Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:27:01.153632Z
Paper Citation Record · LEDGER
Quantitative regularity properties for the optimal design problem
As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2505.22365.
A citation records a reference. It does not transfer a finding from one paper to another.
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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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
29 of 29 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2837df49-ede7-45d4-a66a-e69017b0d042 · outbound
This paper cites An optimal design problem with perimeter penal- ization.
Quantitative regularity properties for the optimal design problem An optimal design problem with perimeter penal- ization
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.609420Z
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 74f82f19-1130-4e9b-a49a-a38ac1407e5e · outbound
This paper cites Functions of bounded variation and free discontinuity problems.
Quantitative regularity properties for the optimal design problem Functions of bounded variation and free discontinuity problems
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.538443Z
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 cae6f4cb-5c57-4743-bc0d-0c7b9871db49 · outbound
This paper cites Regularity for free interface variational problems in a general class of gradients.
Quantitative regularity properties for the optimal design problem Regularity for free interface variational problems in a general class of gradients
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.460443Z
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 b08cdf73-a60d-4051-8a1f-0628c538552d · outbound
This paper cites Partial regularity for the crack set minimizing the two-dimensional griffith energy.
Quantitative regularity properties for the optimal design problem Partial regularity for the crack set minimizing the two-dimensional griffith energy
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.373575Z
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 41e51468-a909-4bc1-ad18-04933c0daca4 · outbound
This paper cites On the regularity of the edge set of Mumford-Shah minimizers.
Quantitative regularity properties for the optimal design problem On the regularity of the edge set of Mumford-Shah minimizers
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.293520Z
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 62d76768-d06b-4380-b172-1cb5ab44e6f6 · outbound
This paper cites Quasiconvex bulk and surface energies: C 1,α regularity.
Quantitative regularity properties for the optimal design problem Quasiconvex bulk and surface energies: C 1,α regularity
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.212828Z
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 afae32b4-4deb-4802-a8bf-060706f73ba1 · outbound
This paper cites Quasiconvex bulk and surface energies with subquadratic growth.
Quantitative regularity properties for the optimal design problem Quasiconvex bulk and surface energies with subquadratic growth
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.133467Z
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 811f7e1b-c47a-4995-8016-cc28e8fa90b6 · outbound
This paper cites Regularity results for an optimal design problem with a volume constraint.
Quantitative regularity properties for the optimal design problem Regularity results for an optimal design problem with a volume constraint
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:04.028933Z
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 495cdebb-56a4-46d6-a6d1-39dea613d417 · outbound
This paper cites Regularity results for an optimal design problem with quasiconvex bulk energies.
Quantitative regularity properties for the optimal design problem Regularity results for an optimal design problem with quasiconvex bulk energies
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.941322Z
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 2da71d2f-a39b-45c8-8d20-bd9e310d9486 · outbound
This paper cites On the connectedness of boundary and complement for domains.
Quantitative regularity properties for the optimal design problem On the connectedness of boundary and complement for domains
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.868937Z
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 02ef4e00-1cc7-42f3-b51c-5043694dbae6 · outbound
This paper cites Singular sets of minimizers for the Mumford-Shah functional , volume 233 of Prog.
Quantitative regularity properties for the optimal design problem Singular sets of minimizers for the Mumford-Shah functional , volume 233 of Prog
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.784230Z
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 e04384bc-6fa2-4a07-bffc-1a626c21b83d · outbound
This paper cites Analysis of and on uniformly rectifiable sets , volume 38 of Math.
Quantitative regularity properties for the optimal design problem Analysis of and on uniformly rectifiable sets , volume 38 of Math
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.693400Z
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 9fbebf0e-e533-4e49-b731-d8c5ce4f110e · outbound
This paper cites Quantitative rectifiability and Lipschitz mappings.Trans.
Quantitative regularity properties for the optimal design problem Quantitative rectifiability and Lipschitz mappings.Trans
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.607981Z
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 3fc279e5-9312-4d9c-9cf6-efeece5708db · outbound
This paper cites A note on the dimension of the singular set in free interface problems.
