Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:35:09.839837Z
Paper Citation Record · LEDGER
Approximating Pointwise Products of Quasimodes
As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.01037.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
16 of 16 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 21ed0ef0-9e49-4bd5-946b-cfc3ae4e13a4 · outbound
This paper cites Quasimode, eigenfunction and spectral projection bounds for Schr\"odinger operators on manifolds with critically singular potentials.
Approximating Pointwise Products of Quasimodes Quasimode, eigenfunction and spectral projection bounds for Schr\"odinger operators on manifolds with critically singular potentials
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:35:09.911652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d9fd567e-0bac-456c-9bac-60a7a0e729ff · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.111970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f768b1db-db7a-442d-b8eb-3dfa783876d0 · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.100645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e55e0f42-dccd-4c0b-a8a1-27dac156b9b2 · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.087322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02466352-397f-4100-95a6-da3143bc630e · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.071456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f1a13d4-49a9-4d91-9808-90f49f087acb · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.052950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 102593cd-93e0-4ce5-9300-ee04d7265938 · outbound
This paper cites Guo, X.L.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:10.038421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation de12597f-b911-4278-b2fe-50c0a8ddc859 · outbound
This paper cites Hirayama, S.
Approximating Pointwise Products of Quasimodes Hirayama, S
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:10.022756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7210c0b8-67af-4207-b7fd-20df73cc5e7f · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:10.010235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6d873714-3a5d-42fe-bbb7-dfca3d1fd731 · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:09.995681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b751868-26c8-4b2f-99c6-f4522a245e45 · outbound
This paper cites On Pointwise Products of Elliptic Eigenfunctions.
Approximating Pointwise Products of Quasimodes On Pointwise Products of Elliptic Eigenfunctions
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:35:09.890564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a5502b7-116f-4ea0-8950-210fc9657b11 · outbound
This paper cites an unresolved cited work.
Approximating Pointwise Products of Quasimodes Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:35:09.982476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 06e0bd74-ffa8-4aaf-b8c0-fca57a4ad629 · outbound
This paper cites Sogge, Fourier integrals in classical analysis, second ed., vo l.
Approximating Pointwise Products of Quasimodes Sogge, Fourier integrals in classical analysis, second ed., vo l
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:09.968475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0797df68-f6cb-437f-af81-24c3df418794 · outbound
This paper cites Sogge, Oscillatory integrals and spherical harmonics, Duke Math.
Approximating Pointwise Products of Quasimodes Sogge, Oscillatory integrals and spherical harmonics, Duke Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:09.952559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1287934c-7b60-4b54-927e-0c6081eec543 · outbound
This paper cites Sogge, Steve Zelditch, A note on Lp-norms of quasi-modes, Adv.
Approximating Pointwise Products of Quasimodes Sogge, Steve Zelditch, A note on Lp-norms of quasi-modes, Adv
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:09.939378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 054fa754-d8a7-403c-ad7f-a086c90aca0b · outbound
This paper cites Takaoka, Bilinear Strichartz estimates and applications to th e cubic nonlinear Schrodinger equation in two space dimensions, Hokkaido Mathematic al Journal, 37, (2008), 861-870.
Approximating Pointwise Products of Quasimodes Takaoka, Bilinear Strichartz estimates and applications to th e cubic nonlinear Schrodinger equation in two space dimensions, Hokkaido Mathematic al Journal, 37, (2008), 861-870
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:35:09.925464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.