Pith. sign in

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
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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
unresolved
raw_fallback, observed 2026-08-14T15:44:03.205533Z

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=2026-08-14T15:44:01.634544Z digest=sha256:50ad657da6ac07f1f06b018b277f14fb8b44da0c317cee9451f26eda5cbed3e6

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
unresolved
raw_fallback, observed 2026-08-14T15:44:03.192033Z

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=2026-08-14T15:44:01.640088Z digest=sha256:988ceb82e351f3f41316a806c41331ef22628005f0a81aecb4e8ad34a705256c

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
unresolved
no resolver link, observed 2026-08-14T15:44:01.645616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.645616Z digest=sha256:a93a3cfd1fe0c9cc2e58c2187620972f205b92c2d616bfe760dcda4789aa427d

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
no resolver link, observed 2026-08-14T15:44:01.650719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.650719Z digest=sha256:3ff9c914ae66be4aed78ad9cc7c72b00aa5c9ca9e3845aac8f63adb8ed4c6ffd

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.178496Z

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=2026-08-14T15:44:01.655962Z digest=sha256:250689aca92665f9d20729182e6a08f0c339851000603286ae41bce5619e2122

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.163864Z

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=2026-08-14T15:44:01.660799Z digest=sha256:a1a4c54ed9d08c2fa820a62b6b3703bfe49c7db41844bac95017b734dd54298a

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.147655Z

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=2026-08-14T15:44:01.665981Z digest=sha256:3a15a005e9021c14eb7cd4440adc169cc5270749b01c47c2d2d89816768ddea6

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.133374Z

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=2026-08-14T15:44:01.670833Z digest=sha256:199f0613dd6d6ff752c8db90c1ac49786040dd42fb72500cb4f24b518d54c5cd

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
unresolved
raw_fallback, observed 2026-08-14T15:44:03.118895Z

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=2026-08-14T15:44:01.675492Z digest=sha256:0fc75e0b5da93c2241e24d5b8d1e922f3964b31b31479acad7e17aa35d5af9b9

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
no resolver link, observed 2026-08-14T15:44:01.680091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.680091Z digest=sha256:ee9ae15e25d6c209db8d6c84bbbb2a443a4c0ce60d6821e415578d804c4f5de5

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
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

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
unresolved
raw_fallback, observed 2026-08-14T15:44:03.103928Z

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=2026-08-14T15:44:01.690475Z digest=sha256:3480d146e6ec8721b61f2945a19e8d4ed24fe682f18a7216ca237e3cc393eb71

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.089629Z

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=2026-08-14T15:44:01.695048Z digest=sha256:4c52b4df692d6effbb7d144ad3110caa8f2c5771de062b9d86fabbaec622941d

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
no resolver link, observed 2026-08-14T15:44:01.698867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.698867Z digest=sha256:625bfec4bd07c145e3abc2fa26d063bc0a1c95754ac65c5108dfcfe40c45a8a7

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

This paper cites an unresolved cited work.

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

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:44:01.703106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.703106Z digest=sha256:847fd531adefac9d7c8fa315ba10e87e4071159e3ad2c2a8d4cb6266e71f13c8

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
local_arxiv, observed 2026-08-14T15:44:02.278880Z

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=2026-08-14T15:44:01.707200Z digest=sha256:b2c00d5939d33af6f1e9b183abe4e16a8ea64453c8d2d7d23128f9e83b335ddd

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
verified exact
local_arxiv, observed 2026-08-14T15:44:02.257178Z

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=2026-08-14T15:44:01.711355Z digest=sha256:88958d4c873326d4c5b337879f4b4edb7f384702e299d730bcd4536f61b56efe

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
verified exact
local_arxiv, observed 2026-08-14T15:44:02.234856Z

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=2026-08-14T15:44:01.715586Z digest=sha256:cb1586b1dfa8944ab6080861fa1bc5c20ec43bbea07818fbe60f7a44c98d3bd2

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

This paper cites an unresolved cited work.

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

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:03.066640Z

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=2026-08-14T15:44:01.721598Z digest=sha256:182a86c491a6626bdb2822ef2787c313ff212a1ee72b905b00db4a98ea7839fe

Observation bf0a794e-9296-4e44-922e-6c0a918042f0 · outbound

This paper cites Delsarte.

