Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:17:26.451006Z
Paper Citation Record · LEDGER
Existence of a non-standard isoperimetric triple partition
As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2507.14112.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-14T10:18:32.879564Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T22:46:13.279723Z
Reference resolution
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy9
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3af26961-b54b-452b-a748-4bce1b7d5fec · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:31.379447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 93701ee3-e6b1-455e-8067-da9ee606b6e8 · outbound
This paper cites Allard, On the first variation of a varifold , Ann.
Existence of a non-standard isoperimetric triple partition Allard, On the first variation of a varifold , Ann
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:31.105638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 920daa9c-a1a6-4eea-9784-f7ca3faecefe · outbound
This paper cites Allard, On the first variation of a varifold: Boundary behavior , Annals of Math- ematics 101 (1975), no.
Existence of a non-standard isoperimetric triple partition Allard, On the first variation of a varifold: Boundary behavior , Annals of Math- ematics 101 (1975), no
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:30.775032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 24067448-ad6a-49a4-8459-9af632f939e7 · outbound
This paper cites Bombieri, E.
Existence of a non-standard isoperimetric triple partition Bombieri, E
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:30.634250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 46f4a9fc-164b-4506-bef7-d534c6fe2e9b · outbound
This paper cites Brakke, Minimal cones on hypercubes , J.
Existence of a non-standard isoperimetric triple partition Brakke, Minimal cones on hypercubes , J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:30.422272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65efb03b-e507-49ec-abe6-75ed324ba9fd · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:30.265768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation abcb1d88-5b10-409b-bb16-950e00f31456 · outbound
This paper cites An Infinite Double Bubble Theorem.
Existence of a non-standard isoperimetric triple partition An Infinite Double Bubble Theorem
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:17:26.686463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 94875368-d295-40a2-a5f6-5670bf8d28d4 · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:30.065976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 671b583a-9f78-4188-8cae-d23fb41f440d · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:29.871673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cf428c62-6c3a-4395-90e2-16c20302e979 · outbound
This paper cites 3, 439–486.
Existence of a non-standard isoperimetric triple partition 3, 439–486
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:29.688123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f83a481d-c3bc-43ea-8c84-62dced60d314 · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:29.440538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 460c43a7-1cbe-4c63-8bd4-500ca8c87796 · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:29.178899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 017940d6-59ca-4b9f-be88-bac300373ba7 · outbound
This paper cites Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$.
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.
Observation d3e42760-7a6e-42a3-9589-14271112211d · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:29.020537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3eee6899-c239-4485-ad21-ed258a70c55d · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:28.834115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce3dafbd-9db1-4d56-b0c1-f0c6815688cd · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:28.537445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d3f72be9-87b0-4b77-91f2-5f3da7483458 · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:28.177613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f3bdd258-a55a-4e7a-811e-28f941942ebe · outbound
This paper cites Paolini and V.
Existence of a non-standard isoperimetric triple partition Paolini and V
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:27.800713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2fbc364c-8e93-42ac-94d5-a8a90c941693 · outbound
This paper cites 3, 1303–1331, cvgmt preprint.
Existence of a non-standard isoperimetric triple partition 3, 1303–1331, cvgmt preprint
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:27.538959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 13d337bc-ab8e-410f-8186-7b69153d1f25 · outbound
This paper cites Reichardt, Proof of the double bubble conjecture in Rn, J.
Existence of a non-standard isoperimetric triple partition Reichardt, Proof of the double bubble conjecture in Rn, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:27.299238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8d469d29-82ea-4263-85ae-39c172463629 · outbound
This paper cites an unresolved cited work.
Existence of a non-standard isoperimetric triple partition Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:17:27.103351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 40306dcb-1b22-4396-8d80-20fcc4efc1f6 · outbound
This paper cites Reine Angew.
Existence of a non-standard isoperimetric triple partition Reine Angew
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:17:26.927941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation bf5200da-23e3-40a1-8e35-406e01eefd10 · inbound
Survey on topological methods for Allen--Cahn equations and systems cites this paper.
Survey on topological methods for Allen--Cahn equations and systems Existence of a non-standard isoperimetric triple partition
Reference 104
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:46:13.282273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 84542002-c556-4c09-bdd6-31263598d62e · inbound
Anisotropic isoperimetric double tilings of the plane cites this paper.
Anisotropic isoperimetric double tilings of the plane Existence of a non-standard isoperimetric triple partition
Reference 53
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:18:32.879564Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.