Paper Citation Record · LEDGER

A survey on rigorous results for the dynamics of periodic FPU chains

As of 9 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2606.07018.

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

pith.paper-citation-record.v1
2606.07018 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T20:36:36.543636Z

measured 40 of 40 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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verified fuzzy0
unresolved37
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External citation measurements

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Outbound references

Observation e1ca6632-5329-4f87-8b11-7fc4b4d006f2 · outbound

This paper cites Akhiezer.The classical moment problem.

A survey on rigorous results for the dynamics of periodic FPU chains Akhiezer.The classical moment problem

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation d81a673e-c487-418a-9ad9-64f3d183abdf · outbound

This paper cites Amati, H.

A survey on rigorous results for the dynamics of periodic FPU chains Amati, H

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 1de3f19a-2de3-435d-9f14-721767596417 · outbound

This paper cites Bambusi, T.

A survey on rigorous results for the dynamics of periodic FPU chains Bambusi, T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 7ceaacc7-ea3f-4c4f-9730-e821a512bc8c · outbound

This paper cites Bambusi, T.

A survey on rigorous results for the dynamics of periodic FPU chains Bambusi, T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation a572be6c-6653-4549-90cf-66bce9c84ce5 · outbound

This paper cites Bambusi and A.

A survey on rigorous results for the dynamics of periodic FPU chains Bambusi and A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 0f356393-59b0-4518-9a83-1c0c16426713 · outbound

This paper cites Hamiltonian studies on counter-propagating water waves.Water Waves, 3(1):49–83, 2021.

A survey on rigorous results for the dynamics of periodic FPU chains Hamiltonian studies on counter-propagating water waves.Water Waves, 3(1):49–83, 2021

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation e4c4fda9-25b4-47a1-bdde-d4156ba6965f · outbound

This paper cites De Toda ` a KdV.C.

A survey on rigorous results for the dynamics of periodic FPU chains De Toda ` a KdV.C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 7873c451-75e0-4d8f-a6fa-0de905f075b9 · outbound

This paper cites On metastability in FPU.Comm.

A survey on rigorous results for the dynamics of periodic FPU chains On metastability in FPU.Comm

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 5173d8ec-6156-4d51-a1fa-99476bc2db74 · outbound

This paper cites Benettin, H.

A survey on rigorous results for the dynamics of periodic FPU chains Benettin, H

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation b82ee018-3a9a-4fba-b7c6-4e4d1523ef67 · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 96d59782-59ca-4909-bea1-ed98f42925e0 · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation b8529432-4e9c-4cf5-9555-75703b004054 · outbound

This paper cites Full derivation of the wave kinetic equation.Invent.

A survey on rigorous results for the dynamics of periodic FPU chains Full derivation of the wave kinetic equation.Invent

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 19774316-b31a-499c-a024-45cc6b1fceaa · outbound

This paper cites Long time derivation of the Boltzmann equation from hard sphere dynamics.

A survey on rigorous results for the dynamics of periodic FPU chains Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:22.338154Z

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Observation 9ffbe49f-71d0-4d6f-9751-e0c9b15414aa · outbound

This paper cites Douglas, Qi-Lu Yuan, Jiarui Zhang, Hao Zhang, and Wen-Sheng Xu.

A survey on rigorous results for the dynamics of periodic FPU chains Douglas, Qi-Lu Yuan, Jiarui Zhang, Hao Zhang, and Wen-Sheng Xu

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation e2a461b6-533b-4c76-82f3-399bce528448 · outbound

This paper cites Fermi, J.R.

A survey on rigorous results for the dynamics of periodic FPU chains Fermi, J.R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 840aa446-819d-43c7-87a7-cff73984305c · outbound

This paper cites Galgani, A.

A survey on rigorous results for the dynamics of periodic FPU chains Galgani, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 4616a47e-564b-40c6-a903-c92b6d071cc7 · outbound

This paper cites Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain.Phys.

A survey on rigorous results for the dynamics of periodic FPU chains Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain.Phys

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 40512a26-21e5-4455-ac0a-aef903e6ba88 · outbound

This paper cites Springer Nature Singapore, 2022.

A survey on rigorous results for the dynamics of periodic FPU chains Springer Nature Singapore, 2022

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation cb4a9ac0-cbd9-4902-80de-615b7a350447 · outbound

This paper cites Korteweg–de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves.

A survey on rigorous results for the dynamics of periodic FPU chains Korteweg–de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 9211f6be-5cad-468f-96f2-56d789eef878 · outbound

This paper cites Grava, A.

