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Paper Citation Record · LEDGER

Energy on spheres and discreteness of minimizing measures

As of 15 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:1908.10354.

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

pith.paper-citation-record.v1
1908.10354 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:59:58.832819Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:44:01.685647Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T15:44:02.311257Z

Reference resolution

52 of 52 outbound references displayed

  • verified exact11
  • verified fuzzy14
  • unresolved27
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0d44fcc-c716-4d5c-afa2-9a9e438e35f6 · outbound

This paper cites Nonlocal interactions by repulsive-attractive potentials: radial ins/stability.

Energy on spheres and discreteness of minimizing measures Nonlocal interactions by repulsive-attractive potentials: radial ins/stability

Reference 1

Resolution
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Source-reported events for the cited work

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Observation 1aa7d4c7-69fb-487e-9eb3-5a4f089b87e4 · outbound

This paper cites Singular Support of Minimizers of the Causal Variational Principle on the Sphere.

Energy on spheres and discreteness of minimizing measures Singular Support of Minimizers of the Causal Variational Principle on the Sphere

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:59:59.138274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c960709b-5da1-4872-bc30-707a5d1c0654 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3a405fe9-fcc5-4b7e-80f9-0e4a368df9d8 · outbound

This paper cites Geodesic distance Riesz energy on the sphere.

Energy on spheres and discreteness of minimizing measures Geodesic distance Riesz energy on the sphere

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:59:59.117113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.598925Z digest=sha256:b6b4f07ea54a32106ef43522935fad5d0d12316679ef666f71064999b9f61c79

Observation b68d75c4-fa40-48bf-adfe-bdffe0390abf · outbound

This paper cites Optimal measures for p-frame energies on spheres.

Energy on spheres and discreteness of minimizing measures Optimal measures for p-frame energies on spheres

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:59:59.095626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.604181Z digest=sha256:dde95b328c194c673067dc1595cdfed82269710f16d7655180c5cbd1eefb32dc

Observation b20e4f1c-925b-4d4b-9e2c-04a95c3f43f6 · outbound

This paper cites On the Fejes T\'oth Problem about the Sum of Angles Between Lines.

Energy on spheres and discreteness of minimizing measures On the Fejes T\'oth Problem about the Sum of Angles Between Lines

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:59:59.074251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3bb5dd34-4d0a-451a-bfdb-f9a3953ac04e · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

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Observation 4b1a91c4-5464-436e-9d0c-565c3283077a · outbound

This paper cites Borodachov, D.

Energy on spheres and discreteness of minimizing measures Borodachov, D

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fa13ddac-5741-43f9-9801-5be8746b9be9 · outbound

This paper cites On Representer Theorems and Convex Regularization.

Energy on spheres and discreteness of minimizing measures On Representer Theorems and Convex Regularization

Reference 9

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f6fb0333-68d7-4697-987f-0868d0bedd57 · outbound

This paper cites Geometry of minimizers for the interaction energy with mildly repulsive potentials.

Energy on spheres and discreteness of minimizing measures Geometry of minimizers for the interaction energy with mildly repulsive potentials

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bdbbcc72-dabc-41b5-b731-e7f6e0e8f32c · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ef04b449-4aff-438c-a9f9-e11c577493b5 · outbound

This paper cites The Convex Geometry of Linear Inverse Problems.

Energy on spheres and discreteness of minimizing measures The Convex Geometry of Linear Inverse Problems

Reference 12

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5e731a79-45fa-43c2-9a3c-fa8013f8e4c0 · outbound

This paper cites Dai and Y.

Energy on spheres and discreteness of minimizing measures Dai and Y

Reference 13

Resolution
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Source-reported events for the cited work

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Observation 72e8830a-bd3d-4b86-a184-08566451b17b · outbound

This paper cites Delsarte, J.

Energy on spheres and discreteness of minimizing measures Delsarte, J

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 5bb78c44-c637-4a15-bf2e-1f86f0dfdf85 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

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Observation ae272c8c-c79a-4d35-83d2-8edfa47bcad3 · outbound

This paper cites Minimization of the Probabilistic p-frame Potential.

