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Paper Citation Record · LEDGER

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces

As of 13 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2605.30679.

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

pith.paper-citation-record.v1
2605.30679 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T22:08:34.035595Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

9 of 9 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d43bb7a-7f0b-4952-905e-7f7f29eb1849 · outbound

This paper cites The proof of the l 2 decoupling conjecture.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces The proof of the l 2 decoupling conjecture

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T22:08:34.035595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:fce645bc90d54649e6c91c230fa2479e3f8676509e67e94f7efc3d66e07e85c0

Observation 88f516de-ca27-492c-b272-9084582ff8ba · outbound

This paper cites Eigenfunction bounds for the Laplacian on the n-torus.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces Eigenfunction bounds for the Laplacian on the n-torus

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T19:46:10.233589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:a7f474ead01e0c6a16d2f80cd0355eb37a8e36f4f5ccc18d63d93a59e6e5b904

Observation 855da5cc-a854-45c6-b4d9-1902a08d04ce · outbound

This paper cites Zonal states and improved $L^\infty$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces Zonal states and improved $L^\infty$ bounds for eigenfunctions of magnetic Laplacians on hyperbolic surfaces

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-08-12T02:24:08.314874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:22c66eb93d7f7fefe4862d6836391e9225f2858cdfd7707ff75bf144480d9946

Observation ef8303e0-f096-461f-9365-e773849e8230 · outbound

This paper cites L2 to Lp bounds for spectral projectors on thin intervals in Riemannian manifolds.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces L2 to Lp bounds for spectral projectors on thin intervals in Riemannian manifolds

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-01T19:46:10.239134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:2af97191b0c4f59a384034dbc8b35234b8920d98891e7a09c0aac7a0bc27d8e6

Observation b5dea53f-dbd0-4146-9cc9-69f8349d6845 · outbound

This paper cites Bounds for spectral projectors on generic tori.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces Bounds for spectral projectors on generic tori

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-28T22:08:34.035595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:17b2a7a0aee5e0bf15770816c433f81979d2ddb40def3c62590136f2302cbebf

Observation eaa99928-d631-4e75-a229-852272ca14f6 · outbound

This paper cites $L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces $L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-01T19:46:10.231700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:639b8b0e8032c9a5119566e32eb4e03c49d58dbebf5968714be6024266106baa

Observation 581d468e-82d8-4a9a-b7df-5ad5ac2bbd40 · outbound

This paper cites Lp norms, nodal sets, and quantum ergodicity.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces Lp norms, nodal sets, and quantum ergodicity

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-28T22:08:34.035595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:cea9713935910878a213f446d3acc18fbb912c55b6f7d59598b6be4931f3ccdb

Observation 32eb775f-51c2-487a-8826-11e7ad930d07 · outbound

This paper cites Equidistributioninshrinkingsetsand𝐿 4-normboundsforautomorphicforms.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces Equidistributioninshrinkingsetsand𝐿 4-normboundsforautomorphicforms

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-28T22:08:34.035595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:a2e76d41bec51c8407d9a66cb087acab96c3c9adffbc082f860373ae7f370cc8

Observation 2f974bd1-e3ea-4a4d-8b6a-62b8842784a0 · outbound

This paper cites 𝐿 𝑝 eigenfunctionboundsfortheHermiteoperator.

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces 𝐿 𝑝 eigenfunctionboundsfortheHermiteoperator

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-28T22:08:34.035595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T22:08:34.035595Z digest=sha256:2ff50df6223a54f609a3c463647020923f4e84255e491d34170d88536fa3e2bb

Pith citing papers

No inbound Pith citation observations are available.