Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:41:45.332971Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 4 inbound Pith citation observations for arXiv:2412.11845.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:41:45.332971Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:49:27.058271Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T21:01:12.577423Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5eaae3ff-7cee-474c-b368-b7bd8c108c91 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Baldi, M
Reference 1
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.
Observation eb1c9d3e-9e5e-4545-9456-c752d8302e41 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori
Reference 2
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.
Observation b257ec47-7d9c-4489-a2e6-a8365a174e9d · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, E
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d81050e7-061a-494c-a1cd-5dff08c0e6c7 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, B
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 842a70d1-fc55-43b0-b3e8-174b211177cc · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, B
Reference 5
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.
Observation 0e59c9e2-2894-4018-b513-51fe1fa9857d · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Dynamics of quintic nonlinear Schr{\"o}dinger equations in $H^{2/5+}(\mathbb{T})$
Reference 6
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.
Observation 3208cdc8-adb7-40af-a791-73b6c43caace · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, P
Reference 7
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.
Observation 9ae2deaa-f1bc-4a1a-ba24-0fb84f468145 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, Z
Reference 8
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.
Observation 3bead78e-6553-4107-bf90-22921eb2c702 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, T
Reference 9
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.
Observation 56fee972-2df0-416c-a33a-296e51cf0c54 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Asymptotically full measure sets of almost-periodic solutions for the NLS equation
Reference 10
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.
Observation 3e4f4f00-632c-42ec-b797-925ba5d8b027 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Biasco, J.E
Reference 11
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.
Observation 8ff6c484-bfc0-4ac0-8e96-b5bcd0e34382 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Biasco, J.E
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 988f331f-574f-48f2-a998-559eac73cf2a · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bohr , Almost Periodic Functions, Chelsea Publishing Co., New York, 1947
Reference 13
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.
Observation d5a781ce-3f44-4d10-ad1f-c7ac2fb099b7 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, Internat
Reference 14
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.
Observation 0ced7e56-f6ae-4541-b5db-c8cfb7d66438 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr\"odinger equation, Comm
Reference 15
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.
Observation 5b152214-3376-49b2-869b-022d28197834 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8fee6926-0697-4de5-ac01-25aee0da1070 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , Quasi-periodic solutions of H amiltonian perturbations of 2 D linear S chr\"odinger equations , Ann
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57cdef68-dc5b-44cb-99eb-54681ac34c96 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , On diffusion in high-dimensional Hamiltonian systems and PDE, J
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a3a1f0b-1d4e-43ed-8f0d-09c15a6c43e3 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , On invariant tori of full dimension for 1 D periodic NLS , J
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4760880-0830-4909-8229-b8e8b1112783 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bochnak, J
Reference 20
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.
Observation bc57733f-a1c6-4d2b-a3ff-0da06bcaea83 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Chierchia, P
Reference 21
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.
Observation dd3cbbb8-e716-4f13-b099-6ffe452565d3 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Cong , The existence of full dimensional KAM tori for nonlinear Schr\"odinger equation, Math
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8db63d57-7d3b-4c2c-9b57-e66cba06deb9 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 23
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.
Observation 047af598-ae4e-4773-8da0-2c0e9943107c · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 24
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.
Observation 5e5e5cb0-f3ed-4ae7-93eb-6496963d4d21 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Almost-periodic solutions to the NLS equation with smooth convolution potentials
Reference 25
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.
Observation 25a65c9e-d9d6-47ed-afe6-06595cf15412 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Craig, C.E
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 214b6fb8-f50c-4423-a8f8-1487c32561e0 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb6b73e4-dc95-4239-9069-9c0e72dffd28 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Eliasson, S.B
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99eea4bd-173a-4c0c-8120-eb7b9ab8d462 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Eliasson, B
Reference 29
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.
Observation f22c4a4a-4a4e-4532-856e-346adc749019 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N
Reference 30
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.
