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Paper Citation Record · LEDGER

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions

As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.10259.

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

pith.paper-citation-record.v1
2607.10259 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T13:06:09.824175Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 578f3975-0342-4a7c-88a0-bd617bda0ed7 · outbound

This paper cites Bourgain.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Bourgain

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:6f9acf6905097eff39b845da7da1752186ad9464665f179bef98a9df5f432834

Observation 77849f74-f83d-4391-91c3-74b089eac0f7 · outbound

This paper cites Cong, J.J.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Cong, J.J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:f37852c83472de3b7550d370bc9a3b19de8a2ed24a18a245f754b23e885c62e8

Observation 0eee7632-bfdb-496e-a2f3-f3ef56993b18 · outbound

This paper cites an unresolved cited work.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:1a04c2be4e2e8f647098050ac1acbfe300c97154e76ab20c39cc7b1364745ace

Observation 69b0741d-a4ff-40a5-9eb2-e4aeba8f3d4e · outbound

This paper cites Dolgopyat, B.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Dolgopyat, B

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:b21857426d10f9f359f14dd994c564cab502a19aa03fbacb0175c5b33a10ca02

Observation 97a5a373-8c4b-44f7-a2ae-5b0073f0508d · outbound

This paper cites Fröhlich, T.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Fröhlich, T

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:6271c3fd8e51f0bcdfc33a3dd116a9db3967a018db46b5f048b88db64bb9c25f

Observation 860410a2-bd0c-463c-8c4c-a265790631a9 · outbound

This paper cites an unresolved cited work.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:7a0b628173ea5188cb19cbe1efc5235edf453bb475e62dccf3818fa459f11cc6

Observation bf351973-c1fd-4016-9b0e-1cd4711f7612 · outbound

This paper cites Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:db671b8a3282d6388c5536b0ae3df51d2eb5a094b61deeac58addf94ca85ea5f

Observation 5d05d68e-da7a-4407-ab9f-5ad60fd323d1 · outbound

This paper cites P \"o schel.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions P \"o schel

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:5d7383cf18d0589a564ac420ad29b883223d24018665cd578214187b8bc3298a

Observation 3ebbac35-522e-4746-ac41-239c9ae9e1fe · outbound

This paper cites an unresolved cited work.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:986d3177dbcae4b6dc8e4dedb5d09fb53a7ed62b8c731b76c22db65229dcd7f0

Observation 4858b933-a320-463b-a1ae-9aa77d5899aa · outbound

This paper cites an unresolved cited work.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:73d35a814fe6613a417d1eec1408a6bcfc7c8b2856473e5e0e26795f6242c7ce

Observation ea8a6b57-77ef-4880-9c85-2a0052621bb6 · outbound

This paper cites Shi and L.

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions Shi and L

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T13:06:09.824175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:06:09.824175Z digest=sha256:d07ce9a5cb8f5360a171ba7f5d4fecac661b5ee6aed9972c47267ac33801b910

Pith citing papers

No inbound Pith citation observations are available.