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Paper Citation Record · LEDGER

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.11072.

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

pith.paper-citation-record.v1
1908.11072 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:31:26.997627Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc90eff0-4686-4a52-a881-db6a8043e3a6 · outbound

This paper cites Large KAM tori for quasi-linear perturbations of KdV.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Large KAM tori for quasi-linear perturbations of KdV

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T10:31:27.048881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.892883Z digest=sha256:5ea964d50d505d193b2cac4a642e750d09a01c80a016bb601bac1388fc939aaa

Observation 837953ee-f12d-46d7-a20c-4abee4d20eec · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.358843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.897347Z digest=sha256:a4d50ccc52b349f59d39534e719fee7c5c6c31dec54b63398c57857af807460d

Observation f9097474-af36-443e-83e8-e7c708b37a1b · outbound

This paper cites Baldi, M.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Baldi, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.346995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.900996Z digest=sha256:688a59171de7dd9f8a818bce7622b6921ac9a28bd602870fb71ae793593f2a5b

Observation 838ffa8f-fb91-4cc3-add1-27f9fe2e530e · outbound

This paper cites Baldi, M.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Baldi, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.334268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.905346Z digest=sha256:fb01d27a2bf7ab7db3fdfa1d277b19227540757bccae7d3361b6a5ef28a963e9

Observation 84001539-cf32-4db4-82f0-a7e00d07e7b4 · outbound

This paper cites Baldi, M.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Baldi, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.321623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.909010Z digest=sha256:d7971f7688eac8817ed0ec50907005e0adc26e7f3c3de232ff83ae01b5b84e76

Observation 388bcdcf-1540-4b18-aee5-b10fdf763fbc · outbound

This paper cites Berti and L.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Berti and L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.309802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.912649Z digest=sha256:bbc000aef36f3553805b6d36c705f2f03cf205b61f6d6844b8f4f3da559a0302

Observation 62c68da1-737a-47fc-b034-d90daeeeaf29 · outbound

This paper cites Berti, L.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Berti, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.298005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.916568Z digest=sha256:b175cf5036fb267898e6d3d9364f965e8f60bb35443dad3aa93eec7f6b154f13

Observation 43bbefb6-5b91-4ad6-bf40-dfc7b0f6179f · outbound

This paper cites Bourgain.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Bourgain

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.285903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.919823Z digest=sha256:19c1a6944b19380450fd5a7d7bdea612ef3d6b25d691505dfc5cf3a613ed3ff5

Observation eaf71c43-2195-4d29-b457-c830944c5986 · outbound

This paper cites Bourgain.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Bourgain

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.268539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.923280Z digest=sha256:0a9d94360c5f4486164fa41bc4397a3dedd5b53a464ea3f367bdd55f49935b19

Observation 45387be9-cc1f-4a3b-a484-408a91180a79 · outbound

This paper cites Bourgain.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Bourgain

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.258973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.926766Z digest=sha256:d01aa219174c3122f9756c577f0676711e2b2f47c5f160d1842c8963ea61003b

Observation f73ef6cc-83be-400a-914d-f1cdec674e5e · outbound

This paper cites Bourgain.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Bourgain

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.249423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.930250Z digest=sha256:24a0d7dc50d06650713b2e77b7fa41a77ddac0712733e2e25d46e61ab8cbde2e

Observation c8a7b24a-6b52-419e-9658-b2f7dd9b7ba4 · outbound

This paper cites Bourgain.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Bourgain

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.239665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.934571Z digest=sha256:88b519344a49022c21b0f9aa54fb5e218d36516d66be0a03037ae201b0d1bc28

Observation 72e2e24b-cbaa-460d-a39a-b83a04ba80f5 · outbound

This paper cites Craig and C.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Craig and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.229875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.938055Z digest=sha256:2df89f31d3e993c7fc79eef04990f754f75c3227a84588f7c4abfd0668b4177a

Observation b628610e-b04c-48a0-9832-f9a69802e75b · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.220021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.941277Z digest=sha256:cdab7b4adf13a9b9430edf29e781923976306962db87290d4f815f17ab00748f

Observation 39d4df9c-031e-4095-83f2-115e266176eb · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.210380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.944598Z digest=sha256:00f025cdbd3dbcae002fcb26a8b9d63206b0d08e2596728c2861a7d61c116260

