Paper Citation Record · LEDGER

A review on the kinetic theory of oscillator chains

As of 10 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2606.01358.

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

pith.paper-citation-record.v1
2606.01358 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:13:24.537123Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:54:50.394562Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact8
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a365c55f-698c-422b-a0e0-176fe513ac5d · outbound

This paper cites The frenkel-kontorova model: concepts, methods, and applications.Texts and Monographs in Physics (Springer, Berlin, 2004),.

A review on the kinetic theory of oscillator chains The frenkel-kontorova model: concepts, methods, and applications.Texts and Monographs in Physics (Springer, Berlin, 2004),

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T16:13:24.537123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e191d6b-209d-4f6a-957b-a25f4a7b26d5 · outbound

This paper cites Stages of Energy Transfer in the FPU Model.

A review on the kinetic theory of oscillator chains Stages of Energy Transfer in the FPU Model

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-01T21:56:15.136636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f1f0b61-0223-41c1-a78d-719e226b58d9 · outbound

This paper cites Quantitative fluid approximation in fractional regimes of transport equations with more invariants.

A review on the kinetic theory of oscillator chains Quantitative fluid approximation in fractional regimes of transport equations with more invariants

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.139569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2d2f9b87-73a4-40d6-8fad-44cac5456091 · outbound

This paper cites Bonetto, J.

A review on the kinetic theory of oscillator chains Bonetto, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T16:13:24.537123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfe6724f-e988-43a0-a10c-e968713c6800 · outbound

This paper cites Anharmonic chain with lennard-jones interaction.Physical Review A, 2(5):2013,.

A review on the kinetic theory of oscillator chains Anharmonic chain with lennard-jones interaction.Physical Review A, 2(5):2013,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T16:13:24.537123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c95de452-a822-451a-b6a1-a8b8e6690962 · outbound

This paper cites Dimostrazione che in generale un sistema meccanico normale ` e quasi—ergodico.Il Nuovo Cimento (1911-1923), 25(1):267–269,.

A review on the kinetic theory of oscillator chains Dimostrazione che in generale un sistema meccanico normale ` e quasi—ergodico.Il Nuovo Cimento (1911-1923), 25(1):267–269,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T16:13:24.537123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dc262c9-eda1-47d9-ae64-3aa9ce11e3da · outbound

This paper cites Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation.

A review on the kinetic theory of oscillator chains Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.121888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c65dc995-78be-4cf2-88e1-86784bf9092f · outbound

This paper cites The applicability of the third integral of motion: some numerical experiments.Astronomical Journal, Vol.

A review on the kinetic theory of oscillator chains The applicability of the third integral of motion: some numerical experiments.Astronomical Journal, Vol

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T16:13:24.537123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4b4f60e-492e-4ac9-a737-023d0228e5dc · outbound

This paper cites Application of Weak Turbulence Theory to FPU Model.

A review on the kinetic theory of oscillator chains Application of Weak Turbulence Theory to FPU Model

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-01T21:56:15.119000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c9f27bc6-c360-41d5-952d-080df8b8e2f8 · outbound

This paper cites Lukkarinen, S.

A review on the kinetic theory of oscillator chains Lukkarinen, S

Reference 10

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T21:56:15.128531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e13c358f-70fa-40eb-a6b8-0452ab0f69f7 · outbound

This paper cites Universal route to thermalization in weakly-nonlinear one-dimensional chains.

A review on the kinetic theory of oscillator chains Universal route to thermalization in weakly-nonlinear one-dimensional chains

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.129776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 35c03d5d-41cb-4d20-82ce-2ceed99f4912 · outbound

This paper cites Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System.

A review on the kinetic theory of oscillator chains Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-01T21:56:15.133774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3c54c731-096f-47ad-bb55-7d3af9455daf · outbound

This paper cites Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System.

A review on the kinetic theory of oscillator chains Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.110246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 807325ab-a3ed-4a2b-9e66-b6cdac40da8a · outbound

This paper cites Long-time existence and behavior of solutions to the inhomogeneous kinetic fpu equation.arXiv preprint arXiv:2512.21187,.

A review on the kinetic theory of oscillator chains Long-time existence and behavior of solutions to the inhomogeneous kinetic fpu equation.arXiv preprint arXiv:2512.21187,

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:56:15.123568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation d7ed2114-2be3-47fc-b56d-06012d5e7850 · inbound

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion cites this paper.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion A review on the kinetic theory of oscillator chains

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.394562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.