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Paper Citation Record · LEDGER

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2411.08146.

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

pith.paper-citation-record.v1
2411.08146 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T22:02:34.842872Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ece73838-1175-4a9f-821b-2fc4523e5903 · outbound

This paper cites Allouche, S.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Allouche, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.129897Z

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=arxiv_source observed=2026-08-12T22:02:34.786898Z digest=sha256:a8224e948ffd6129483e07300ed98a78924e56c8d764cd8ea6ae5b2dd112b670

Observation bd0e0a34-24c1-4acd-8d54-1012caab7ba7 · outbound

This paper cites Bourgain, Applications of the spaces of homogeneous polynomials to some problems on the ball algebra.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Bourgain, Applications of the spaces of homogeneous polynomials to some problems on the ball algebra

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.118787Z

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=arxiv_source observed=2026-08-12T22:02:34.791875Z digest=sha256:b293b56405b74ed66693ef8bff6049106547ed6c1d011bda02b2a96d28a464f9

Observation c28060b8-caf4-48f8-aa06-def25aceeb36 · outbound

This paper cites Bourgain, On uniformly bounded bases in spaces of holomorphic functions.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Bourgain, On uniformly bounded bases in spaces of holomorphic functions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.106328Z

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=arxiv_source observed=2026-08-12T22:02:34.796125Z digest=sha256:e78d788190c630a2d5377d6090be391e0ac530c2482b449d01b19a264ef43920

Observation fe19a50e-f3bd-42a6-bb5e-5d37c74a69dd · outbound

This paper cites Burq and G.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Burq and G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.094580Z

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=arxiv_source observed=2026-08-12T22:02:34.800221Z digest=sha256:34ba174e86b63f5a93e1652ef0b1589bdbca0f2a2bacac2758acbc0fa99ad24f

Observation e8c12e5c-1d2e-4759-a7b6-219cca533ade · outbound

This paper cites On the $N$-set occupancy problem.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ On the $N$-set occupancy problem

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T22:02:34.804671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T22:02:34.804671Z digest=sha256:c715520f186dae5bd97870142ec100ecd92f386d03720bf319f17ee579c234b9

Observation 3e3b2ed8-6055-404f-b185-7680ee24c5bd · outbound

This paper cites Han, Uniformly bounded spherical harmonics and quantum ergodicity on S ^2.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Han, Uniformly bounded spherical harmonics and quantum ergodicity on S ^2

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-12T22:02:34.953969Z

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=arxiv_source observed=2026-08-12T22:02:34.809006Z digest=sha256:f5545b679a6f10c5caa205c37ef63361b9c17ac8298c7737397c11788414f341

Observation a5040803-6d31-4893-969c-fb0dcf4ce9d3 · outbound

This paper cites Jakobson and S.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Jakobson and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.083200Z

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=arxiv_source observed=2026-08-12T22:02:34.812828Z digest=sha256:7ccb88cda84241c2b5225e7998f3e3ee79d92badc8998b677eb772609fd05445

Observation ebad3ca8-4e6c-4184-8b0e-3910238b2fac · outbound

This paper cites Marzo and J.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Marzo and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.071287Z

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=arxiv_source observed=2026-08-12T22:02:34.816484Z digest=sha256:d6ab47f5e40e80d222f6907bf4789b4652070330f4df3f4b9fbfbfa169d118da

Observation ae07ccfb-c568-4bb0-8ceb-9e7ce6fcaafb · outbound

This paper cites Rudin, Some theorems on Fourier coefficients.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Rudin, Some theorems on Fourier coefficients

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.059543Z

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=arxiv_source observed=2026-08-12T22:02:34.820448Z digest=sha256:f8c975fd9cf50ba86193e3ab3a702632d03c768413a220c2f0a42e22b3d3ca06

Observation dd3fe05e-1f86-4000-bdf1-5fd2be614da4 · outbound

This paper cites Shiffman, Uniformly bounded orthonormal sections of positive line bundles on complex manifolds.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Shiffman, Uniformly bounded orthonormal sections of positive line bundles on complex manifolds

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.046504Z

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=arxiv_source observed=2026-08-12T22:02:34.824076Z digest=sha256:7b86c3e43e5c7b9616bf95136ee58f18b3a13b955a1673d7653076b9e52d0ae6

Observation 9c8fd00c-91f8-4b3e-9f10-41a5dc010a3f · outbound

This paper cites Sogge, Hangzhou lectures on eigenfunctions of the Laplacian.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Sogge, Hangzhou lectures on eigenfunctions of the Laplacian

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.033203Z

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=arxiv_source observed=2026-08-12T22:02:34.827809Z digest=sha256:cec1336b7b7c8a9febfbebaa951e8236521be7b432b66ee354e27f8422380745

Observation 92ea1453-14f0-4113-9551-807be30f043e · outbound

This paper cites VanderKam, L^ norms and quantum ergodicity on the sphere.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ VanderKam, L^ norms and quantum ergodicity on the sphere

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.019409Z

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=arxiv_source observed=2026-08-12T22:02:34.831890Z digest=sha256:1052fe7c5d9d05a3e500e2fa25ef2d2cb51071e04387b422546f9209f891462b

Observation 18a933cc-7ec8-4565-ab78-de84b5d0d070 · outbound

This paper cites Yau, Open problems in geometry.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Yau, Open problems in geometry

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:35.005630Z

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=arxiv_source observed=2026-08-12T22:02:34.835775Z digest=sha256:233184fd07286ae08a5eeba09768a1d4000c4fd1b0f7c4f3ec69079fd21d812e

Observation 738ccc55-75a5-4c7f-9b74-a25be8c5c435 · outbound

This paper cites Zelditch, Quantum ergodicity on the sphere.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Zelditch, Quantum ergodicity on the sphere

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T22:02:34.992580Z

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=arxiv_source observed=2026-08-12T22:02:34.839367Z digest=sha256:684b2e38cb67dcd035030c35a7ada3f5e12de45970c43c5a78dada6356041640

Observation 666bbecc-d4aa-4c5a-807a-00c60e4cfe1e · outbound

This paper cites Zworski, Semiclassical analysis.

Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$ Zworski, Semiclassical analysis

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T22:02:34.842872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T22:02:34.842872Z digest=sha256:890e6bb3ca49e53061139b901a5ba4d28e802996f646c6359ef46e8c52c8bda8

Pith citing papers

No inbound Pith citation observations are available.