Optimal measures for p-frame energies on spheres Delsarte

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.053391Z

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=2026-08-14T15:44:01.725891Z digest=sha256:47a8c6c5dd012019ab78c0167f945093a4449c332740d717bdc9fa0fb822e4f7

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.039598Z

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=2026-08-14T15:44:01.729797Z digest=sha256:125c2b9b76ab0d2c53914c896e16d940e90a9964c071c4f370c6d1e2b0fbba9a

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

This paper cites an unresolved cited work.

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

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:03.025470Z

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=2026-08-14T15:44:01.734295Z digest=sha256:01d8dbec15bd82a779af7db9af4600d697bc54ac4090f6eec1c2e5807c475a48

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
unresolved
no resolver link, observed 2026-08-14T15:44:01.738316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.738316Z digest=sha256:e67305a0f0fccd61af81139b5274178085083bed7b2d2323ac255e2a44eb6bf7

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
unresolved
no resolver link, observed 2026-08-14T15:44:01.742811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.742811Z digest=sha256:56923563583fbb6cf63ab7ef7aebeb99f9bb32675ee8af69a9697e80d8f188d1

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

This paper cites Freudenthal.

Optimal measures for p-frame energies on spheres Freudenthal

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:03.010608Z

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=2026-08-14T15:44:01.747218Z digest=sha256:7b7d378d9bb41548f148f760ddb8ae94f32b4f571cde7ca677fa50fcb976ccbd

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

This paper cites Gangolli.

Optimal measures for p-frame energies on spheres Gangolli

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.996469Z

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=2026-08-14T15:44:01.751593Z digest=sha256:3089533686b97ac1bb54f0bac7274693a7ac7f189c865c4d0d3a8a54d73177a8

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
no resolver link, observed 2026-08-14T15:44:01.756249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.756249Z digest=sha256:c72c06b7e0208fa8f95ed34b31a34f00a797de9930f5363f516ae199189da344

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

This paper cites an unresolved cited work.

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

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.981290Z

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=2026-08-14T15:44:01.761046Z digest=sha256:016320269c223799e41f69ce06171273ccfa66ac5c465323dd7dc49e4c816491

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

This paper cites an unresolved cited work.

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

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.966730Z

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=2026-08-14T15:44:01.765496Z digest=sha256:ad6bb03a9da212dfe070ec5af0dfcc1353eb7fa6b0eb7b6d33eeeccdd2725c40

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.952234Z

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=2026-08-14T15:44:01.769850Z digest=sha256:dfc43c847aaac9715ca672cbce6355a5954ae24e8418870ef371418dfaeae78f

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.937753Z

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=2026-08-14T15:44:01.774559Z digest=sha256:302436a416cf66dfb7ff1eee08302e46273a14678b44a0f9329f43645089d234

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
raw_fallback, observed 2026-08-14T15:44:02.922384Z

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=2026-08-14T15:44:01.779691Z digest=sha256:a9bc0ded8458074a6f99a893df5b421eafba0917c090942b92efad80481c4219

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
no resolver link, observed 2026-08-14T15:44:01.784499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:44:01.784499Z digest=sha256:3f069ae5534abc150620326c27ce0305fa359b4fb7d8d61db990a051b6de8236

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

This paper cites an unresolved cited work.

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

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.898121Z

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=2026-08-14T15:44:01.790101Z digest=sha256:7dfe2f5194891e9aa33495164d302d28dff5437d16ddd399ce2554a85969b9c5

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

This paper cites an unresolved cited work.

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

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.883249Z

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=2026-08-14T15:44:01.797572Z digest=sha256:974196022395dbbd1a148d52fa1edd12548722b0b138ee401b636239ca3c3a0e

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
verified fuzzy
raw_fallback, observed 2026-08-14T15:44:02.868519Z

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=2026-08-14T15:44:01.802549Z digest=sha256:e32c727e7531ce786cb84b1e042ae80bf3e809002c479a94e75ab9e5a3de7d72

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

This paper cites an unresolved cited work.

