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Paper Citation Record · LEDGER

Optimal measures for p-frame energies on spheres

As of 15 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 1 inbound Pith citation observation for arXiv:1908.00885.

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

pith.paper-citation-record.v1
1908.00885 v3

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:44:01.979963Z

measured 74 of 74 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 2026-08-14T10:59:58.604181Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:59:59.090566Z

Reference resolution

73 of 73 outbound references displayed

  • verified exact9
  • verified fuzzy21
  • unresolved43
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0a053fe-3d5b-4698-985e-f7e0093c544d · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 1

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 498208b4-fc37-45bb-a287-167095e7f119 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 2

Resolution
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Source-reported events for the cited work

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Observation 7a8886e9-e288-4ee3-978e-dfd50407bd04 · outbound

This paper cites The Octonions.

Optimal measures for p-frame energies on spheres The Octonions

Reference 3

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.645616Z digest=sha256:6203f5b8a43b44adff9e687f5bcc84d651b553dd91ee94edd2a2f210e569b227

Observation ec23497a-37ef-4acc-b1d2-04d8cff4364f · outbound

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

Optimal measures for p-frame energies on spheres Nonlocal interactions by repulsive-attractive potentials: radial ins/stability

Reference 4

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation acfb9637-539b-4c03-bce3-c34e489d9738 · outbound

This paper cites Bannai and R.

Optimal measures for p-frame energies on spheres Bannai and R

Reference 5

Resolution
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Source-reported events for the cited work

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Observation d045eff2-1c8a-49a0-8e44-64adad4efff3 · outbound

This paper cites Bannai and R.

Optimal measures for p-frame energies on spheres Bannai and R

Reference 6

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 27910d21-24ab-4b6a-9731-28fc152832bc · outbound

This paper cites Bannai and S.

Optimal measures for p-frame energies on spheres Bannai and S

Reference 7

Resolution
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Source-reported events for the cited work

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Observation e9f8eecf-e72f-443e-a984-d68785e57a38 · outbound

This paper cites Bannai, A.

Optimal measures for p-frame energies on spheres Bannai, A

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 f0fd506d-a414-4bcc-97f0-96afac6774b0 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 9

Resolution
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Source-reported events for the cited work

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Observation a9d8bc5f-7b01-4e08-b913-df01754af269 · outbound

This paper cites Geodesic distance Riesz energy on the sphere.

Optimal measures for p-frame energies on spheres Geodesic distance Riesz energy on the sphere

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Energy on spheres and discreteness of minimizing measures.

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

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 326149d8-ec73-4212-90b1-d303b4158bac · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 12

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 5c17beec-4572-4ab1-ba9c-0a84001b552d · outbound

This paper cites Bourgain and J.

Optimal measures for p-frame energies on spheres Bourgain and J

Reference 13

Resolution
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Source-reported events for the cited work

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Observation 6199ad9f-3861-4ae5-89e8-3ba45c7637ae · outbound

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

Optimal measures for p-frame energies on spheres Geometry of minimizers for the interaction energy with mildly repulsive potentials

Reference 14

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f7058ec4-db57-4629-806e-1e5913e5af4a · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 46548810-8293-4844-b86c-67e193971ab9 · outbound

This paper cites Universally optimal distribution of points on spheres.

Optimal measures for p-frame energies on spheres Universally optimal distribution of points on spheres

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 b411dde6-a316-4188-bd69-a49b680fc24b · outbound

This paper cites The D_4 root system is not universally optimal.

Optimal measures for p-frame energies on spheres The D_4 root system is not universally optimal

Reference 17

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 3283bd5e-fbaa-47ee-a217-a5904eda1084 · outbound

This paper cites Optimal simplices and codes in projective spaces.

Optimal measures for p-frame energies on spheres Optimal simplices and codes in projective spaces

Reference 18

Resolution
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Source-reported events for the cited work

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Observation 12fdb1c0-7f08-4a26-8f49-cf03b1adc9cc · outbound

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Optimal measures for p-frame energies on spheres 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 bf0a794e-9296-4e44-922e-6c0a918042f0 · outbound

This paper cites Delsarte.

Optimal measures for p-frame energies on spheres Delsarte

Reference 20

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 210ad3e7-81c7-4b2a-8fde-5bae34a965ef · outbound

This paper cites Delsarte, J.

Optimal measures for p-frame energies on spheres Delsarte, J

Reference 21

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 28441ab4-65c6-49af-abab-5f5c47db6962 · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

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Observation ec901417-decf-4102-aa33-b657403f9693 · outbound

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

Optimal measures for p-frame energies on spheres Minimization of the Probabilistic p-frame Potential

Reference 23

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation de62a424-73f0-4013-ad01-93c155b49a93 · outbound

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

Optimal measures for p-frame energies on spheres On the Support of Minimizers of Causal Variational Principles

Reference 24

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9906023f-8068-4099-986b-cd0ab98a51af · outbound

This paper cites Freudenthal.