Observation c285b3ac-08de-4408-b753-9c54ac0d7d87 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.200642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.947919Z digest=sha256:0af1d9deefe757b023ccfe0cc421aafe76f5083061d396296a1c27b94dbb69d1

Observation 2bc96f74-bf51-4bf6-8f46-7229c6967cb8 · outbound

This paper cites Feola and M.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Feola and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.190397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.951448Z digest=sha256:afad3b8caebcfe1a459f7a2ecf70810974d94300d8a3c5f88acc194f3b51a41d

Observation 1f0d9a73-dc4f-4ac1-bc79-f3c829c2e348 · outbound

This paper cites Geng and J.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Geng and J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.180132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.954728Z digest=sha256:3c15dc8518ba4a7c106b78bb548e5e9682a2a5fa9b63f2411442eba6b99ba285

Observation e3298560-6f16-4430-baa3-624b9c161d3e · outbound

This paper cites Kappeler and J.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Kappeler and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.170874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.958068Z digest=sha256:812eeee0de025ed5cce0c2616e2c95e566501dca72e9536c8e872b6749ff2690

Observation 6b1f3a46-6b2f-4e3f-ae92-c7293c0fbd79 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.161127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.961166Z digest=sha256:d64002cf1adc964351415c279ebc81ee392921b48e453cc071441c2dd786272e

Observation 0fa5c155-65f6-4baa-ad7a-c5796aa9bd61 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.151508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.964756Z digest=sha256:b68868391f07ac9fc60198dd02f0404112077993367cf1b56664a36e7c31d59c

Observation 71566663-f079-4356-a114-a261ec7e523e · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.141975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.967969Z digest=sha256:fb2a4b22c19bcc7249d7b9b8c5787af45ee59cf90fd105fbb5ae0eaa6effeca9

Observation e09f2a04-c3cb-40dc-a59e-a20b322aa331 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.132434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.971141Z digest=sha256:dc4654afa8226aae348bb71dbaf57fce0ae1f3afde15d7323d5e9fcb376addde

Observation 0c9ecc32-11ae-4e51-b1bc-111967a12ecd · outbound

This paper cites Liu and X.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Liu and X

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.122859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.974414Z digest=sha256:b8d0b565608fb0623b91c9e360990ca9d4e5d295ac53b7d16328a7767846cc81

Observation ffe86545-8d6d-48d7-a9d2-22314897faf3 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.113176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.977571Z digest=sha256:25d8caf9224d53dd722e1280d99669ca6507999d01e7ac54abb4d193fb979d50

Observation b0415ce9-9e59-43c9-9252-f06a5f049881 · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.103408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.980845Z digest=sha256:e82d8a551dd77edd9ffce9cb761227e60484e9622fabcf33cda437f24bc653ce

Observation 13f039ef-d6cc-4af3-a0c3-fd4c34243314 · outbound

This paper cites P¨ oschel.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications P¨ oschel

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.092588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.984150Z digest=sha256:0fdd83196870ba4448d444af2762128e9198c559a9f69b133c9880a9ab453ff1

Observation d83bca2b-84d3-4eaf-a29d-dcb04a34b708 · outbound

This paper cites P¨ oschel.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications P¨ oschel

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.082196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.987380Z digest=sha256:4fb40f25e87c669b0dc81f08932aa000d933a74d6f288d5f67f5fe90123337b9

Observation c5e3ce93-1350-4234-86ad-beca7cc1237f · outbound

This paper cites an unresolved cited work.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:31:27.070960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.990960Z digest=sha256:106ba2927406000d8c72a158380890ae0b66a8da1d5e57cd4b9501e1311edd08

Observation 1cb95089-1df0-4d46-bad9-5886d1e3ce7b · outbound

This paper cites KAM theorem with normal frequencies of finite limit-points for some shallow water equations.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications KAM theorem with normal frequencies of finite limit-points for some shallow water equations

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:31:27.033102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.994099Z digest=sha256:1be8f0a48a5fedd42b4b909019ff22d97289b3f4b766504911662cde216ad52b

Observation 5d81ef93-109b-4dc1-a12c-81adf4145aac · outbound

This paper cites Zhang, M.

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications Zhang, M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:31:27.060013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T10:31:26.997627Z digest=sha256:d4899e3762debc8810b031fa15178cd3e6f3c5ce62e21cccfb7f911b01c4a35f

Pith citing papers

No inbound Pith citation observations are available.