Paper Citation Record · LEDGER

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2501.11455.

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

pith.paper-citation-record.v1
2501.11455 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:20:33.803328Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

29 of 29 outbound references displayed

verified exact0
verified fuzzy18
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93d405ba-8281-49d7-ab2a-9696dcefd640 · outbound

This paper cites Adams, Well-posedness for the NLS hierarchy , arXiv:math/2402.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Adams, Well-posedness for the NLS hierarchy , arXiv:math/2402

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.124893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 83627746-e688-415d-8fe8-81986f4cc3d2 · outbound

This paper cites Babin, A.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Babin, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.691957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf29450c-6834-4758-adc9-bf9f31fbfba8 · outbound

This paper cites Bourgain, Fourier transform restriction phenomena for certain latti ce subsets and applica- tions to nonlinear evolution equations.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Bourgain, Fourier transform restriction phenomena for certain latti ce subsets and applica- tions to nonlinear evolution equations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.109327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bdaf6fbf-f0f4-401c-b59c-5f98b9fea90c · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:20:34.098676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fad7a06b-ac99-424b-afa5-6dcc6f7d75e3 · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:20:34.087547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c6176682-e25e-4ce2-9c68-454ef43861c4 · outbound

This paper cites Fukumoto and H.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Fukumoto and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.076417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16a9dd2d-94f5-4ba5-8fca-1feb770bf1c2 · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.713885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebf4b70a-8064-4e44-9113-fc3e6571117e · outbound

This paper cites Hasimoto, A soliton on a vortex ﬁlament , J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Hasimoto, A soliton on a vortex ﬁlament , J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.058911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e787fbb9-df78-40dd-8340-e6e1b3e9215d · outbound

This paper cites Hirayama, M.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Hirayama, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.047187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e3c9a0aa-ab33-4fce-b29f-d774f9626498 · outbound

This paper cites Huo and Y.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Huo and Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.035674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ea4f992e-5792-4fe4-8982-af1c2dcef371 · outbound

This paper cites Huo and Y.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Huo and Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:34.024865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bf7fcf13-2180-4891-b501-338d40d9db63 · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:20:34.014719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bde4e20a-2418-48d7-a9b4-a5e8e06f7fda · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:20:34.003963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5bd52800-09d2-4598-b138-3f8dd851479f · outbound

This paper cites Kishimoto, Unconditional local well-posedness for periodic NLS , J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kishimoto, Unconditional local well-posedness for periodic NLS , J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.743633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3915879-b79e-497f-a626-c68f252b227e · outbound

This paper cites Unconditional uniqueness of solutions for nonlinear dispersive equations.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unconditional uniqueness of solutions for nonlinear dispersive equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.747523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e84694c9-3560-444b-956f-8e96be5f285c · outbound

This paper cites Kishimoto, Remark on periodic Zakharov system , Electron J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kishimoto, Remark on periodic Zakharov system , Electron J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.987431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 844342b8-4172-48d3-b017-7ed96d65cc82 · outbound

This paper cites Kishimoto, Unconditional uniqueness for the periodic modiﬁed Benjami n-Ono equation by normal form approach , Int.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kishimoto, Unconditional uniqueness for the periodic modiﬁed Benjami n-Ono equation by normal form approach , Int

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.756245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77d158bf-12d0-4990-a71c-716657904e59 · outbound

This paper cites Kishimoto, Unconditional uniqueness for the Benjamin-Ono equation by normal form ap- proach, J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kishimoto, Unconditional uniqueness for the Benjamin-Ono equation by normal form ap- proach, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.970956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 013831d1-3603-48ec-ac51-826ba5d3db0d · outbound

This paper cites Kwon, On the ﬁfth order KdV equation: Local well-posedness and lac k of uniform continuity of the solution map , J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kwon, On the ﬁfth order KdV equation: Local well-posedness and lac k of uniform continuity of the solution map , J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.961299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation df7f6773-fc1c-4d6e-8d61-fc9cef1e2bb8 · outbound

This paper cites Kwon and T.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Kwon and T

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T18:20:33.770033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9227d7e1-da6e-43ab-b938-defd337b48cd · outbound

This paper cites an unresolved cited work.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:20:33.945456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f42efbc6-595e-4e61-bab1-3c3e5560c8fc · outbound

This paper cites Mosincat and D.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Mosincat and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.935530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16ea5bf9-bf0b-45b1-8bfd-27d111835d35 · outbound

This paper cites Mosincat and H.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Mosincat and H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.924553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 16653b3d-8063-48dc-aef9-6af1931dfe63 · outbound

This paper cites Segata, Well-posedness for the fourth order nonlinear Schr¨ odinge r type equation related to the vortex ﬁlament , Diﬀ.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Segata, Well-posedness for the fourth order nonlinear Schr¨ odinge r type equation related to the vortex ﬁlament , Diﬀ

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.913369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d6889ca4-10b2-4204-8027-2d72b9d2ca02 · outbound

This paper cites Segata, Remark on well-posedness for the fourth order nonlinear Sch r¨ odinger type equation, Proc.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Segata, Remark on well-posedness for the fourth order nonlinear Sch r¨ odinger type equation, Proc

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.900347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 92d4064b-2dd9-4d76-a35f-ae05410125cf · outbound

This paper cites Segata, Well-posedness and existence of standing waves for the four th order nonlinear Schr¨ odinger type equation, Discrete Contin.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Segata, Well-posedness and existence of standing waves for the four th order nonlinear Schr¨ odinger type equation, Discrete Contin

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.888328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c49374aa-0e1d-45d0-8560-485aa03f2176 · outbound

This paper cites Segata, Reﬁned energy inequality with application to well-posedne ss for the fourth order nonlinear Schr¨ odinger type equation on torus , J.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Segata, Reﬁned energy inequality with application to well-posedne ss for the fourth order nonlinear Schr¨ odinger type equation on torus , J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.877475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e7bc35c2-e7e7-4233-92d8-3cb2c6b45bb6 · outbound

This paper cites Segata, Initial value problem for the fourth order nonlinear Schr¨ o dinger type equation on torus and orbital stability of standing waves , Comm.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Segata, Initial value problem for the fourth order nonlinear Schr¨ o dinger type equation on torus and orbital stability of standing waves , Comm

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.865764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a93e9652-8e6d-43ff-86a7-4b726d9089c8 · outbound

This paper cites Takaoka and Y.

Unconditional well-posendness for the fourth order nonlinear Schrodinger type equations on the torus Takaoka and Y

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:20:33.852863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.