Optimal measures for p-frame energies on spheres Freudenthal

Reference 25

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 fd8062dc-2801-441d-b14d-6fdd2694ee31 · outbound

This paper cites Gangolli.

Optimal measures for p-frame energies on spheres Gangolli

Reference 26

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 f89a22d2-7aba-44fd-a3f2-28beb299ede5 · outbound

This paper cites Moments of isotropic measures and optimal projective codes.

Optimal measures for p-frame energies on spheres Moments of isotropic measures and optimal projective codes

Reference 27

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 06c1ee3d-6719-4bcb-bf95-8a57c07808c1 · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 28

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 9cefecfc-999a-4b8b-9e4d-60ada48152f9 · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 29

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 4bd40189-ded1-4356-a017-11656cf7680e · outbound

This paper cites Hughes and S.

Optimal measures for p-frame energies on spheres Hughes and S

Reference 30

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 b61a3d3a-caa8-49e3-85ce-7d60f3405af0 · outbound

This paper cites https://gforge.inria.fr/projects/mpfi/.

Optimal measures for p-frame energies on spheres https://gforge.inria.fr/projects/mpfi/

Reference 31

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 3ad12278-a1fc-4554-bf55-dc58decdf67b · outbound

This paper cites Koldobsky.

Optimal measures for p-frame energies on spheres Koldobsky

Reference 32

Resolution
verified fuzzy
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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 5fe1117f-65af-4a95-98e3-1d05c2d8de29 · outbound

This paper cites Kolokolnikov, H.

Optimal measures for p-frame energies on spheres Kolokolnikov, H

Reference 33

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b2e695a3-9966-4fd1-b0fd-6f83d69b8412 · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 34

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 e700abf2-4c7d-4dfc-a891-36a7b114a4e6 · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 35

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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 2ee0aef6-6d25-4d37-bb28-5a255363ac15 · outbound

This paper cites Lehrer and D.

Optimal measures for p-frame energies on spheres Lehrer and D

Reference 36

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 61a99ba6-1849-42a7-ace6-5e1dd6700f1f · outbound

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Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 37

Resolution
unresolved
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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 aff26add-ca5d-4c26-94fd-aeffea2f7f6d · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.840017Z

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=2026-08-14T15:44:01.812635Z digest=sha256:4bde6c763b3a438ae0f5a96f64665057cfa9b0c0147752f43bf3b65e71ff223b

Observation f98780b3-9c86-4c19-b280-8498712cb87b · outbound

This paper cites Lutwak, D.

Optimal measures for p-frame energies on spheres Lutwak, D

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.826312Z

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=2026-08-14T15:44:01.817718Z digest=sha256:6ec169628f997590805a88f2159e55ef0d6fe78e04c364adfcf51cfe8121ba06

Observation a9874a52-00ba-496e-995c-5f4fb6731774 · outbound

This paper cites On tight projective designs.

Optimal measures for p-frame energies on spheres On tight projective designs

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.164301Z

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=2026-08-14T15:44:01.822801Z digest=sha256:127df93e6e76c094c01ecf49286e3346a67052a34eff01c9605659a8d15c2799

Observation 78db7bae-3d33-43b0-936e-d82647f8563f · outbound

This paper cites A recursive construction of projective cubature formulas and related isometric embeddings.

Optimal measures for p-frame energies on spheres A recursive construction of projective cubature formulas and related isometric embeddings

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.142716Z

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=2026-08-14T15:44:01.829144Z digest=sha256:67aadab16068132ca996fd0658e318605ab9d8cbdd4a1c72e67af5e0f1a24f54

Observation b657d028-f306-4b24-bd56-b1d98326ba92 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.812135Z

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=2026-08-14T15:44:01.834061Z digest=sha256:a31a9c16b00e491082751b17cc992ac33e85d7da34c2a7bc0de5096e2c52e6db

Observation c92dd6cb-afca-4ca3-b930-52241438cc01 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.797554Z

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=2026-08-14T15:44:01.838297Z digest=sha256:ca57ddd873a4bdf5edb250b7d7430e1c40d9227748427b239cbcad26abd11bb0

Observation 74b8cab6-0dd0-4a37-8bea-7d2cf51035ba · outbound

This paper cites Mogilner, L.

Optimal measures for p-frame energies on spheres Mogilner, L

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.844873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.844873Z digest=sha256:329cc3bc3d09f5fcccd7b761d34471a2e4bac62d55050e9965d6962aea1076eb

Observation 94ba11e6-a9a3-4e33-a743-ab2370ed0bcc · outbound

This paper cites Nesterov.

