Paper Citation Record · LEDGER

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum

As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.11259.

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pith.paper-citation-record.v1
2507.11259 v1

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measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T17:22:28.121120Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

30 of 30 outbound references displayed

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External citation measurements

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Outbound references

Observation 21f683c5-c498-41d6-92bf-221558586201 · outbound

This paper cites Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations.Ann.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations.Ann

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:32.028287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e86b0d92-4a48-460d-9485-c3fd25ed3a39 · outbound

This paper cites A critical center-stable manifold for schrödinger’s equation in three dimen- sions.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum A critical center-stable manifold for schrödinger’s equation in three dimen- sions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.888421Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d7e2490b-c3a9-45fa-b36c-5e5dbca71937 · outbound

This paper cites an unresolved cited work.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:22:31.695116Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 87a594b2-2c8a-4a45-9664-280a19f220d4 · outbound

This paper cites Spectra of lin- earized operators for nls solitary waves.SIAM Journal on Mathematical Analysis , 39(4):1070– 1111, 2008.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Spectra of lin- earized operators for nls solitary waves.SIAM Journal on Mathematical Analysis , 39(4):1070– 1111, 2008

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.611792Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 176c5cf7-cb22-4306-827a-5c36b6d9ef70 · outbound

This paper cites Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schr\"odinger Equations.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schr\"odinger Equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:22:25.798373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eafe9b8-7f06-448c-91bc-ff4fb229b543 · outbound

This paper cites Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:22:28.732893Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a53f195e-a405-4443-8c4e-644ef2a89b26 · outbound

This paper cites A survey on asymptotic stability of ground states of nonlinear Schrödinger equations.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum A survey on asymptotic stability of ground states of nonlinear Schrödinger equations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.490325Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3459af53-7bc5-400f-af36-6befe07d04cc · outbound

This paper cites A survey on asymptotic stability of ground states of nonlinear Schrödinger equations.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum A survey on asymptotic stability of ground states of nonlinear Schrödinger equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.370310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 13de74b8-3472-444c-86d8-9e50eb067e7a · outbound

This paper cites The asymptotic stability on the line of ground states of the pure power NLS with0 < |p − 3| ≪1.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum The asymptotic stability on the line of ground states of the pure power NLS with0 < |p − 3| ≪1

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.258153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2ea9b4bf-b940-4ce7-b22d-0bda40815684 · outbound

This paper cites Numerical verification of a gap condition for a lin- earized nonlinear Schrödinger equation.Nonlinearity, 19(4):829–852, 2006.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Numerical verification of a gap condition for a lin- earized nonlinear Schrödinger equation.Nonlinearity, 19(4):829–852, 2006

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:31.139012Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 65036e2c-4590-4733-b3a0-68745bd1ebb6 · outbound

This paper cites Proof of a spectral property related to the singularity formation for theL2 critical nonlinear Schrödinger equation.Phys.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Proof of a spectral property related to the singularity formation for theL2 critical nonlinear Schrödinger equation.Phys

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.999627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61ea63f8-1ed8-44dd-b709-3b33436464fb · outbound

This paper cites Stability theory of solitary waves in the presence of symmetry.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Stability theory of solitary waves in the presence of symmetry

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.791200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 54320787-c13a-4606-b36d-586f7e25012c · outbound

This paper cites Krieger and W.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Krieger and W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.689065Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b7db7b37-472e-49ac-9b69-beff859ba287 · outbound

This paper cites Hardy-type inequalities.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Hardy-type inequalities

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.597406Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f7f2307a-0150-4a8f-8fb0-1e38841f46f0 · outbound

This paper cites Uniqueness of positive solutions of∆u − u + up = 0 in RN.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Uniqueness of positive solutions of∆u − u + up = 0 in RN

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.499414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b8fcc275-bb8e-48eb-a9d4-38939777030a · outbound

This paper cites Asymptotic stability of solitary waves for the 1D focusing cubic Schr\"odinger equation under even perturbations.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Asymptotic stability of solitary waves for the 1D focusing cubic Schr\"odinger equation under even perturbations

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:22:28.595776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89397a90-75fd-4f68-aa62-d71761cbd804 · outbound

This paper cites Mode stability for self-similar blowup of slightly supercritical nls: I.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Mode stability for self-similar blowup of slightly supercritical nls: I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.428983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aef0c1ad-5da3-4c17-abdb-29c41bdb1765 · outbound

This paper cites On stability of self-similar blowup for mass supercritical NLS.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum On stability of self-similar blowup for mass supercritical NLS

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:22:28.360940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7d9c73c4-7973-4382-a061-d578252b43f6 · outbound

This paper cites Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation.Invent.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation.Invent

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.337295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 27c1555a-6c77-436f-96d1-f54f74a74b45 · outbound

This paper cites A Liouville theorem for the critical generalized Korteweg-de Vries equation.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum A Liouville theorem for the critical generalized Korteweg-de Vries equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.151622Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f01aaf30-4c38-4a17-b115-30e30e2e694a · outbound

This paper cites Asymptotic stability of solitons for subcritical generalized KdV equations.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Asymptotic stability of solitons for subcritical generalized KdV equations

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:30.077285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 118a8f82-f42d-4789-afce-a08c415e56f8 · outbound

This paper cites Spectral analysis for matrix hamiltonian operators.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Spectral analysis for matrix hamiltonian operators

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.995533Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e368a7c-cd6b-4ebe-9735-53d90e4f77db · outbound

This paper cites The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation.Ann.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation.Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.902719Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 52064dc4-46c9-4208-a432-3ceee1e957c4 · outbound

This paper cites Stable self-similar blow-up dynamics for slightly L2 super-critical NLS equations.Geom.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Stable self-similar blow-up dynamics for slightly L2 super-critical NLS equations.Geom

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.747237Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 97b7a5e4-c250-4aa0-88f8-73d3058f1569 · outbound

This paper cites On the formation of singularities in solutions of the critical nonlinear Schrödinger equation.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum On the formation of singularities in solutions of the critical nonlinear Schrödinger equation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.555860Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 35c28e84-8984-4b7b-9c3e-8358452759a2 · outbound

This paper cites an unresolved cited work.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:22:29.444670Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 66784f26-57a7-44f9-91dc-9dad8978fbad · outbound

This paper cites Dispersive estimates for schrödinger operators: a survey.Mathematical as- pects of nonlinear dispersive equations , 163:255–285, 2005.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Dispersive estimates for schrödinger operators: a survey.Mathematical as- pects of nonlinear dispersive equations , 163:255–285, 2005

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.322990Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 95113944-98a2-4ba7-a364-48d0d0d91b74 · outbound

This paper cites Stein and Guido Weiss.Introduction to Fourier analysis on Euclidean spaces , volume No.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Stein and Guido Weiss.Introduction to Fourier analysis on Euclidean spaces , volume No

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:29.193134Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6d602887-1653-4aa9-8601-bc7c2841d599 · outbound

This paper cites Weinstein.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Weinstein

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:28.984006Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f949b3a2-b81a-4d75-9570-e27a946c0a56 · outbound

This paper cites Blow-up dynamics and spectral property inthe L2-criticalnonlinearSchrödingerequationinhighdimensions.

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum Blow-up dynamics and spectral property inthe L2-criticalnonlinearSchrödingerequationinhighdimensions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:22:28.876353Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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