A survey on rigorous results for the dynamics of periodic FPU chains Grava, A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 943383ba-9ba6-42fa-a49b-c726140eece5 · outbound

This paper cites Guzzo, L.

A survey on rigorous results for the dynamics of periodic FPU chains Guzzo, L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 4dcac74b-5240-4cc9-9151-205fd2b37e88 · outbound

This paper cites Global Birkhoff coordinates for the periodic Toda lattice.Nonlinearity, 21(12):2731–2758, 2008.

A survey on rigorous results for the dynamics of periodic FPU chains Global Birkhoff coordinates for the periodic Toda lattice.Nonlinearity, 21(12):2731–2758, 2008

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 6e44dfa6-cece-4774-ba48-6e7a1481645a · outbound

This paper cites Results on normal forms for FPU chains.

A survey on rigorous results for the dynamics of periodic FPU chains Results on normal forms for FPU chains

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 37b92422-eb94-4ac6-93de-541d9b709318 · outbound

This paper cites Nekhoroshev theorem for the periodic Toda lattice.Chaos, 19(3):033120, 13, 2009.

A survey on rigorous results for the dynamics of periodic FPU chains Nekhoroshev theorem for the periodic Toda lattice.Chaos, 19(3):033120, 13, 2009

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation da4dff9a-c97e-4ed4-8d9f-877c25f337ae · outbound

This paper cites Resonant normal form for even periodic FPU chains.J.

A survey on rigorous results for the dynamics of periodic FPU chains Resonant normal form for even periodic FPU chains.J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation e8f6c8b1-9225-44a1-a7ca-3a7529b38219 · outbound

This paper cites Hiraoka and Y.

A survey on rigorous results for the dynamics of periodic FPU chains Hiraoka and Y

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation b06aee44-aff7-44ee-9020-f73b521692e8 · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 47b983a5-1fbb-4d06-a065-5e0422b4a9e2 · outbound

This paper cites Lochak and A.

A survey on rigorous results for the dynamics of periodic FPU chains Lochak and A

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 16a3e7c9-f2eb-48b2-a884-caea38579d72 · outbound

This paper cites Lvov and Miguel Onorato.

A survey on rigorous results for the dynamics of periodic FPU chains Lvov and Miguel Onorato

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 51e86530-34b6-4b4c-be80-d546d4d2b5b8 · outbound

This paper cites Maiocchi, D.

A survey on rigorous results for the dynamics of periodic FPU chains Maiocchi, D

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 6c5004db-ff56-46c9-b69a-5368d6884cd1 · outbound

This paper cites Maiocchi.

A survey on rigorous results for the dynamics of periodic FPU chains Maiocchi

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 4d9987b3-ebdb-42bb-9ca7-aaca208044b0 · outbound

This paper cites Maiocchi, A.

A survey on rigorous results for the dynamics of periodic FPU chains Maiocchi, A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation f14fd06c-5efd-4fbb-a841-a04a4b531fdd · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 9b36314d-6ffe-4b90-b034-89a004fbabc3 · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation c9863c77-5ac2-4d55-914a-50b956bdd73b · outbound

This paper cites an unresolved cited work.

A survey on rigorous results for the dynamics of periodic FPU chains Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 16e3f9a3-23e7-483c-9322-56faa0715ad7 · outbound

This paper cites Schm¨ udgen.The moment problem, volume 277 ofGraduate texts in mathematics.

A survey on rigorous results for the dynamics of periodic FPU chains Schm¨ udgen.The moment problem, volume 277 ofGraduate texts in mathematics

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 53853968-8a08-446b-b59d-6ace3297e886 · outbound

This paper cites von K´ arm´ an and M.

A survey on rigorous results for the dynamics of periodic FPU chains von K´ arm´ an and M

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Observation 43b9389a-94f9-479f-828e-840618cd3541 · outbound

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

A survey on rigorous results for the dynamics of periodic FPU chains Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:22.332828Z

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 05247b29-36dd-461f-b116-e1832249775d · outbound

This paper cites Validity condition of normal form transformation for the β -FPUT system.

A survey on rigorous results for the dynamics of periodic FPU chains Validity condition of normal form transformation for the β -FPUT system

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:17:22.335582Z

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

Observation 79d08678-481b-4232-a3cf-c764fb121c94 · outbound

This paper cites Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion.Nonlinearity, 30(7):2918–2929, 2017.

A survey on rigorous results for the dynamics of periodic FPU chains Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion.Nonlinearity, 30(7):2918–2929, 2017

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T20:36:36.543636Z

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Pith citing papers

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