Optimal measures for p-frame energies on spheres Nesterov

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.772894Z

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=2026-08-14T15:44:01.849172Z digest=sha256:b5d9071f56d066688dffe4894ee2a4ccad1ce2ff317aedcee44e89c18d2b0be3

Observation 2f89c7da-0bfb-403d-920a-fb7b302c26da · outbound

This paper cites Nebe and N.

Optimal measures for p-frame energies on spheres Nebe and N

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.758569Z

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=2026-08-14T15:44:01.853270Z digest=sha256:f6f857ec240269dbafa29498adf2143179e00ceb0eef0746ec92dba09487a7b4

Observation baa69882-428d-419c-8248-1290fbed0000 · outbound

This paper cites Remarks on Hilbert identities, isometric embeddings, and invariant cubature.

Optimal measures for p-frame energies on spheres Remarks on Hilbert identities, isometric embeddings, and invariant cubature

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.120823Z

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=2026-08-14T15:44:01.857299Z digest=sha256:592d9c4a5ea69d991a62bc86eb9ad99a0122a241e12f2c5f053bd6275e694a22

Observation 79c7a5b6-a7d5-4533-899d-5e5e99225fc3 · outbound

This paper cites The Shadow Theory of Modular and Unimodular Lattices.

Optimal measures for p-frame energies on spheres The Shadow Theory of Modular and Unimodular Lattices

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.099093Z

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=2026-08-14T15:44:01.861522Z digest=sha256:6022ae0b67bdbfb50eb2ab8099068bf76bd1ab02a23db435215c74bd74a0c5d6

Observation 163a3cac-7422-4f0f-ad0f-a546f195f792 · outbound

This paper cites Symmetric Informationally Complete Quantum Measurements.

Optimal measures for p-frame energies on spheres Symmetric Informationally Complete Quantum Measurements

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.865959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.865959Z digest=sha256:524032c00d6069fdf33cb0224b700eae2f46739dd7aaf856bf47d960f6024236

Observation 0b86ff88-66c8-49e5-8a0c-956807f85d3c · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.743285Z

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=2026-08-14T15:44:01.870545Z digest=sha256:b46169beb5bf152d3e377d2e73893d3cdf9fdc60af118d93cffb4eaabbd912a0

Observation d4f595ea-2d84-4ee4-82df-a155ac4d03fa · outbound

This paper cites http://www.sagemath.org/.

Optimal measures for p-frame energies on spheres http://www.sagemath.org/

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.729907Z

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=2026-08-14T15:44:01.874961Z digest=sha256:e80d2649b0d7989cce055640b682ddb96eee8684ee80b5557574816cf05e48bd

Observation 1268a3c6-fe48-4e95-9602-0b405b2e0b84 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.716567Z

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=2026-08-14T15:44:01.880386Z digest=sha256:ef548b737a07036ed79f0155c9284de00a2e3e86037f396b26600bc0d7a4d1b7

Observation 98cc7d85-d11a-4386-bccf-4b5fb1a45948 · outbound

This paper cites Schneider.

Optimal measures for p-frame energies on spheres Schneider

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.703039Z

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=2026-08-14T15:44:01.885112Z digest=sha256:9f9fe43edb5e02b9244a5cfc27fb56e62477098c9c514e57e5d1f39fe4bbae24

Observation 92eef2b6-ca51-4402-b3b2-0272462266e7 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.690006Z

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=2026-08-14T15:44:01.889855Z digest=sha256:3eba71b4a0cc727308ef9c5b55f0a22a5a818d473e34779e028374cca49e8501

Observation 34d44497-d170-4677-957c-e6f16d2673de · outbound

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

Optimal measures for p-frame energies on spheres SIC-POVMs: A new computer study

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.894671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.894671Z digest=sha256:782b23f2a0c31940c588f60eea71e94c72b55988f29cc5194564c946e8071a1a

Observation b180d0bb-6919-4bcd-ad3e-bb96e0baa706 · outbound

This paper cites Shatalov.

Optimal measures for p-frame energies on spheres Shatalov

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.899799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.899799Z digest=sha256:af96a6d30f933b125d16044be66f19b7cef716bf81f34e03486b36d6b0311a6f

Observation faf93ccd-2a15-4a78-b84a-dbce3e4ccc92 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.667225Z

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=2026-08-14T15:44:01.904696Z digest=sha256:b28a72dab7c199afa4b9501848a516f8af5601409088cfb1f0fde7549da6c926

Observation 370866fe-2362-4eca-a744-98350ebdb6f0 · outbound

This paper cites Point distribution in compact metric spaces, III. Two-point homogeneous spaces.

Optimal measures for p-frame energies on spheres Point distribution in compact metric spaces, III. Two-point homogeneous spaces

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:44:02.048140Z

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=2026-08-14T15:44:01.909678Z digest=sha256:58d29b01301862fdd749fa15465fc44842282b16718eacd3a30f549d0cc77d76

Observation 5cb7e07b-88f1-4357-a46c-ecee6d0a5d94 · outbound

This paper cites Souvignier.