Observation 798a1de1-bd9d-43fe-a295-a49989a311da · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N
Reference 31
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.
Observation 5685f72c-68ea-4eae-98bc-f99053af79ef · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N
Reference 32
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.
Observation 6012806b-1653-4b73-b0d0-006c709d9900 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations urel, N. Tzirakis, Smoothing for the fractional Schr\
Reference 33
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.
Observation d4d6ac83-4038-4a19-8ec4-65f92929387a · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Feola, F
Reference 34
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.
Observation f53392e4-0d05-4748-b267-684bdb49eb1d · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Fr\"olich, T
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34bce49a-a2cf-4702-ba1e-1972454ced22 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 36
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.
Observation cad3e67f-0957-44af-b87d-2f24091b638d · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 37
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.
Observation 67cb6d4a-2d36-4f17-b5bc-ef9ac2ce7b5d · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations G\'erard, T
Reference 38
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.
Observation aea108ad-a5dd-492e-9f15-6b5740ba421a · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Gr\'ebert, T
Reference 39
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.
Observation 6f0b92f9-6787-463b-9d9b-94edcd92d571 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Gr\'ebert, E
Reference 40
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.
Observation a80ae2e7-9f89-45f1-b061-9aeb3ea3ed80 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab672c8d-8b2e-45fe-ae0c-af9bb177a8de · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kappeler, J
Reference 42
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.
Observation 97308391-5ce4-4d76-905e-3ab2efc1f025 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unconditional uniqueness of solutions for nonlinear dispersive equations
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cdd889e7-6d7a-409b-a4e0-4fe31c146739 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kappeler, B
Reference 44
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.
Observation c7cbce36-0392-43dd-9d29-66b538da0d97 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kuksin , Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum, Funktsional
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 490fbccd-9e6b-402b-9d7b-ef80b0e68eb2 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations o schel , Invariant C antor manifolds of quasi-periodic oscillations for a nonlinear S chr \
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c46cfea-5341-4ed9-9fb0-470dde28fdd8 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2918dcd-95d8-45a3-b3f4-78a3f174195f · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations McConnell , Nonlinear smoothing for the periodic generalized nonlinear Schr\"odinger equation, J
Reference 48
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.
Observation 598340b0-8c14-4fc1-89ae-d9334f92e1a2 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations P\"oschel , A KAM theorem for some nonlinear PDEs, Ann
Reference 49
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.
Observation a95ae0dc-82f9-4d09-842b-86eb4e612d99 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations P\"oschel , Small divisors with spatial structure in infinite dimensional Hamiltonian systems, Comm
Reference 50
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.
Observation 1a724d09-0db3-41d8-b588-4f5d3f250f49 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations o schel , On the construction of almost-periodic solutions for a nonlinear Schr \
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 386b739b-5b4f-4045-bc72-8e8cbd0ee120 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Procesi, M
Reference 52
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.
Observation aabae9db-a450-4426-b6b1-053cc850472f · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Safonov , The Abstract Cauchy-Kovalevskaya Theorem in a Weighted Banach Space, Comm
Reference 53
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.
Observation 6a14edb5-bd3b-4afe-986a-ad6b6b4b62f8 · outbound
Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Wayne , Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm
Reference 54
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.
Observation 0967815d-323c-49cd-b16a-c48e6f905f2c · inbound
Asymptotically full measure sets of almost-periodic solutions for the NLS equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1820b89e-e1e3-4506-b65c-1b656b45ea27 · inbound
The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 944ff3b3-2be3-45c4-bb37-8e2d90176623 · inbound
On almost periodic solutions to NLS without external parameters Infinite dimensional invariant tori for nonlinear Schr\"odinger equations
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04c987ff-9621-4bdb-9118-7cf8d4c7f0da · inbound
On the construction of almost periodic solutions for the derivative nonlinear Schr\"odinger equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations
Reference 8
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.