Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Proof of the Double Bubble Conjecture
As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:math/0406017.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-19T17:25:14.488096Z
A source-named dated measurement, never combined with another source.
Source: pith, 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
pith, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation fccaf228-cc6d-4245-bd63-39dd46b2af60 · 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 $\mathbb{R}^2$ Proof of the Double Bubble Conjecture
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:18:05.761691Z
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.
Observation e791a4f3-dd62-405b-8d6c-82e9a5b28c71 · 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 $\mathbb{R}^2$ Proof of the Double Bubble Conjecture
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-05-19T17:27:41.096798Z
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.