Optimal measures for p-frame energies on spheres Souvignier

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.654363Z

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=2026-08-14T15:44:01.914926Z digest=sha256:5b46f60b7873cf19119aaa71e9244320382217f29757142f066e73f5c3ee056a

Observation cbbd6931-eb3c-4706-a91f-ba2d067465f8 · outbound

This paper cites Stillwell.

Optimal measures for p-frame energies on spheres Stillwell

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.641101Z

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=2026-08-14T15:44:01.919379Z digest=sha256:19f2ad29950f50bc58a3c8a688e182bcc899508d3913fa409ae9af1f2470ee92

Observation 809fea16-9f97-45a2-a80b-5eb18d00e0f4 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.627382Z

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=2026-08-14T15:44:01.924352Z digest=sha256:dd13dd26a6598c923b1640a78248fda7dbf4484442eeaf17dab1b31d301d91a2

Observation e78784b1-2ff4-41f7-929f-5462a85ccd61 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.929056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.929056Z digest=sha256:5e20b6016eed917f1be87556131ca54bcc666d3c3860583a7b8ab009852f8aec

Observation 065b3d29-38d4-463f-96c0-6a121ac139a5 · outbound

This paper cites All complex equiangular tight frames in dimension 3.

Optimal measures for p-frame energies on spheres All complex equiangular tight frames in dimension 3

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.934002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.934002Z digest=sha256:20ad2cfdc130fc3f8e7869974102bbe97201d933eda9d71488f54c5524ab91d8

Observation 3c14db8a-d1c3-46d7-837d-bca49501851a · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.604313Z

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=2026-08-14T15:44:01.939554Z digest=sha256:0681fe407543b9c8fe1418fbafad43c21f7486202d93982e8f7154fb10390289

Observation 4173b15b-8d26-4999-a61c-a120b1f179c9 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.945046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.945046Z digest=sha256:cd161d7b6d5cee5e8d4399168d3d59b9893efe5b3c5f780c0d2507b054cc25e7

Observation 05ec5f7d-ffca-43ea-9603-5de394f4533f · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.581901Z

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=2026-08-14T15:44:01.950151Z digest=sha256:e754bf3f37fb45ea21279890b588d57c33d79eedb142a07016efd59a5f295902

Observation 4b08ab88-56f9-4c47-879e-5a2f1e162969 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.567560Z

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=2026-08-14T15:44:01.955219Z digest=sha256:3d1df5d23d68d37fa414243bed46815f144bf6dbb0f2ed9b8b9e60531639cf9a

Observation 9c767a6f-8d20-429f-8008-b1e78ba7e71e · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.553231Z

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=2026-08-14T15:44:01.959525Z digest=sha256:ae00986f76d875f4e932d7b4f009c6229c61dc523aa77d97f892b1cf5fe68a66

Observation edc76030-8f65-4ec2-aa0b-be93d4cdf70a · outbound

This paper cites Wu and D.

Optimal measures for p-frame energies on spheres Wu and D

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.963899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.963899Z digest=sha256:645044a94b21dca7dd16d5653d4233e29002f38c9341c26014cf109d6b84d3a7

Observation 3fa93628-fe7f-4f2f-9b6a-1f688231fe70 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.529088Z

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=2026-08-14T15:44:01.968208Z digest=sha256:c73cec5f707da481ef1d35ee8d367467db12602068c939312a09616de1a03231

Observation 00ffb5ad-72a5-4de8-b857-c93ca3a35ea3 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.514986Z

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=2026-08-14T15:44:01.972317Z digest=sha256:71934a5ba94433f9b151dd5b4568643a2c968d64e812843e3dad74bb8495b758

Observation 257a9b34-05ea-46da-822d-0f5eaec86089 · outbound

This paper cites an unresolved cited work.

Optimal measures for p-frame energies on spheres Unresolved cited work

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.976066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.976066Z digest=sha256:e6b024cebe1f3ee98c2184d9295ff30b8c618974c19def763867e06a7b9c0259

Observation 24f76197-b043-4a89-ac0b-8e7fee3f2f78 · outbound

This paper cites Zimmermann, A.

Optimal measures for p-frame energies on spheres Zimmermann, A

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.491285Z

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=2026-08-14T15:44:01.979963Z digest=sha256:3e921a3bac8dbd5c4d1c5dbc0c08f092a2cb3b2f8c409a578efce3a25f76aa98

Pith citing papers

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

Energy on spheres and discreteness of minimizing measures cites this paper.

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=sha256:147ad22f13faf79e5d120fc76fff62f802eca67fddac5e41aa93d0a692f3b93b