Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T20:37:39.827532Z
Paper Citation Record · LEDGER
The one-dimensional equilibrium shape of a crystal
As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2501.07900.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:02:07.950733Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T22:02:08.529224Z
Reference resolution
20 of 20 outbound references displayed
- verified exact4
- verified fuzzy5
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b9322bd9-39fb-4655-babd-04033520be94 · outbound
This paper cites Free energy minimizers with radial densities: classification and quantitative stability.
The one-dimensional equilibrium shape of a crystal Free energy minimizers with radial densities: classification and quantitative stability
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T20:37:39.913538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe83079b-efce-42aa-a14f-918f9f809abe · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.113783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d2282f29-809d-49c8-ade7-2d4a5daea328 · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.102528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0d02b8c3-3065-49f0-ad7e-d5412de8f35c · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.088894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c6efa416-f5f7-4afb-a47a-228ae8e73688 · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.077549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c626d6f1-8ede-451d-a4da-1adeef33e0a6 · outbound
This paper cites Figalli and F.
The one-dimensional equilibrium shape of a crystal Figalli and F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:37:40.066653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 982b0cab-56e2-4619-83be-46c92574806f · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.054896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad6abc35-18b5-4bc8-aafd-b0de8a8cb6d0 · outbound
This paper cites 2, 422--446.
The one-dimensional equilibrium shape of a crystal 2, 422--446
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:37:40.043196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fc37a148-6a4b-4904-9f6a-ce62baee4fcc · outbound
This paper cites Gibbs, On the equilibrium of heterogeneous substances, Collected Works 1 (1878).
The one-dimensional equilibrium shape of a crystal Gibbs, On the equilibrium of heterogeneous substances, Collected Works 1 (1878)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:37:40.030882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 490fafdf-8021-47c3-b036-b9400b1da7a4 · outbound
This paper cites Minimizing the free energy.
The one-dimensional equilibrium shape of a crystal Minimizing the free energy
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T20:37:39.896859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e7411a06-ac4f-4cfa-b069-97fd3c73e5c5 · outbound
This paper cites On the three-dimensional shape of a crystal.
The one-dimensional equilibrium shape of a crystal On the three-dimensional shape of a crystal
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T20:37:39.880309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d8d78852-108c-4fd7-a52e-2881e3d61baa · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.018384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bbb3dcd-f249-4c4b-9a0c-1663c655e24f · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:40.006276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f8039665-c1cd-409c-a29d-0e70b6091457 · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:39.987842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d4b8b56b-ee75-48a9-8606-124fc6ba076e · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:39.976423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3c70f2ad-91c4-43d8-82dd-cb33f7a7d56f · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:39.964144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d52f4723-4e74-423b-8824-2b484fbcfea6 · outbound
This paper cites The nonlocal Almgren problem.
The one-dimensional equilibrium shape of a crystal The nonlocal Almgren problem
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T20:37:39.863121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8b3f6c13-9e17-4cc1-9887-3cfc4f74ea9f · outbound
This paper cites an unresolved cited work.
The one-dimensional equilibrium shape of a crystal Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:37:39.952898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d803228-bf7b-440d-8381-7f1518ce3b32 · outbound
This paper cites McCann, Equilibrium shapes for planar crystals in an external field, Comm.
The one-dimensional equilibrium shape of a crystal McCann, Equilibrium shapes for planar crystals in an external field, Comm
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:37:39.940611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 68202b23-ba6f-48bb-a0a1-f8c12138f415 · outbound
This paper cites Taylor, Crystalline variational problems, Bull.
The one-dimensional equilibrium shape of a crystal Taylor, Crystalline variational problems, Bull
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:37:39.926080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation e6ba1a55-265c-43af-8d5b-e3e680049019 · inbound
Free energy minimizers with radial densities: classification and quantitative stability cites this paper.
Free energy minimizers with radial densities: classification and quantitative stability The one-dimensional equilibrium shape of a crystal
Reference 42
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T22:02:08.560187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.