Paper Citation Record · LEDGER

Counting Equilibria of the Electrostatic Potential

As of 15 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2501.05315.

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

pith.paper-citation-record.v1
2501.05315 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:23:52.022321Z

measured 20 of 20 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy15
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2325bf10-49ad-4cf2-afd7-7b0741d2310d · outbound

This paper cites Aurenhammer and H.

Counting Equilibria of the Electrostatic Potential Aurenhammer and H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.393687Z

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.

Observation 60495102-64c0-476b-bb87-df81578492b7 · outbound

This paper cites Proc. 13th Internat. Conf. Comput. Vision, 2011.

Counting Equilibria of the Electrostatic Potential Proc. 13th Internat. Conf. Comput. Vision, 2011

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.377327Z

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.

Observation 2d66deb6-31c0-4c8f-a80d-e56e8ee4ea36 · outbound

This paper cites Delaunay.

Counting Equilibria of the Electrostatic Potential Delaunay

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.360560Z

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.

Observation 2443463c-2004-489e-be72-02dd1b1c72fe · outbound

This paper cites Gao and M.

Counting Equilibria of the Electrostatic Potential Gao and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.344891Z

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.

Observation 09b8f602-529b-4e1f-a1da-a7224ec39171 · outbound

This paper cites Proc. 40th Internat. Sympos. Comput. Geom., 2024.

Counting Equilibria of the Electrostatic Potential Proc. 40th Internat. Sympos. Comput. Geom., 2024

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.329206Z

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.

Observation 6b7a5ba8-68fc-49f3-a389-da7314cb287b · outbound

This paper cites Gabrielov, D.

Counting Equilibria of the Electrostatic Potential Gabrielov, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.313939Z

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.

Observation 365d6d14-0abe-4de4-a2ae-5248eb36068d · outbound

This paper cites A remark on Maxwell’s conjecture for planar charges.

Counting Equilibria of the Electrostatic Potential A remark on Maxwell’s conjecture for planar charges

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.297652Z

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.

Observation b69dbb07-c3ec-40bb-a098-a8646c2c5e65 · outbound

This paper cites an unresolved cited work.

Counting Equilibria of the Electrostatic Potential Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:23:52.281613Z

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.

Observation e714b91a-6921-40f6-ba22-f95fabb408c4 · outbound

This paper cites an unresolved cited work.

Counting Equilibria of the Electrostatic Potential Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:23:52.267065Z

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.

Observation ab804a08-b340-4a02-af44-1adf41079478 · outbound

This paper cites McMullen.

Counting Equilibria of the Electrostatic Potential McMullen

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.250222Z

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.

Observation 87fa21ad-1abf-4eb9-a2bc-90fa16e31698 · outbound

This paper cites an unresolved cited work.

Counting Equilibria of the Electrostatic Potential Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:23:52.234089Z

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.

Observation 9c1ffd55-0c54-4bda-affe-98c5cf9c2fce · outbound

This paper cites Morse and S.

Counting Equilibria of the Electrostatic Potential Morse and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.215045Z

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.

Observation 4ad5a51a-a60d-43bd-893e-cef8418b8de1 · outbound

This paper cites Okabe, B.

Counting Equilibria of the Electrostatic Potential Okabe, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.197104Z

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.

Observation eecb4824-9af4-4398-942c-66b1160c50c0 · outbound

This paper cites Electrostatics and geodesics on $K3$ surfaces.

Counting Equilibria of the Electrostatic Potential Electrostatics and geodesics on $K3$ surfaces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T21:23:51.991298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92777b43-05d5-4f39-bd55-eb688f44ba0c · outbound

This paper cites an unresolved cited work.

Counting Equilibria of the Electrostatic Potential Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:23:52.178249Z

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.

Observation 610c9965-9c33-4e4c-aed4-f12e0afb3366 · outbound

This paper cites Polynomial automorphisms of Cn.

Counting Equilibria of the Electrostatic Potential Polynomial automorphisms of Cn

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.157143Z

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.

Observation 366e38de-0ea4-47ee-a36e-f3c803b929da · outbound

This paper cites Upper bounds for the number of isolated critical points via the Thom–Milnor theorem.

Counting Equilibria of the Electrostatic Potential Upper bounds for the number of isolated critical points via the Thom–Milnor theorem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.141299Z

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.

Observation 25ae3ff5-8a6d-4674-b932-1c2bc9a79aeb · outbound

This paper cites Hence, there exists ε >0, such that ∂V ∂x3 (0, 0, t) is positive for t ∈ (0, ε) and negative for t ∈ (−ε, 0).

Counting Equilibria of the Electrostatic Potential Hence, there exists ε >0, such that ∂V ∂x3 (0, 0, t) is positive for t ∈ (0, ε) and negative for t ∈ (−ε, 0)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.121900Z

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.

Observation 3078360d-40b4-47ec-afa5-08d36dcfc556 · outbound

This paper cites COUNTING EQUILIBRIA OF THE ELECTROSTATIC POTENTIAL 27 Proof.

Counting Equilibria of the Electrostatic Potential COUNTING EQUILIBRIA OF THE ELECTROSTATIC POTENTIAL 27 Proof

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.104780Z

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.

Observation ab075c97-3dd6-456d-9977-ff89f865b847 · outbound

This paper cites ,(45) with terms of order exceeding 4 not shown.

Counting Equilibria of the Electrostatic Potential ,(45) with terms of order exceeding 4 not shown

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:23:52.086453Z

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.

Pith citing papers

No inbound Pith citation observations are available.