Pith. sign in

Paper Citation Record · LEDGER

Minimizers for Coulomb gases constrained to a halfspace

As of 18 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2606.20484.

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

pith.paper-citation-record.v1
2606.20484 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T10:25:56.318928Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:38.908815Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T00:39:39.139335Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1f3abed-339d-46b2-9a11-fe19252cd709 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:17.569295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:686c07118337e1fb1cd41df55dd78b6be348c6cc21eaf21c8498a6c29b5e7a90

Observation 048ae6a9-6bba-4a72-b41c-0b748e8e0dca · outbound

This paper cites Balagu\'e, J.

Minimizers for Coulomb gases constrained to a halfspace Balagu\'e, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:17.573321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:fc69fcd39c916f5f062fbca83544b5bec2b7e74470b17ade05a4f0c396f5eb52

Observation 394f1cc8-c0fd-43d1-91b8-cad477a46523 · outbound

This paper cites Byun and P.J.

Minimizers for Coulomb gases constrained to a halfspace Byun and P.J

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-06-30T11:04:37.931140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:f62e6b7bcbad0222b3cb22f32b594d0568aff2912adf84bdc21bc2c65b740663

Observation 466dbffa-77ed-4245-a5b6-2692f0c6393d · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.176408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:7e3aec34b34a906165fa123add51140a212132b34f07ea97dfd379cc12f21fb1

Observation b9ea9c60-ea3f-4fee-b060-2e7801c52a1b · outbound

This paper cites Campa, T.

Minimizers for Coulomb gases constrained to a halfspace Campa, T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:20.178711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:27c91e70f402f5b5c9e10ac3ff02dcbef36b62aeaec6f9cb4ab024d3bb6146b2

Observation c3dbce1c-f2e2-45ca-aeba-d4a7988ab411 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.171742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:1459f992314b4a5deebb191da1220d48e3d12a80e4eb46715cb8e998fd49d407

Observation 44c89001-9856-420f-ac14-cbda71495b2e · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.169190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:8cfd09570b94ed9db06bb75b5b40f44b53acafa0df543a2a88f7463fb336fd97

Observation 6b16e0f3-5b5c-47a4-8259-4b1bc192c6fa · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.174259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:ab1ec9776d6644578f20e46d7a00b8d41788d43986d3cf4c01bfb707fedd0d8e

Observation c1f161a7-1a70-48b2-bf83-53f13e84e715 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.181101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:bed7aedb849f61b239f060bda2294f274b29fe3424aeac4c745adca9e389d259

Observation 2e7efb3f-fea0-4986-af1d-308bc2dcf0ab · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.183494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:2397fafa272e8ec4e0f2dd095b5ee72b3e1b09e4fa9428c25d1226b661b1810b

Observation b985b5ea-ed23-4e90-ad68-41690929b257 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.187775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:5a2cc7bca1247b23fc9be2b62b2fc64e7c61a056e394c4be1d160afb49af741a

Observation 7beb904a-d71e-4e87-ab1b-31bdb47749b2 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.162385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:d15a01f50ac073b6396031cb3cfa018c92a0d7d6a73456e608dba141463f1024

Observation 9084e137-f61a-4dbd-b8d7-8a6870a1c825 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.159986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:c6888e3a31c3e65e6d5854b52043ff6e5359d73f6cec06219ba8fb6766155f01

Observation 7a091aa3-8260-4af2-8bd2-05339025ca9d · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.165202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:4f7c435791d0620d54365bbf1e42c54b2a66d220dfa17b0e40a7bb36481282ad

Observation 73ec88d5-80c5-412d-97f7-1d4e1b56a264 · outbound

This paper cites Chafa\"i, R.

Minimizers for Coulomb gases constrained to a halfspace Chafa\"i, R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:17.578905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:2b72fc1f6b03b5ff7d05e9a61e50f4843b08d0b87dc13553501c621fe0ace01f

Observation ed7a37f7-c90c-4f8f-b79f-43a79ba777c3 · outbound

This paper cites Davies, T.

Minimizers for Coulomb gases constrained to a halfspace Davies, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:17.571474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:9c3a8ded836959c8ed82f96a4a124f8af4dc907707bea36b0315057e8395e0af

Observation c8eb8709-d32b-486d-865b-6bfe7fa83507 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-09T14:06:16.641640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:e1e1a1d09448e790a273cf93913ab9e691a894bdccdd4ec295e87de82bc762de

Observation 6620dcb0-417d-4163-ba7d-18838443081d · outbound

This paper cites Davies, T.

