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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.825059Z digest=sha256:38cb09ad5d372b75dc6b24a775522148b65ba87e50b6e2218bffbe97e6dead68

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.830023Z digest=sha256:04368af217248ea286dd40f7525c387be8c3fdf5599ef1ebad73689f403e4118

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.835531Z digest=sha256:a6e4720f42e9de0be4aec2eccd0fe29c8d93a0fdeef93b36d18cf165ca8f8f6f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.840463Z digest=sha256:71959b1aaae442f781c5c3b812052396cb843420ac0a3b037d6973062b347025

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.845291Z digest=sha256:a715b3a510ea3adf6e410f80386e72533c90f8e7fccd4d5f9036b80557ca50c7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.851405Z digest=sha256:af3eede38da8b14822f15b3187f16133293cdd6ad6bf9995f4ad04b53330bd33

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.855968Z digest=sha256:4fcf15461c620fc81d8b937425feb0124e3a963112d85a68219a0ee4e30b19f8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.860512Z digest=sha256:ca14dc0c0bc794e1a5c29bd892ac4afdb92ddeb2667e056971e0a2dc96498ee4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.865234Z digest=sha256:7e64e92ac5a8e4276437f98ce67240d81eda6c1a7aac1d3ce874ac15b23928af

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.874405Z digest=sha256:ba2e5f927eb9377940593a355c464b12921c811bf94250578cadcecd92da6d3d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.878423Z digest=sha256:b5cd160d94acab5258711897e8f95f058420ed59fc46c2700aa33f825e3a12bb

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

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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.

source=pdf_text observed=2026-08-10T17:19:35.892806Z digest=sha256:f695cea49876846f3e4439183023c99adae6248a196630cbe67c50e44552cfd8

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.

source=pdf_text observed=2026-08-10T17:19:35.897563Z digest=sha256:6513f716ceaf610bb67263164b728a122255e150cb2b039f3f16f8d79f0a9ab9

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.

source=pdf_text observed=2026-08-10T17:19:35.902037Z digest=sha256:022c5feb717275e9a0201d04459b0baaf4797ca6d863cefab79d5f179743ffa7

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.

source=pdf_text observed=2026-08-10T17:19:35.906537Z digest=sha256:e08c0ef1b7ea3804082451bb7568e8ae3da248d82059a15d4c89c93fb836d4e4

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.

source=pdf_text observed=2026-08-10T17:19:35.911424Z digest=sha256:f264507ae39b6c6295d54f3a02f348a1573a8383f0beed62b3a0538fef43585c

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.

source=pdf_text observed=2026-08-10T17:19:35.917589Z digest=sha256:c935d18faf5f7381027bf09b35d14343b91f6dfc1abef3872d5d3d02f112a20c

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.

source=pdf_text observed=2026-08-10T17:19:35.922234Z digest=sha256:e8b50d2387c727a2682c6fbcc7e6f59e2a21727e0ce8b79f27e6f6ffd7fb23de

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.931241Z digest=sha256:97309d3d6c7a463f3f25e6bd2a7dd85b04149330a97330a1ec130dbfcdc32942

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.936462Z digest=sha256:a39b5a8906c2e310630c71a5e088f90711647476e30ea81a3db4ab4e83fb9621

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.941733Z digest=sha256:868184d2fd7474998983537b4b65ad5b2568e48b86ec78e0c1377f7b5245f7f2

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 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.950916Z digest=sha256:8d7a862b243c27dc6348e34444d3292aafa919483f7e9d30ef0673067c32b1b6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.955538Z digest=sha256:ba81f12de51cab7fa291048a8fcbb243451ac127c31c9d93b5bcbb543e9cfd24

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.960044Z digest=sha256:d6b2d884399aca60c15450e50a9620a71e2013eb9e21add2689fee68d08c4fd8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.965357Z digest=sha256:295657bc2eb9d8ccbd8cde53c459d04cecb04daf2ade95c28188b2400d0fc8c4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.970428Z digest=sha256:9cb1ba62d090c82bc5e0dc551fbb4a2e320bc787253977b965f98855b5b79a37

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.975118Z digest=sha256:586baa5a02ef8867f8f6cdaf0f4bfc6732f15dc79f312a891afc0fd5ac2a95b2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:19:35.979487Z digest=sha256:d98287d3f2a55dbb2dc84d0df62e8333f83e67944f93dbfa3d034ce9d8b6f1c5

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 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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