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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.892883Z digest=sha256:ef55110b6d3ef360871c1c049e87c72233203e6b1b9106ea8322effb38b15c42

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.897347Z digest=sha256:8f3f2bc0f1812a24a1a8069768ada2135380d2553fd43b6dff2bba1365eddfbc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.900996Z digest=sha256:10a9c5e5690537eff2a59f08c1b3c1b8960a6524073679491fef97190d8a7ea4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.905346Z digest=sha256:73e93fa922b233577fa8338f4c987e3cbbb4eb4f101e41ab2060b89228af9d49

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.909010Z digest=sha256:a2ae6d8428131558d1202e897235be70747da83e386adf2c8faefe55a5292b5a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.912649Z digest=sha256:98acf1364b848ecd31dee466ca8a71e4bc1787282160c07fd700d2ffed8e83b1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.916568Z digest=sha256:5cc76cda1e3f00ef800527f9eb60dc283d38e799808267de57aadca3eda4084d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.919823Z digest=sha256:6b9a3583c4d823b68ec7dc6c218790ff36044758c03a2f7c344525f57139e575

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.923280Z digest=sha256:a868d8fea6b0016f52f70b078fb7f8971836a00ebefb5a7ee8508fd437a215b7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.926766Z digest=sha256:df397a86771b658782cf136b01fef02d5e04ae51472c37c4bd9e4bb095d22dd6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.930250Z digest=sha256:526e7aa92e64650ce09c4b9265e5b2b84d6567e4e28a3982f627ced5ffc57cd4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.934571Z digest=sha256:cb989c0644422c055d00eb3deda7446c3995d3c752f1cc05fbc5f160da134c74

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.938055Z digest=sha256:7b9cd4fa0b3bf5bc5ae67b4e76c551d97dd2a508a4202868ec336db71d87b0d1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.941277Z digest=sha256:fcb0c5cf625f14882a68c0580cb805d61fedc8abbab3c62691a8ddcfb294d3e9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.944598Z digest=sha256:f6aff5e50460639f7183fe05fdfcab19994462a4b393214971609a151194f412

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.947919Z digest=sha256:1e6ad0c27e5454c913eee0e312ce7a863834c2037bb434b428d5e7246599cfe8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.951448Z digest=sha256:23fab67f1f92e0025d2509e675874e8916b478dc99356681eef00049f38f33db

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.954728Z digest=sha256:0892bae4dbe9471ecbbb3b8eefeebb8b32e9e891c3a63e0cc818345827631568

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.958068Z digest=sha256:1a904ec93a985d6f0f3d28aa470d5877b375d8c1366e956144bc37d616014b38

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.961166Z digest=sha256:28f59b4b201a0361d2e581d08dbfd85b1aa954cdfcb4d287ccdfed138f7efc52

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.964756Z digest=sha256:711f33345cd7c031018442441a5f1cf8b7b311fa29b6805a8e6d8b14b06f1719

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.967969Z digest=sha256:1935a5bb405f875d7b78ef7d1d0f8b676523f247ebeece731c7430f67434c71f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.971141Z digest=sha256:3f2a1d5390b8cea29d7e15e31543c2ffd787f6d5805655a3d3803940654d1dc1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.974414Z digest=sha256:8ef5a1386dbde53a597a0131db9e7e114e50d7fd890596df98b78feb09d38021

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.977571Z digest=sha256:5d37940fdc4895057c7d435e843a366e1bbf5b5e52b8405ead814411ef01a7ba

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.980845Z digest=sha256:11ebe3df60fad85bb7a8b3d87affd603f8ab1a7201e75079d0f5ecde39d2af5b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.984150Z digest=sha256:7156c377619a1a78d83b1921ad4cfa86d998f88ea8444053e46e6e0a0cc55ac8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.987380Z digest=sha256:2ae91bc773fa061f02045b40fdebe66a8a614fd441b019c218000137e3d24c30

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.990960Z digest=sha256:1c96f3d5fe989139514caddc64d18783d5bd76e0fc51251165e8cedd1079269f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.994099Z digest=sha256:c25f4da708b09e6443967437bf298f1d90aebc0c2e41ed7352f2bb19119d5a93

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T10:31:26.997627Z digest=sha256:eaecab715310040c419025a77f008bb8ec61a0a36428f056b32f384c36cbeb33

Pith citing papers

No inbound Pith citation observations are available.