Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:16:35.936065Z
Paper Citation Record · LEDGER
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2506.22273.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:47:12.723160Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:47:14.726594Z
Reference resolution
38 of 38 outbound references displayed
- verified exact0
- verified fuzzy23
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d85f518f-bc08-4b9b-9b61-96e7200c7ea0 · outbound
This paper cites Ambrosio, N.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Ambrosio, N
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:16:31.546505Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 944ab6c1-a6f2-4e0e-b45a-5ff1c86fe7b1 · outbound
This paper cites Bonnivard, E.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Bonnivard, E
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:41.352361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1613068c-812a-4500-bc14-7fe519f53966 · outbound
This paper cites A cahn--hilliard--willmore phase field model for non-oriented interfaces, 2024.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A cahn--hilliard--willmore phase field model for non-oriented interfaces, 2024
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:41.243597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 651bbfc8-6f38-4827-a0df-520590b9679f · outbound
This paper cites A penalized allen-cahn equation for the mean curvature flow of thin structures, 2024.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A penalized allen-cahn equation for the mean curvature flow of thin structures, 2024
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:41.145401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1a23b576-53fa-4a14-a7e5-d1d26cd45ee3 · outbound
This paper cites On a phase field approximation of the planar steiner problem: existence, regularity, and asymptotic of minimizers.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach On a phase field approximation of the planar steiner problem: existence, regularity, and asymptotic of minimizers
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:41.062366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c257bfba-e64b-4933-9d82-26bf0e9a357f · outbound
This paper cites Bonnivard, A.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Bonnivard, A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:40.984550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 09c98872-619c-4f5b-b767-5b47fd165396 · outbound
This paper cites A numerical method for computing minimal surfaces in arbitrary dimension.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A numerical method for computing minimal surfaces in arbitrary dimension
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:40.832960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3955384d-1e70-4b26-a2fe-e3281abd8824 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:40.701917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0fa0b74a-ea99-431a-901a-f578fb1a0a47 · outbound
This paper cites A phase-field approximation of the Steiner problem in dimension two.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A phase-field approximation of the Steiner problem in dimension two
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:40.599696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c87ce41c-29c3-4cc0-a286-118a4c385b82 · outbound
This paper cites Coppin and D.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Coppin and D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:40.343835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 46fc7130-9ed3-4862-85d3-ef00fb485b19 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:40.082531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2ca343ac-cdb9-4bc7-8b1b-b5730fbd655c · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:39.807271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c0d021f4-993f-4c5d-b0eb-9e2cf9a6d113 · outbound
This paper cites Su una teoria generale della misura \((r-1)\) -dimensionale in uno spazio ad \(r\) dimensioni.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Su una teoria generale della misura \((r-1)\) -dimensionale in uno spazio ad \(r\) dimensioni
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:39.599276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cf7311af-aad7-4085-a3b6-84eea77b5767 · outbound
This paper cites Frontiere orientate di misura minima.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Frontiere orientate di misura minima
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:39.336565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1f151013-fe48-4009-b07a-b8c1b0049cdf · outbound
This paper cites Hutchinson.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Hutchinson
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:39.182421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7ea1f518-f713-47bf-b493-81764113f212 · outbound
This paper cites Hutchinson.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Hutchinson
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:39.046644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 52ab4941-a5f5-42fe-a266-39b67d6f9b2a · outbound
This paper cites A direct approach to plateau's problem.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A direct approach to plateau's problem
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:16:33.872535Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8a827f6-9621-4f57-bfe7-ac51aec76454 · outbound
This paper cites A method of numerical solution of the problem of P lateau.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A method of numerical solution of the problem of P lateau
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:38.888097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 78bde3c2-cd6a-42a4-8a75-d56dee36e5ff · outbound
This paper cites Dugundji.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Dugundji
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:38.700985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f2e02383-7193-42d2-b6ba-7c9da3b14bda · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:38.566861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b287f9c7-e2da-494a-bbc5-54046da16939 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:38.403898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e2ac7173-e93d-4ccf-b67e-e0202e6360f4 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:38.268499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2326e5ac-0720-4037-baef-f7803b0f1563 · outbound
This paper cites Minimal surfaces and functions of bounded variation , volume 80 of Monogr.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Minimal surfaces and functions of bounded variation , volume 80 of Monogr
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:38.139840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be900196-805d-4481-a735-bd79a6f49ff8 · outbound
This paper cites Soap film solutions to plateau’s problem.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Soap film solutions to plateau’s problem
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:38.010463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fadd3702-0cdf-4254-b169-4ac87594101b · outbound
This paper cites Existence and soap film regularity of solutions to plateau’s problem.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Existence and soap film regularity of solutions to plateau’s problem
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.870726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5ffdd143-497a-48b4-98d1-1203006471d9 · outbound
This paper cites Blaine jun.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Blaine jun
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.746130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4c36fb5d-3a81-4797-8ace-874ef45fb49a · outbound
This paper cites A Modica - Mortola approximation for the Steiner problem.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A Modica - Mortola approximation for the Steiner problem
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.597080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 723b8335-d3e7-43c9-9692-aba885fcdf24 · outbound
This paper cites Machefert.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Machefert
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.425928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8210f207-88ed-4c63-b46e-618e16b20f69 · outbound
This paper cites Sets of finite perimeter and geometric variational problems.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Sets of finite perimeter and geometric variational problems
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.292729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 70f46230-44c8-4182-a4b7-92ade9964ae2 · outbound
This paper cites A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:16:35.237598Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07bf4d96-39ac-41b7-88e8-160edd9251da · outbound
This paper cites Plateau borders in soap films and Gauss' capillarity theory.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Plateau borders in soap films and Gauss' capillarity theory
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:16:35.325060Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26a0dbad-7382-4f8e-9445-c79b395adf4a · outbound
This paper cites On the problem of Plateau , volume 2 of Ergeb.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach On the problem of Plateau , volume 2 of Ergeb
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:37.129457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c6469e5-9544-4dd4-89ea-361f87dce2b9 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:36.991098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8f3b1108-15a1-433d-bc46-a701c7a921af · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:36.824469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fc1a06f2-a354-47fd-b021-eaab8bbff8d2 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:36.657277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 99919f55-6b93-40ff-be60-e2208953a826 · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:36.536358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fa3fecf2-bfed-4fca-9557-3e4044a02c7e · outbound
This paper cites an unresolved cited work.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:16:36.316306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3bd5beea-ba1f-4856-90a8-2002216a249e · outbound
This paper cites Computing minimal surfaces with differential forms.
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach Computing minimal surfaces with differential forms
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:16:36.153603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation 3729b622-e985-4a47-9949-b16064aad44f · inbound
Optimal regularity up to the boundary for Plateau-quasi-minimizers cites this paper.
Optimal regularity up to the boundary for Plateau-quasi-minimizers Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:47:14.746554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.