Quantitative regularity properties for the optimal design problem A note on the dimension of the singular set in free interface problems
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.527373Z
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 e2fa7c33-a4f3-4951-acdc-8b412d1df54e · outbound
This paper cites Density lower bound estimate for local minimizer of free interface problem with volume constraint.
Quantitative regularity properties for the optimal design problem Density lower bound estimate for local minimizer of free interface problem with volume constraint
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.443298Z
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 13631332-32fa-4b13-9389-98a6d1ce40c9 · outbound
This paper cites A remark on a free interface problem with volume con- straint.
Quantitative regularity properties for the optimal design problem A remark on a free interface problem with volume con- straint
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.358580Z
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 31c10468-f10f-4055-86cb-0b941db95221 · outbound
This paper cites Regularity results for a free interface problem with H¨ older coefficients.Calc.
Quantitative regularity properties for the optimal design problem Regularity results for a free interface problem with H¨ older coefficients.Calc
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.269387Z
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 f3fa21ca-e96d-4753-ba9e-1dcc0c184010 · outbound
This paper cites Regularity results for an optimal design problem with lower order terms.
Quantitative regularity properties for the optimal design problem Regularity results for an optimal design problem with lower order terms
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:03.098989Z
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 e7351c21-0aa6-48d1-95f5-c515875f5eeb · outbound
This paper cites Regularity results for almost-minimizers of anisotropic free interface problem with H\"older dependence on the position.
Quantitative regularity properties for the optimal design problem Regularity results for almost-minimizers of anisotropic free interface problem with H\"older dependence on the position
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:27:01.374604Z
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 10ba04b9-1a9d-43c5-b329-45941b3a9d59 · outbound
This paper cites On the regularity of critical and minimal sets of a free interface problem.
Quantitative regularity properties for the optimal design problem On the regularity of critical and minimal sets of a free interface problem
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:02.980639Z
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 18ea09f7-9325-4d8a-b1fc-9eea51a653c3 · outbound
This paper cites A regularity result for minimal configurations of a free interface problem.
Quantitative regularity properties for the optimal design problem A regularity result for minimal configurations of a free interface problem
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:02.865922Z
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 33e2128e-6925-42eb-a3aa-3429f286482e · outbound
This paper cites an unresolved cited work.
Quantitative regularity properties for the optimal design problem Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:27:02.650983Z
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 93fc0ec1-176b-4e6b-99cb-5f760edcf11b · outbound
This paper cites an unresolved cited work.
Quantitative regularity properties for the optimal design problem Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:27:02.549198Z
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 69f1f5cd-3676-4737-b952-035a74d884ac · outbound
This paper cites an unresolved cited work.
Quantitative regularity properties for the optimal design problem Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:27:02.415208Z
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 0158c8fb-3dd7-4308-9654-cf5a5376b2ce · outbound
This paper cites Variational problems with free interfaces.
Quantitative regularity properties for the optimal design problem Variational problems with free interfaces
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:02.207349Z
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 2c6e6088-b2cc-4375-8791-70d843c2ae70 · outbound
This paper cites Sets of finite perimeter and geometric variational problems.
Quantitative regularity properties for the optimal design problem Sets of finite perimeter and geometric variational problems
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:02.032628Z
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 fc9c7b56-8b80-426c-b70c-97f2f8c80125 · outbound
This paper cites an unresolved cited work.
Quantitative regularity properties for the optimal design problem Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:27:01.867532Z
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 acf20290-3407-4660-b88d-f2db1cd34d9c · outbound
This paper cites Big pieces of C 1,α-graphs for minimizers of the Mumford-Shah functional.
Quantitative regularity properties for the optimal design problem Big pieces of C 1,α-graphs for minimizers of the Mumford-Shah functional
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:01.756274Z
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 9ebdbfa1-23cf-446c-94b1-a6ac52db1a5f · outbound
This paper cites Regularity results for almost minimal oriented hypersurfaces in Rn.
Quantitative regularity properties for the optimal design problem Regularity results for almost minimal oriented hypersurfaces in Rn
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:27:01.551967Z
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
No inbound Pith citation observations are available.