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

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:44:02.853151Z

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=2026-08-14T15:44:01.807152Z digest=sha256:ec42824bb06b8b250ce44e9d0d918eb94b7c9521a32766744d1bf025637387dd

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:bd9d57bc00f371f6d24bdda839d8df8ed2ddf747644a5435a024ee1ffe4926f0

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:ef2e3ec4158461d152f52b8e233b3cefb2516d8b7a6b30fab2c15a1ca88cccbc

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:a8811837177c1a02cd04d2e0f8a34e104cc3d78ef119032451683332cd911bc3

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:e092c5bfc57d66d265df5880f8937d04c6581b61cde43d6cb027e11ec96e6bd0

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:a86fe370c0995c857019711d9d07acf5f87ddd412b6ea4d3c8abf2df9f007935

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=sha256:8c4001d1b979b1d753478f0cf08510fcf25c87ca1e098bbcdfaf3a42ad747818

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:babbc1c67cab091148c22e6e569e3a51c49485df39554ea6cbbfaf38979b1230

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=sha256:8cb4eaf7b45749edf58681fcae8f4734c4b838f612ea2ea5794a8bc5ac5033f3

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=sha256:1345378c26569e3b32cc902e32d4be507c88cbcb0eb5137e4784e865aa4ab7c2

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=sha256:19df745528766bd4201859520a9ea22be8e5a5afc770f4c33a64ee2a62bccd6e

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:c8926b0403468f14bc96cc3a51b5f8ba840374ee0a77b45c07230d1cc6d77dba

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=sha256:6d9d2f68c1606d34897c136436624c349dcc738422a7d28d401a478a534ecf04

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=sha256:26bc2ae248d5aaf3c9b17b869480cc56d25cf71d6ea6106820a0c495560e91e2

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:cf7364aa19e1a7da55c860ed4d4880641241f57cc765c0eb572ba8ae31fc82f1

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=sha256:6da8c1b4d8ee8546a20588694b100f7e83842f947d15e490da2c82c2b71fde14

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:a921da26a57042eaf90cd1426b4c698d1b731be4096c384c9d8dab5966a5bb54

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=sha256:6f83cd46fd4fed511608071569acd8093c026b92150245094e9e4c4ceeea5f2f

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=sha256:30b5c1a818e363f90be574092dbcf6925dfd7b314808574a26abd877f6b3f692

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:b9fa2919dc44f35b989620e64b6728ac843ec54b1c5f0107fde95076997437c7

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=sha256:0b54a745a7084121c7170b47e68b74569be896938e59a05880b76f1b5377199b

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:ab0155191a40e0334a1821336003049015292a8d9d3f4cc9e77385c5270a1208

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=sha256:9ab029b3854997839c2a03f43b438bc17d2c6cca0911cd0c289e4a5fcede57ad

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:f38e82440e5504ba17e26f4c577a821f1df5602ca88545eb0aa1854b32a7101f

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:d11512ea056b7e292acd32d7df17429a2efc0196f2a74822f785ee70e913dd87

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:c51f5f62e2b166d93ed5dd7c1d396d1dfc26d68fe13ebf07863044abd052498a

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=sha256:9a8a59aadd9802f95cbfa5116a444d8e50fa8fbe3135103966e1b668e5edeb84

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=sha256:4b37e9ffdb7cbacc97819b3091927f9b571bba296a3fde03982f2fee5e35ef5a

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=sha256:4c99bff2ba6197b1fcef27c14e62fe5a9aa16755b4b86b2f3a913e9f13260b01

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:fb83d915a584c0bd362feb8df3ba33d703505faa737c28f3c69fb396978a9f1b

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=sha256:84cd232a493b58160b76484b99b24db7617eb102f8cae8c01b119b21e3820dc8

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=sha256:2fec78164774392af506f99018e41f1dd7b407c705ddc36eaaa61b1e5439d006

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=sha256:156e88b7a512099c010564f594948440c622817e66221be992b276732c4c9e19

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=sha256:569a143d645450355da1103db8d335bfdd8b933900786320c5b464a7f85df7a5

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:b2b5de7e9e3695e73c3acfe9e60336ea48800f2f0dbac6419eeb7133dd5da40f

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=sha256:17d51262a2504016c4974b7616803dd39d282d9b281a714bd5eb0f6e62aa4dd2

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=sha256:5d0eff60214bfa1c4f0a0159137b8bbd51c413edaee646812016bf0fa13fb1f3

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:dde95b328c194c673067dc1595cdfed82269710f16d7655180c5cbd1eefb32dc