Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:12:46.729403Z
Paper Citation Record · LEDGER
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2506.00442.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:12:54.933748Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T13:46:59.953648Z
Reference resolution
32 of 32 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0911bd2c-bac5-46d4-ab6e-25c9bff80501 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:50.516905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 59f70dd5-f9b9-472e-b1e6-e3939c88a052 · outbound
This paper cites Compact embeddings of vector-valued Sobolev and Besov spaces.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Compact embeddings of vector-valued Sobolev and Besov spaces
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:50.364284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fd60cdc2-21ba-467f-a036-56dbd3466d67 · outbound
This paper cites PDE 14 , 4 (2021), 1125–1152.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds PDE 14 , 4 (2021), 1125–1152
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:50.237741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 18e69c83-68f8-4ae2-8342-c1f8ef5c6dce · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:50.114379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 52f982be-e789-4d0d-a9a4-22428645b096 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.996363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a97275a0-0c28-4a21-905b-36ecf7871b5b · outbound
This paper cites Forum Math.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Forum Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:49.847668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9bf3fdd3-ec1f-409e-931f-7ffb754138be · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.726302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 787737fd-9211-4b1c-b9ef-9c6d4aa4eebc · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.603366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 83f651a5-7dd6-45aa-b66e-43caab8e6b5d · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.439438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 76f17089-2fbe-4202-92f4-fc7036a9f233 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.280597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5d334032-0090-4f46-8ab6-bfdad3b8b726 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.150634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9a90b829-83c7-4749-93e7-c2490d9f59d3 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:49.035026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 98017eb8-8955-496b-8ddd-9a8f3a419273 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:48.917325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1f0fee0c-710d-437a-888f-2d5084c273ab · outbound
This paper cites Forum Math.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Forum Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:48.812571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12f03059-5e28-454e-ad32-2edf4352fde5 · outbound
This paper cites Duke Math.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Duke Math
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:48.722945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d9e2040e-d0af-4d09-88c1-7c66846885a0 · outbound
This paper cites E., Ponce, G., and Vega, L.Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds E., Ponce, G., and Vega, L.Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:48.627804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 90ab9bb0-cf82-442c-9641-cd73edeab61c · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:48.541766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d51d1ee6-b070-46ef-a780-c0ee63360d60 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:48.411625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e46285a1-cdad-4e89-b9ef-6c28ef2cadd5 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:48.303566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f52163bd-8ca9-4229-80fc-5fe80c995c42 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:48.280887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eb348dc4-f4b2-4489-8acb-6f226cd37b39 · outbound
This paper cites Sharp scattering for focusing intercritical NLS on high-dimensional waveguide manifolds.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Sharp scattering for focusing intercritical NLS on high-dimensional waveguide manifolds
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:48.210107Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3951e9e2-275e-49fe-9474-f34ee4ea26ee · outbound
This paper cites Almost sure scattering for the defocusing cubic nonlinear Schr¨ odinger equation on R3 × T.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Almost sure scattering for the defocusing cubic nonlinear Schr¨ odinger equation on R3 × T
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:48.101613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cb69049f-75f2-4ac6-b7db-7baf380b973d · outbound
This paper cites R.On Fourier multiplier transformations of Banach-valued functions.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds R.On Fourier multiplier transformations of Banach-valued functions
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:47.981756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0a47bd04-57d1-4ea6-9de4-a18139cc539e · outbound
This paper cites 130 (2016), 138–156.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds 130 (2016), 138–156
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:47.807011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 374d12b2-ad3e-4681-a311-850919a21171 · outbound
This paper cites S.Multipliers on fractional Sobolev spaces.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds S.Multipliers on fractional Sobolev spaces
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:47.626902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 82d79628-c2fc-4c02-8131-51c5f895473b · outbound
This paper cites Theory of function spaces , vol.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Theory of function spaces , vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:47.505817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f9f55eb8-79a7-4289-bfeb-6f43a9244ffd · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:47.456361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f79f9cb5-9a48-4760-abe0-d8990db41778 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:47.336125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aa2946cc-7866-4207-8a80-d2acdb692479 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:47.220892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35a94ba4-2665-4a46-bc73-4640952a6e1e · outbound
This paper cites PhD thesis, Uni- versit¨ at Z¨ urich, 2003.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds PhD thesis, Uni- versit¨ at Z¨ urich, 2003
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:12:47.072897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29d0033d-698f-42cc-a159-bc886d5a8e2f · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:46.945390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 47073dc6-d899-405e-a9f4-59dc36d3e191 · outbound
This paper cites an unresolved cited work.
Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:12:46.813673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation ab18e73c-e474-43ae-8c48-b589998bcd47 · inbound
On Dancer-type solutions for the Lane--Emden equation via semivirial-vanishing geometry cites this paper.
On Dancer-type solutions for the Lane--Emden equation via semivirial-vanishing geometry Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T23:46:23.729802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0c2b559c-c502-4e62-bbb4-d841947fd5b9 · inbound
Sharp mass-threshold for Dancer-type solutions of the focusing mass-critical NLS on $\Bbb R^d\times\Bbb T$ cites this paper.
Sharp mass-threshold for Dancer-type solutions of the focusing mass-critical NLS on $\Bbb R^d\times\Bbb T$ Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T13:46:59.955435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dc5cce0a-26ac-42b1-b286-9e6ed895ec81 · inbound
Almost sure local well-posedness for the nonlinear Schr\"odinger equations on $\Bbb T^d$ with non-algebraic nonlinearity cites this paper.
Almost sure local well-posedness for the nonlinear Schr\"odinger equations on $\Bbb T^d$ with non-algebraic nonlinearity Critical scattering for the nonlinear Schr\"odinger equation on waveguide manifolds
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:12:54.933748Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.