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Paper Citation Record · LEDGER

Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2307.08164.

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

pith.paper-citation-record.v1
2307.08164 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:17:25.442409Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 017940d6-59ca-4b9f-be88-bac300373ba7 · inbound

Existence of a non-standard isoperimetric triple partition cites this paper.

Existence of a non-standard isoperimetric triple partition Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T16:17:25.442409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:17:25.442409Z digest=sha256:850039e8944ac434774f8edf8a460313490f78be4247493b35df9544e09299f6

Observation 7cea5979-f1ef-438e-a62f-22001125418f · inbound

Multi-Bubble Isoperimetric Problems cites this paper.

Multi-Bubble Isoperimetric Problems Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-04T11:05:22.509478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:05:22.509478Z digest=sha256:6650d87f7c7ae5efa8d5d56fd26f5170dd0ee2591348e7d055ec8c1dee93cbd1

Observation 2ec3265a-d3e4-4e20-a243-cedb0286cee8 · inbound

The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$ cites this paper.

The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$ Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-13T18:18:05.799900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-13T18:15:08.348041Z digest=sha256:8f6085864b5804ea266bf871df5a8c0fd572b14c8e46f27699f06aa279f3ac7d

Observation 84b030b7-7b2e-4d73-a0d9-9e86dc7cfc10 · inbound

The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$ cites this paper.

The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$ Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-19T17:27:41.101652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-19T17:25:14.488096Z digest=sha256:d0a97995f433cae9ab4926b66d6d9910bdac3cef67b01dd0a3102a671ba4ec86