Minimizers for Coulomb gases constrained to a halfspace Davies, T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:17.564831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:703bce12b842c4a451dd4cefa646e2e7a5f57809d7c3e92258e51ce729485c6b

Observation fec6269f-7fc5-442d-95f7-25e517c12f7f · outbound

This paper cites Fernández-Real, X.

Minimizers for Coulomb gases constrained to a halfspace Fernández-Real, X

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T14:06:16.640150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:801a59fe0d25ddf3e2488c437375051464972b80f7ab435bdb3051f6bde18871

Observation 577d3363-1093-4e58-8900-898041a12ad7 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.185589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:cc8b08acd304f0d2470a7c5d7bead409e9cd6bc366ff90be1b6b209ab8f9e219

Observation b2da8c4f-ea62-435b-98c7-10408e292eee · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-09T14:06:16.643250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:dc6d8a1e6712e4fb33ffb9d596a485760f47fc5118d1b6d5a62b8ab0270f1b30

Observation 8978daa8-16b8-493a-aebd-0e35b297975a · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:17.575277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:eeb7cc21eea70fcf2f4972d2f402d0d2f7fee7eeea303c9847f505e495b7c477

Observation 15830d3f-e167-4d41-a481-1c2d34c755d7 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.157555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:38fa202a015462914f9af7609555900ffdbe0477d31256a5ca91d2705059f77d

Observation 46a43faa-cfe5-4b41-b31e-3f3f637aeca8 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.189904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:8bfa6c78a34a88639301e780eddcae418de444d7e7880fde2f8b665abb9bd45c

Observation 9dbf4247-43b7-4f66-9f11-aa5b9e23d56b · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.154805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:165cfa7596dd78932fe7729e7fcf2c0fbe5c199365c46be0098bb87e0298a689

Observation d0b44269-1ec5-4244-a939-d0fe7c19cc24 · outbound

This paper cites Frehse, U.

Minimizers for Coulomb gases constrained to a halfspace Frehse, U

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:20.149490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:0df98549079eac928cbbdf74b864c894a8484f66c9e3a7bddf917d4d84820989

Observation cc9e754c-aebc-4273-a2e6-0612b35bc12e · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.147174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:982d4ac7e3f9b8e35ac34cf4295d0e6c1f9f9399f0cfdc5fc745a0360beb7abc

Observation 976ba3a5-3d23-42f4-8443-ab960aaa7df4 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.142562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:a56a9bd6d9c63cb7fb6457d406febd1a98eecd5bb5194123cce7ba10d0d03734

Observation 66b4bda6-819b-4f03-ab61-69110ea43586 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.140394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:edd8fc0fac41cbe9955223984c9f8bc7b85f0384c0aa6526b2bf2cdd38d3f5e6

Observation 3c48f1ca-374e-4160-ad10-ddbaea88bb7b · outbound

This paper cites Mateu, M.

Minimizers for Coulomb gases constrained to a halfspace Mateu, M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:20.144732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:c9fe2a918a48037e7c772ea5b6722b7d6078e1d9eb8ad070ef2bfe80cf0ea93a

Observation 9c936b99-81d4-4b88-9e30-cb9aec04bdd4 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.152208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:63fafc004d0f131a1f962ea52a201109d4033ac434310fc0046d3f6eb728cb0b

Observation 778efbc8-c742-4f45-9511-f3f7cc5dcc15 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.136060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:e77b5b1d70dd8d7a5ba131fd35dd534ba85cc6bbcd6aaad2ce767fabb1edecd5

Observation b7e21550-092c-4a03-8534-2f903ba4e911 · outbound

This paper cites an unresolved cited work.

Minimizers for Coulomb gases constrained to a halfspace Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-07-09T13:56:20.138259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:14c7bed560e6301d8d541a0ae853b8ae2a07fccae24da02bc5477f79828c46c5

Observation ae9fce55-4b2d-4b17-b7c4-d772d88a1ba5 · outbound

This paper cites Shu, A family of explicit minimizers for interaction energies.

Minimizers for Coulomb gases constrained to a halfspace Shu, A family of explicit minimizers for interaction energies

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T13:56:20.133403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:40b12b5912cd3ab9edd31b026cc60195d3a27acac34953a419587efefa858612

Pith citing papers

Observation c33857c0-c5cd-42a0-b9d2-d24608f449e2 · inbound

Confinement transitions in half-space constrained Riesz gases cites this paper.

Confinement transitions in half-space constrained Riesz gases Minimizers for Coulomb gases constrained to a halfspace

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:39:39.145916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T00:39:38.908815Z digest=sha256:51245b210247bad16268e1f17519e2435f21992310769e720b88f542ceefe56e