Paper Citation Record · LEDGER

Almost Global Solutions of Kirchhoff Equation

As of 18 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2505.01248.

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

pith.paper-citation-record.v1
2505.01248 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:33:37.520398Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:22:03.855614Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

verified exact0
verified fuzzy22
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87829b67-938d-4f09-81ae-bfcd58acb22a · outbound

This paper cites Arosio and S.

Almost Global Solutions of Kirchhoff Equation Arosio and S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:39.057561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d97dae29-c918-4584-a020-ab4afbd1f8cb · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:38.996573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 12ad8ed0-78e6-40c0-803b-3cb66e052de6 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:36.854948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b556ca9f-644c-4bfe-9c83-bc7cfee3ccd5 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:36.859740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0409331-c283-44a7-8465-ca7da7f70f64 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:36.863667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c68d96f-a91e-4c93-a749-001b599021c9 · outbound

This paper cites Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori.

Almost Global Solutions of Kirchhoff Equation Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:36.867681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f49d6a0-7a73-453c-8714-366b77a93a99 · outbound

This paper cites Bernier, N.

Almost Global Solutions of Kirchhoff Equation Bernier, N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.885410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3c1e5f0-395d-4422-9b68-4f865aef273e · outbound

This paper cites Berti and J.-M.

Almost Global Solutions of Kirchhoff Equation Berti and J.-M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.850246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b754f00f-ea65-4bdb-bd08-b2d975500b9a · outbound

This paper cites Bambusi, J.-M.

Almost Global Solutions of Kirchhoff Equation Bambusi, J.-M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:36.879709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0127c418-27e2-4959-9de7-39a68072cc1c · outbound

This paper cites Bernstein.

Almost Global Solutions of Kirchhoff Equation Bernstein

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.831019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 455c32e4-5401-45b8-862f-d858f61b1eb8 · outbound

This paper cites Bernier, E.

Almost Global Solutions of Kirchhoff Equation Bernier, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.004084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e89f7e2d-4876-4d3e-adbd-bc94c9caf544 · outbound

This paper cites Bernier, E.

Almost Global Solutions of Kirchhoff Equation Bernier, E

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.039142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a1daa09-32a7-4072-8b82-4d3bc5d13472 · outbound

This paper cites Bambusi, R.

Almost Global Solutions of Kirchhoff Equation Bambusi, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.798043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 43f40980-99ae-45c0-b1f1-b05848654533 · outbound

This paper cites Berti, R.

Almost Global Solutions of Kirchhoff Equation Berti, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.783396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dcab420f-2ea9-4256-8ddb-86280158cd1b · outbound

This paper cites Bambusi and B.

Almost Global Solutions of Kirchhoff Equation Bambusi and B

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.052417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5c3ef74-9346-429f-87c6-05890b5a20bc · outbound

This paper cites Bernier and B.

Almost Global Solutions of Kirchhoff Equation Bernier and B

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.057525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d2358ce-fa15-4a7a-bb98-4a5730fff632 · outbound

This paper cites Baldi, F.

Almost Global Solutions of Kirchhoff Equation Baldi, F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.677138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2f27880-67f1-4b1f-bc8e-a97117a7a080 · outbound

This paper cites Baldi and E.

Almost Global Solutions of Kirchhoff Equation Baldi and E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.591430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f10ff3c-5d8c-4ded-9b10-5bfe07e7545a · outbound

This paper cites Baldi and E.

Almost Global Solutions of Kirchhoff Equation Baldi and E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.579059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 76311786-c543-4459-8759-6bd475b1daf9 · outbound

This paper cites Baldi and E.

Almost Global Solutions of Kirchhoff Equation Baldi and E

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.565593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 45c13408-5591-4a43-bec5-ca8c1da63462 · outbound

This paper cites Berti, A.

Almost Global Solutions of Kirchhoff Equation Berti, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.551798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0334b031-b19d-4ab7-b901-ae7b0b3c02c6 · outbound

This paper cites Biasco, J.-E.

Almost Global Solutions of Kirchhoff Equation Biasco, J.-E

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.221087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ca46ff1-9aac-451d-b496-9f401ef90763 · outbound

This paper cites Bourgain.

Almost Global Solutions of Kirchhoff Equation Bourgain

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.302682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60d904cf-b962-4fc0-9306-b3f8b16c0b6d · outbound

This paper cites Bourgain.