Energy on spheres and discreteness of minimizing measures Minimization of the Probabilistic p-frame Potential

Reference 16

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation da7c2c51-24fd-42fa-a394-ef15d23686d9 · outbound

This paper cites Fejes T\' o th.

Energy on spheres and discreteness of minimizing measures Fejes T\' o th

Reference 17

Resolution
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Source-reported events for the cited work

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Observation 685187b2-4781-4cef-80f6-c14f5a2c7706 · outbound

This paper cites On the Support of Minimizers of Causal Variational Principles.

Energy on spheres and discreteness of minimizing measures On the Support of Minimizers of Causal Variational Principles

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 5354906c-1e4e-438f-b943-59f569ffa0a0 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c579dbba-5406-46ee-b380-45ebb7170da6 · outbound

This paper cites Gangolli.

Energy on spheres and discreteness of minimizing measures Gangolli

Reference 20

Resolution
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Source-reported events for the cited work

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Observation db4d172e-0259-4aaf-a336-b1925cb6695d · outbound

This paper cites Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials.

Energy on spheres and discreteness of minimizing measures Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials

Reference 21

Resolution
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Source-reported events for the cited work

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Observation b5aa43e7-f03a-400b-9918-018edf86c9c5 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 22

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Source-reported events for the cited work

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Observation 8513c298-a139-40ae-ae56-e51f554b0618 · outbound

This paper cites Kolokolnikov, H.

Energy on spheres and discreteness of minimizing measures Kolokolnikov, H

Reference 23

Resolution
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Observation 79918468-9231-4016-ad33-718740c77d61 · outbound

This paper cites Kozlov, V.

Energy on spheres and discreteness of minimizing measures Kozlov, V

Reference 24

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Source-reported events for the cited work

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 25

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Observation fce42d9a-c52a-43a0-9369-3777976ce1d2 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 26

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Source-reported events for the cited work

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Observation df85498c-5c94-42c9-895d-74f71c963394 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 27

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This paper cites Isodiametry, variance, and regular simplices from particle interactions.

Energy on spheres and discreteness of minimizing measures Isodiametry, variance, and regular simplices from particle interactions

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a7b14583-a912-4069-870b-cf6af6d292ca · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c0b32cff-bc2b-41cf-9edb-b15102edb9d7 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 691566aa-4d7e-4756-8d44-56f29c660250 · outbound

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Energy on spheres and discreteness of minimizing measures Mogilner, L

Reference 31

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Source-reported events for the cited work

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Observation 9d4c90ac-bfe2-4532-8f91-4623aee15c8f · outbound

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Energy on spheres and discreteness of minimizing measures M \"u ller

Reference 32

Resolution
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Source-reported events for the cited work

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Observation f70dea17-ccc7-4973-9acb-cc9f20cb1088 · outbound

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Energy on spheres and discreteness of minimizing measures P\' o lya and G

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e452c433-3d91-42a0-8aa2-9a9831f73333 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 34

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Source-reported events for the cited work

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Observation 3b6789ad-8842-4189-829f-ac9ada7e4dc7 · outbound

This paper cites Symmetric Informationally Complete Quantum Measurements.

Energy on spheres and discreteness of minimizing measures Symmetric Informationally Complete Quantum Measurements

Reference 35

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 15dc34db-b3ac-4e72-9119-31d706301be6 · outbound

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Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 26b4144c-5f5a-4f6c-a4b3-c8e2743ec303 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-14T10:59:59.379943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.759401Z digest=sha256:5aa74e46fc6e79b3dc03fdb2acfdcc83baddbc49eead84edd28faea31ae7251a

Observation 5f86a464-be55-43d8-987a-b8da7829515d · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.363682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.763951Z digest=sha256:911e1feb77d67d27eccd448392efb6c79ce353d80d08a0947a7a2b423c7a9593

Observation 4b89b23e-a779-4b2e-a171-32174314aa80 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.348021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.768601Z digest=sha256:c3b3a4152702345d02f5ff8ff7def316ace5c8754e3226c0e20440d497232127

Observation 5e1ce459-cd35-4459-b7f0-da4cc6bca207 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.331626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.773456Z digest=sha256:0fb3d9165aed0bb4b2ad1fcd4d0a8c8ad7e9f169c8e9131cf00ba23469a30fcc

Observation 713dacef-b487-4f98-a2dc-03e7b2a9ced7 · outbound

This paper cites SIC-POVMs: A new computer study.

