Paper Citation Record · LEDGER

Birkhoff normal form via decorated trees

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2505.04547.

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

pith.paper-citation-record.v1
2505.04547 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:39:34.340605Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

30 of 30 outbound references displayed

verified exact10
verified fuzzy1
unresolved14
parse uncertain0
malformed identifier5
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 570d998c-5568-4b90-930d-3e24586f4469 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.221051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2b6c658-6610-472d-b738-6d88170acb03 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.601943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 015489a0-f5b0-4982-b92e-70e52d7e4511 · outbound

This paper cites Bernier, S.

Birkhoff normal form via decorated trees Bernier, S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.230342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68da3f79-f92f-4294-8e86-675b76641f6c · outbound

This paper cites Bernier, E.

Birkhoff normal form via decorated trees Bernier, E

Reference 4

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.581981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83457214-ff23-4526-be19-be1404f72554 · outbound

This paper cites Bernier, E.

Birkhoff normal form via decorated trees Bernier, E

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.239269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74ef1755-dce8-42cb-8fc3-4cde39f708d4 · outbound

This paper cites Bambusi, B.

Birkhoff normal form via decorated trees Bambusi, B

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T23:39:34.783796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 047a9bdc-25d3-42b8-ae93-3ea339a79ac7 · outbound

This paper cites Bernier, B.

Birkhoff normal form via decorated trees Bernier, B

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.247831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dee9ce0c-b417-4a22-b725-37e4bea20e4b · outbound

This paper cites Bourgain.

Birkhoff normal form via decorated trees Bourgain

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T23:39:34.771595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8a1c4aab-3532-4d1b-98d3-d0555c748da6 · outbound

This paper cites I-method.

Birkhoff normal form via decorated trees I-method

Reference 9

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.553531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a3e134a7-4553-4a9b-b475-0378daf05052 · outbound

This paper cites Derivation of normal forms for dispersive PDEs via arborification.

Birkhoff normal form via decorated trees Derivation of normal forms for dispersive PDEs via arborification

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.258128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 269a78cf-da9c-4ea2-b5d3-6f2d3ea052b5 · outbound

This paper cites Bruned, K.

Birkhoff normal form via decorated trees Bruned, K

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.262876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88dc7b28-ad32-4afa-80ad-1f8d402186e7 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.266558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbd6641b-6491-47e1-a9b2-18a65ff22674 · outbound

This paper cites upside-down.

Birkhoff normal form via decorated trees upside-down

Reference 13

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.518822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation abb5f917-092e-43dc-a69e-e10d083d7a98 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.505980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97bcc343-e92b-4e93-916b-15f25c88a904 · outbound

This paper cites Curry, K.

Birkhoff normal form via decorated trees Curry, K

Reference 15

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.492322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f98e3943-f8b9-4f1a-b745-9273f8a3bc58 · outbound

This paper cites Gr ´ebert.

Birkhoff normal form via decorated trees Gr ´ebert

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:39:34.758530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed646cf2-6e21-406a-893d-6c46663e1fe4 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.287109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4afd77e-c03a-4ba3-9713-42cae0a08421 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 18

Resolution: malformed identifier; doi_truncated, observed 2026-08-15T23:39:34.456189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc3399dd-db08-459c-a5b8-4aa030d58353 · outbound

This paper cites Iserles, S.

Birkhoff normal form via decorated trees Iserles, S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.296144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a5b7f08-ed67-4fda-b43c-88f99422d2be · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.300279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64291e9f-9b18-4988-be20-e7fab025a7fc · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.304425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 592f0c24-7db9-44a6-a5f2-228ea2aa2e02 · outbound

This paper cites Butcher series for Hamiltonian Poisson integrators through symplectic groupoids.

Birkhoff normal form via decorated trees Butcher series for Hamiltonian Poisson integrators through symplectic groupoids

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:39:34.642258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 949f4cf4-628e-473c-95ce-10fcdc1891fe · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.313062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e5681aa-b359-41ef-a993-b22e893609dc · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:39:34.747234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8316cbba-096f-4578-908d-053361ad6bce · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T23:39:34.735579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 732570f9-b225-4e53-a1c6-ab246eae02ba · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.404644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 261518d9-98c9-447f-9db9-10d58e6a9f1b · outbound

This paper cites P´erez-Marco.

Birkhoff normal form via decorated trees P´erez-Marco

Reference 27

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.388083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96874e8a-d38d-4bdf-a0bb-b9cb074a1cfa · outbound

This paper cites Krikorian.

Birkhoff normal form via decorated trees Krikorian

Reference 28

Resolution: verified exact; doi, observed 2026-08-15T23:39:34.373508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 08dde6ba-407e-4b02-81f1-40172f11934a · outbound

This paper cites Quasi-invariance of Gaussian measures for the $3d$ energy critical nonlinear Schr\" odinger equation.

Birkhoff normal form via decorated trees Quasi-invariance of Gaussian measures for the $3d$ energy critical nonlinear Schr\" odinger equation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T23:39:34.336223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3c12061-01e3-49ae-bfba-93f9cfc31111 · outbound

This paper cites an unresolved cited work.

Birkhoff normal form via decorated trees Unresolved cited work

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T23:39:34.724673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.