Pith. sign in

Paper Citation Record · LEDGER

Minimizers for Coulomb gases constrained to a halfspace

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:5aa28b2b36d03058d5d3b39c731ce69f13f78f848ed5f9dbfed62fcbe0c610ae

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:b84efa0702ddabef802367ef2d4440ff1f06b7ffd397298a0d973e734832b74f

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:8448e4d181df9457af850e9b53fe97bf277284c4c9bf68c0e46df71379a27f0a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:37e95f1fc4864b67496a4f39be2d8510452a1c8580b54e811ee09b92f3b34c2c

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:553c555aaa180e116b93da8440115bf46958c8fbac20937ee5e8a0d236373667

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:4a2fab63c0eef61f4f06f497720b6d083908f6b4b227c6adbf644881d65103d9

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:64998c2a514a288bb4f24c622f44a8eea7e20ba0ef425554fe35143afca3d630

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:8fbd82b954adcf11a8db312cf6627734ae6fd8059aca4500a3894fc65e6b4eae

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:e19055097cbb5d6feddf3ef8673630fdff44166bdc9efe1e1783cdd3a1e62a97

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:bc3ed63763ef6ea769f95257561799e01b1411a3a0d6a1ed83f4dc6139fcfdd5

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:ea6ab2429762725733660a8de9f0389f20d3ec3abfe6f0b53aa9bf44abaf3ff4

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:f4af067c4812a6f8b66f6feb1a620bfa43fc2cd31b58ab8b9bd2d073ac140fc6

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:a87ac6639de6d4a63996afdd21d755438ee8d2565bf20dbcd0f6a21717ee402c

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:9494774a8b80105e3193faa53b4c8d5c3a9179338ba2cce7abd2da0f8fd24f30

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:80c6d2cb89f6a12d05ccde8f16de092c22a719b7622f9389808e260dd770a0a0

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:d654888fe0e8ebea6c97f472e455f55b2d0dd3a880527a6775a7b88f122c52e6

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:d3cc75c620ffddea81ea8e181ba173cd0a0a18e87d18b09f20df1496db627d08

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:695df1425203eba080066793fc10c1732f9eaf682609a0ec01792df07cf6e9f7

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:4793af3f211837a6494cb7b51273f9fc2a682a7cc2a91aafc44672b80c6b3534

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:feb177b6da7d255296553f09da0599dfcf4fdb108926ece265211919e90f5257

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:9f48e53e4c1f572cc4e2aa55c641e0d9b0a5f7dcac760924ff68dd1d73544127

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:ec63a7c1c5b144b7c9bdda74cca150b094ff1325a435f1336dd819c018c42c9b

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:3a4d879a367ccf49197e4f247edda6f1fc9af3145ca50160c0acfd417aaafc31

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:7bcd2fd791d8593633fa98c75e08f52dc204326212d06d3b4c61a612e0e0cd17

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:4ac774fa7687feb05973701dadbc4ba91f6c2d8b11444e5a782cdea8110276e6

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:a6b242522d932703904febbaf5273a251e1e94aa5e45abade14f7f151ae8ee40

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:c5b8fd2175b1be8761904cedb239e4bce448c236440d6a30183c9fcbf478b5cd

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:220906f59a5d750c1824b976903c8a84b133b9ebdac33e41120609926180863f

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:465f0467954cd6aeae984c06871e73c46d04d35a2debfd26d23c70571b496fa1

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:b9d23a86317b2441651fdb7a0073c753f8bee7a08c3216d64044793b72a68612

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:98280544a107b259e92304540bd371d8801b03d903f7ba074d11e0a7ee294384

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:38b68cf786a55b5bb59411447f50b538de07d4c5b13a26379af3d0478dc5eb73

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:9e2f23ff43157902fc4e49c50e7a8a7a470cbcb3f17a78ea04bd970e6053119a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-30T10:25:56.318928Z digest=sha256:3442fbef02a025f9f470ed1c02a73384911c07fd1ee0ea6d8a37ce3d600119cb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:39:38.908815Z digest=sha256:634d444cb38e85c63e23f371283ed36674279a378dc5f870a947b760b239ed81