Almost Global Solutions of Kirchhoff Equation Bourgain

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.305784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42f765f7-66d1-4532-987c-87e068731df4 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:38.508680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 180a77b7-78d1-445d-8f7a-2b46af59990c · outbound

This paper cites Chen and J.

Almost Global Solutions of Kirchhoff Equation Chen and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.336920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0073927d-28c0-40c4-b126-8c83ab7b95b0 · outbound

This paper cites Chen and J.

Almost Global Solutions of Kirchhoff Equation Chen and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.211265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cd978174-4504-4797-82a4-2f6eab0fa923 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:38.117045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9828766b-ebb8-4945-8a63-5688d3fb0976 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.324072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd97b438-1f4b-4d6e-aaec-70b7d6656bfb · outbound

This paper cites Corsi and R.

Almost Global Solutions of Kirchhoff Equation Corsi and R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:38.060580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2239cdd2-3789-4c9d-91bc-78abeb5d4a48 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.331484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0877c1cc-b50d-4d3b-b96d-d03cf63dd23c · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:38.031434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3695bd8a-c5b1-4f6c-a0c1-4c9a22924de9 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.340435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a392fb3-96c6-45d4-b61a-286f91f9abad · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.344378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ba3a358-3f39-49e2-993f-b788be41849a · outbound

This paper cites Faou and B.

Almost Global Solutions of Kirchhoff Equation Faou and B

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.348102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 012f5ebe-3a33-4f76-9b03-497c05c67fb0 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:37.989683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dd8bca35-abf6-4628-a316-27835017fa27 · outbound

This paper cites Gr\' e bert, R.

Almost Global Solutions of Kirchhoff Equation Gr\' e bert, R

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.357459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aa1c157-c90a-4578-86bb-568ed4bd6f0a · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:37.969354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ffae151c-0237-4fb6-bbbb-e1aae60fd060 · outbound

This paper cites Kirchhoff.

Almost Global Solutions of Kirchhoff Equation Kirchhoff

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.957050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7e9891b-3c58-40fc-93e4-76373c55ba1c · outbound

This paper cites o schel. Invariant C antor manifolds of quasi-periodic oscillations for a nonlinear S chr\.

Almost Global Solutions of Kirchhoff Equation o schel. Invariant C antor manifolds of quasi-periodic oscillations for a nonlinear S chr\

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.944207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 38b5c37e-aa5d-4da3-993e-69b1f898e3ac · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:37.929421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6dd44406-f9dc-417b-8dcc-58d4cdebd8ae · outbound

This paper cites Liu and D.

Almost Global Solutions of Kirchhoff Equation Liu and D

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.914671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d50114fe-f861-4e93-8360-0390a17046e2 · outbound

This paper cites Liu and D.

Almost Global Solutions of Kirchhoff Equation Liu and D

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.837503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3a55200d-009f-4783-a8db-1afab0c42501 · outbound

This paper cites Montalto.

Almost Global Solutions of Kirchhoff Equation Montalto

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.749632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c43208ea-ac18-43e5-b173-6076fb8cd178 · outbound

This paper cites Nishihara.

Almost Global Solutions of Kirchhoff Equation Nishihara

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.659099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e9d3536d-3e0a-45ac-81dd-9433fffa26b1 · outbound

This paper cites Tzvetkov.

Almost Global Solutions of Kirchhoff Equation Tzvetkov

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.618342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 29f29479-6470-48f6-b5a9-c66b0c39c741 · outbound

This paper cites Yuan and J.

Almost Global Solutions of Kirchhoff Equation Yuan and J

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-16T04:33:37.509229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2e92096-13d3-4f15-8004-7e8ca3cac1f5 · outbound

This paper cites Yuan and J.

Almost Global Solutions of Kirchhoff Equation Yuan and J

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:33:37.596803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9c0b14b2-570e-4f75-a345-c722b94d300d · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:37.582594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 26c02cfc-3b09-49a2-becc-2cc3c2987b01 · outbound

This paper cites an unresolved cited work.

Almost Global Solutions of Kirchhoff Equation Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:33:37.568699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 037401d8-835e-4cdd-ab4e-18457808d0ce · inbound

Quasilinear normal form for the Kirchhoff-Poho{\v z}aev equation cites this paper.

Quasilinear normal form for the Kirchhoff-Poho{\v z}aev equation Almost Global Solutions of Kirchhoff Equation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T11:22:03.855614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.