ea5cd1-4d58-42e7-aaac-e58afb0ef8b6 · outbound

This paper cites Lazarovici and P.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Lazarovici and P

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.422240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a04448d-bfe3-4dad-8226-a81f398c3b0a · outbound

This paper cites Pretko, Emergent gravity of fractons: Mach’s princi- ple revisited, Phys.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Pretko, Emergent gravity of fractons: Mach’s princi- ple revisited, Phys

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.407566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4958c1af-3028-4d42-9629-16817a980723 · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.392421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cd10fc3f-5854-4e21-8abd-2815bd72b018 · outbound

This paper cites Ledberg, Introduction to rational billiards (2018).

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Ledberg, Introduction to rational billiards (2018)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.377960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3c9650c-9bd8-4413-8807-72d4c2eed4b6 · outbound

This paper cites Arutyunov, Liouville integrability, in Elements of Classical and Quantum Integrable Systems(Springer In- ternational Publishing, Cham, 2019) pp.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Arutyunov, Liouville integrability, in Elements of Classical and Quantum Integrable Systems(Springer In- ternational Publishing, Cham, 2019) pp

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.363705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 28cb7e92-d7b0-466b-b8b9-44aea625f9c4 · outbound

This paper cites Lyapunov exponents in constrained and unconstrained ordinary differential equations.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Lyapunov exponents in constrained and unconstrained ordinary differential equations

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:19:36.180973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9aeb0ac3-0fb2-4234-b61e-4497baa30e9f · outbound

This paper cites Skokos, The lyapunov characteristic exponents and their computation, in Dynamics of Small Solar System Bodies and Exoplanets(Springer, 2010) pp.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Skokos, The lyapunov characteristic exponents and their computation, in Dynamics of Small Solar System Bodies and Exoplanets(Springer, 2010) pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.349168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation edf0109a-15bc-4400-9b76-4fc44e137aa5 · outbound

This paper cites Goldstein, J.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Goldstein, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.332211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae2b182d-e47f-46ff-ab8d-f20e2b1f7c0d · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.316662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 09e9f6f4-3924-4adb-bb14-7bf63ad79886 · outbound

This paper cites Classen-Howes, R.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Classen-Howes, R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T17:19:35.988910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5b69663-be01-4be6-89bb-ff628977626b · outbound

This paper cites an unresolved cited work.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:19:36.300614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5fadf961-2966-4066-8065-4314b1cd2d82 · outbound

This paper cites Pozderac, S.

Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Pozderac, S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:19:36.285163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 85434030-da5b-4cb6-8fb1-7fca75dc1a7d · inbound

Classical fractons with cosmological fixed points cites this paper.

Classical fractons with cosmological fixed points Classical Fractons: Local chaos, global broken ergodicity and an arrow of time

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:32:20.943945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.