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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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=sha256:1632f3d9ec5c9ab21139c2ab2e9a70ea0a3604537a6b80b81edca278dd36ad09

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:c622b747d96853728b4a764842aa16122b55e7d1e5cb4e564616d6bac22913ca

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-13T18:15:08.348041Z digest=sha256:39d07788576115efc3e439687b83e65e745504065ff0b7cd862840b6a6202516

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T17:25:14.488096Z digest=sha256:2446104375015b68031b8d20d51667ea318a7c8c3e99fa32729ce842bb97ce9a