Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:19:35.998192Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:19:35.998192Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:32:19.282040Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T00:32:20.936592Z
38 of 38 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f65f3e12-9a6e-4077-934c-adf76410fca1 · outbound
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
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.
Observation 30f90a49-be3d-451f-b6c0-7c183f80f6ff · outbound
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
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.
Observation e7198990-a324-4fe7-b364-f959869ea00d · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Janus point
Reference 3
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.
Observation a405137d-d9c1-4926-ad15-a92a6befbc9f · outbound
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
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.
Observation b161dfa0-064e-44c9-be59-87c1b8956b31 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 5
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.
Observation d6b270f5-fed1-4075-974b-2fe4021685c2 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Janus point
Reference 6
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.
Observation 5f2d6fe8-1962-4e1a-a1ae-195b9ddd1d57 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 7
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.
Observation e1ac2737-57c4-40be-9e7f-298c964bdd20 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 8
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.
Observation 49489d63-c795-41ca-a3a1-23439b02a7bb · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time big-bang
Reference 9
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.
Observation 954b7bd9-e928-4d36-b033-c6534fbb0102 · outbound
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
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.
Observation abcee55e-8088-47f9-9978-6c27b74d967d · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time The full Hamiltonian Eq
Reference 11
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.
Observation 356a320e-b5e2-4608-b528-7d92052b83b9 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 12
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.
Observation 8db5aa52-634b-4278-be62-263fa0c22bcd · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 13
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.
Observation f27ae2ad-1aa1-4bf1-9328-39b839342d23 · outbound
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
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.
Observation d2a761a4-04ca-4114-a759-3215dc1a5414 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time galaxies
Reference 15
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.
Observation 3ed5ef01-4c38-4128-b664-6a30e91eebac · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Prakash, A
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 039c5dfc-5ca4-456f-8342-d97b61392698 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Prakash, Y
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e819f196-1ed7-499a-a610-058efb353f67 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Gromov and L
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3543c8d-710f-47fb-9ef2-dd3bc5d6eed5 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eee12083-a9ba-451f-9535-270c60a8d7ce · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Pretko, X
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f74f277-c44e-465e-91a6-2e44599dac08 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9a5a1f5-8b3c-4476-a779-46146bb3cade · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17b38ae8-9cd3-4e04-b529-49dfaaa0fae6 · outbound
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
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.
Observation 509df886-c2a2-405c-b407-e461e5d32fc1 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 24
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.
Observation 9df61295-6c98-4bcb-ac69-860bbe7132b6 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Barbour, T
Reference 25
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.
Observation c1d76c27-ec5d-4356-9d9d-823a93a5cef9 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Goldstein, R
Reference 26
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.
Observation 03ea5cd1-4d58-42e7-aaac-e58afb0ef8b6 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Lazarovici and P
Reference 27
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.
Observation 2a04448d-bfe3-4dad-8226-a81f398c3b0a · outbound
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
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.
Observation 4958c1af-3028-4d42-9629-16817a980723 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 29
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.
Observation cd10fc3f-5854-4e21-8abd-2815bd72b018 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Ledberg, Introduction to rational billiards (2018)
Reference 30
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.
Observation d3c9650c-9bd8-4413-8807-72d4c2eed4b6 · outbound
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
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.
Observation 28cb7e92-d7b0-466b-b8b9-44aea625f9c4 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Lyapunov exponents in constrained and unconstrained ordinary differential equations
Reference 32
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.
Observation 9aeb0ac3-0fb2-4234-b61e-4497baa30e9f · outbound
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
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.
Observation edf0109a-15bc-4400-9b76-4fc44e137aa5 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Goldstein, J
Reference 34
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.
Observation ae2b182d-e47f-46ff-ab8d-f20e2b1f7c0d · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 35
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.
Observation 09e9f6f4-3924-4adb-bb14-7bf63ad79886 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Classen-Howes, R
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5b69663-be01-4be6-89bb-ff628977626b · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Unresolved cited work
Reference 37
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.
Observation 5fadf961-2966-4066-8065-4314b1cd2d82 · outbound
Classical Fractons: Local chaos, global broken ergodicity and an arrow of time Pozderac, S
Reference 38
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.
Observation 85434030-da5b-4cb6-8fb1-7fca75dc1a7d · inbound
Classical fractons with cosmological fixed points Classical Fractons: Local chaos, global broken ergodicity and an arrow of time
Reference 8
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.