Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T16:50:37.023359Z
Paper Citation Record · LEDGER
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus
As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.13312.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 26812735-073a-4efa-b97a-1e7150c422a2 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.537924Z
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 9e4a5796-7e2e-407b-98d4-c2f0c7996f56 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.518602Z
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 6ce4f95e-6172-4018-a2c7-b9754539797d · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:50:36.895781Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aba8eec8-2f3b-4fe4-a80c-9f316782b5cb · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.482192Z
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 93fa3451-a0f0-4c04-9a13-b4f358ff24f0 · outbound
This paper cites Berti and J.-M.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Berti and J.-M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.459571Z
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 106a601e-4984-4032-94c4-af8693699215 · outbound
This paper cites Bambusi, J.-M.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bambusi, J.-M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.439545Z
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 552a05cf-6aa3-4298-9c46-2810af5d02fe · outbound
This paper cites Bernier, E.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bernier, E
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.416316Z
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 49ba59a1-43bf-4f9b-b8ce-65806c6a5af6 · outbound
This paper cites Bernier, E.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bernier, E
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.394549Z
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 a071bf12-321b-4568-b999-6206b6230821 · outbound
This paper cites Bambusi and B.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bambusi and B
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.374191Z
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 8841a635-7334-4de8-8148-f8600ab929de · outbound
This paper cites Bernier and B.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bernier and B
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.355175Z
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 7774317b-8c68-452d-b20a-c8bf2accc985 · outbound
This paper cites Biasco, J.-E.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Biasco, J.-E
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.337748Z
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 e8991181-a79e-42c3-bc30-17d83f70f309 · outbound
This paper cites Bourgain.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bourgain
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:50:36.944071Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e025ef1e-cc18-43ad-9754-4884b2a07b00 · outbound
This paper cites Bourgain.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Bourgain
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.307503Z
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 f7d294ad-9b99-443f-a662-2e9a74fa5100 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:50:36.954901Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 107c39ca-a684-4832-bf77-e4c0d4465a4f · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.268247Z
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 8a851308-d3aa-4d20-bcb2-171a5560596e · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.250345Z
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 fda76837-8d22-4775-b112-0a7d2747080e · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.233334Z
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 a73a78fd-7127-4c08-b5a0-92048edfbda3 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.216077Z
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 c8bd8671-ea31-4b31-832f-ba46010d1f14 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.196634Z
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 8e38a49f-7a17-4909-9a1e-c2cad0d3c716 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.178616Z
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 0e83ef21-806e-4fb9-9506-a770c4e8a955 · outbound
This paper cites Faou and B.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Faou and B
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.153962Z
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 a3944d7d-d02a-423c-ba3a-ce51ad197ca4 · outbound
This paper cites Gr\' e bert, R.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Gr\' e bert, R
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.134148Z
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 b8772c5e-a292-47fa-890e-72b19fc9cebc · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.116656Z
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 62f42f3b-7d60-46b0-be65-294ea4d1b374 · outbound
This paper cites Yuan and J.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Yuan and J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:50:37.099335Z
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 5083ba9d-0b56-41a1-84a5-33ce40446a13 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.081403Z
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 38ec8d4a-d77e-4810-a4e2-b30666d3a936 · outbound
This paper cites an unresolved cited work.
A Birkhoff Normal Form Theorem for Partial Differential Equations on torus Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:50:37.063904Z
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.
Pith citing papers
No inbound Pith citation observations are available.