Energy on spheres and discreteness of minimizing measures SIC-POVMs: A new computer study

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T10:59:58.777918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T10:59:58.777918Z digest=sha256:e8d610bf9b2e5167928d73d11c1a2e4e3b57dcea19dbcfb38682ebc8a623ff99

Observation 84a1f312-f967-483c-b04f-d9fabe0215c5 · outbound

This paper cites Shatalov.

Energy on spheres and discreteness of minimizing measures Shatalov

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:59:59.315972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.782823Z digest=sha256:8c00b249047c3395da0bcce7234b3eb10e1a1e6b07d9224504cc257b2f1396b1

Observation bc11012a-894f-4b71-8307-4fed06c9a3ea · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.300818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.788655Z digest=sha256:5071d5ceac76b8d42dfbf453c1077f8b7fe5e453f878f94be9fb91517944d29c

Observation e1d93797-82ec-4891-af39-43acbfce499a · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.285520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.793313Z digest=sha256:c5a4590dcf4e219f37c5342c9ff875bf0aed447ffe12bec47c1bdbef39b98b47

Observation 72d9cec9-9d8b-4617-b88b-b1d4927d2eb3 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.270779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.798036Z digest=sha256:6ea3522d916bcf7353739ef906057665d341197d9648c8c8c5b4a8a5d6bac7b4

Observation 10700920-8926-4141-9071-4334a590c9fd · outbound

This paper cites Tchakaloff.

Energy on spheres and discreteness of minimizing measures Tchakaloff

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:59:59.255891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.802729Z digest=sha256:860a9512a1dc3057d1f6e81d532afdad74429171f0a9baedebf4fb18ecc1c227

Observation c50907a1-e6d4-4cf8-af9b-231fcda6faed · outbound

This paper cites Splines are Universal Solutions of Linear Inverse Problems with Generalized-TV regularization.

Energy on spheres and discreteness of minimizing measures Splines are Universal Solutions of Linear Inverse Problems with Generalized-TV regularization

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:59:58.878423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.807372Z digest=sha256:ead9f7e7735a36e3ffe516414a3885d6cf5cbb35679ee1a5864e73c9b4164e3b

Observation 23410c4e-1c79-49a2-aad1-f84e270bf0d5 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.240491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.812396Z digest=sha256:68fa1ccf2eba726f8fe93a1474e0b5a326d7db1ba214f42fc304682ffd44c019

Observation bc921303-9702-4c4d-b230-85dfdd683905 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.225332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.817289Z digest=sha256:9317de7b6e49a1d95b79c13e4074cb6355578797d3d6b9e2391fc9bb7b1cdd07

Observation a8ec008f-8c95-4981-919c-06c4ab8605d3 · outbound

This paper cites Wu and D.

Energy on spheres and discreteness of minimizing measures Wu and D

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:59:59.209895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.822965Z digest=sha256:116b092d4cbe1f35c0caf1082581fa45e3a3a1ea324d5059455a8695370d4c98

Observation 5458ba71-e882-46b3-9447-d81095c9f674 · outbound

This paper cites an unresolved cited work.

Energy on spheres and discreteness of minimizing measures Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:59:59.193629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.828270Z digest=sha256:bc7f6854a2fc86108f4c52d006ca36bb7d52ae96a408ce2bb886710ffbd7bf9e

Observation c2fc12e7-bff2-4955-877d-5cb6ae95cc55 · outbound

This paper cites Zuhovicki.

Energy on spheres and discreteness of minimizing measures Zuhovicki

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:59:59.176877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T10:59:58.832819Z digest=sha256:c182f0e57583ba6291a366009cff629d2106603a94471a4bad53fff70990842a

Pith citing papers

Observation 1b77fb45-fa57-44dd-b0bf-44ce8df7a663 · inbound

Optimal measures for p-frame energies on spheres cites this paper.

Optimal measures for p-frame energies on spheres Energy on spheres and discreteness of minimizing measures

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.315915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T15:44:01.685647Z digest=sha256:f17008e0b6ec6edb84735c20ca3452bf8af8a3aa7eaf64984ecca0ff80231217