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Paper Citation Record · LEDGER

Optimal regularity up to the boundary for Plateau-quasi-minimizers

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2507.13189.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.13189 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:47:14.425054Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 477b28a7-a4f6-48d5-af64-26400759df82 · outbound

This paper cites Functions of bounded variation and free discontinuity problems.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Functions of bounded variation and free discontinuity problems

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T16:47:12.645953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:47:12.645953Z digest=sha256:9230df2215e164b76cc2ab36952577cf2f60dba9e1146e9b0058b1a7b1965f2a

Observation 3729b622-e985-4a47-9949-b16064aad44f · outbound

This paper cites Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach.

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.723160Z digest=sha256:36db03ad1ce89393e3e23d37106a15a621941602e1f387c87c868e38daaa512e

Observation 1749f929-9fbc-4894-908e-dd15908ca595 · outbound

This paper cites Approximation of length minimization problems among compact connected sets.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Approximation of length minimization problems among compact connected sets

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:19.919799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.793367Z digest=sha256:b5c1d4cc82e5e82c06e16c736114c4c16b205f2912cfa16d2f1080d0b5cc08fe

Observation d11d88b9-6a46-4e09-9bd3-e287889428cc · outbound

This paper cites Density points and bi-lipschitz functions in R ^m.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Density points and bi-lipschitz functions in R ^m

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:19.630102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.860042Z digest=sha256:a445cfd5eee1b5eda4d48060b7671acbe0947b9d728634d05ccc68a697543686

Observation 8fedb8c8-8ef8-4c34-8237-153c5c109c55 · outbound

This paper cites Convex functions: constructions, characterizations and counterexamples , volume 109.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Convex functions: constructions, characterizations and counterexamples , volume 109

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:19.223115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.959570Z digest=sha256:14636b007b1422025d5895a4d3c9009ca60f5634eb1bef40a227f2869eb9ef16

Observation f98c2cf4-a34a-448d-b2bb-031fc703eb32 · outbound

This paper cites Morceaux de graphes lipschitziens et int \'e grales singulieres.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Morceaux de graphes lipschitziens et int \'e grales singulieres

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:18.963926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3439f864-4505-4105-acc9-4c253d34c081 · outbound

This paper cites Su una teoria generale della misura (r-1) -dimensionale in uno spazio ad r dimensioni.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Su una teoria generale della misura (r-1) -dimensionale in uno spazio ad r dimensioni

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:18.773120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.137036Z digest=sha256:f1c62f4591d4ad193f191fdeee5393ad4bd3b3958acef7b4a506f26582856bb8

Observation 794a2848-1b49-47d2-807f-82a40d1b832c · outbound

This paper cites Nuovi teoremi relativi alle misure (r-1) -dimensionali in uno spazio ad r dimensioni.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Nuovi teoremi relativi alle misure (r-1) -dimensionali in uno spazio ad r dimensioni

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:18.626547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.225273Z digest=sha256:029e360e5ab82097e3e7ad2cdb6c660af1d872bdc717c3e9960a73c90b5f7686

Observation 5628a73d-79f2-4565-9712-27bf81f3bb78 · outbound

This paper cites Complementi alla teoria della misura (n-1) - dimensionale in uno spazio n -dimensionale.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Complementi alla teoria della misura (n-1) - dimensionale in uno spazio n -dimensionale

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:18.349275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cff9cb7d-1377-4012-b7da-8cc7439d8430 · outbound

This paper cites A direct approach to plateau's problem.

Optimal regularity up to the boundary for Plateau-quasi-minimizers A direct approach to plateau's problem

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:18.064306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6d69e14e-be1e-4c22-8860-5a112e9d723d · outbound

This paper cites Quantitative rectifiability and lipschitz mappings.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Quantitative rectifiability and lipschitz mappings

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:17.761777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.473090Z digest=sha256:da4217d4c773b166b08aee57535b6c17dadbcdbf79ba92e4f78ce805457f6e04

Observation ffb51669-8808-4344-bd54-0800164d75da · outbound

This paper cites Uniform rectifiability and singular sets.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Uniform rectifiability and singular sets

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:17.374679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.572811Z digest=sha256:13f6b97b648ae665a8490c30cadbf7010de6da46df8f687a21e87460d2bb23ae

Observation 0ccb3ad5-edce-4180-85f1-f796f3dacfc7 · outbound

This paper cites Quasiminimal surfaces of codimension 1 and john domains.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Quasiminimal surfaces of codimension 1 and john domains

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:17.017624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 440e2716-f951-4711-a7f6-8574c3110ba3 · outbound

This paper cites Uniform rectifiability and quasiminimizing sets of arbitrary codimension , volume 687.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Uniform rectifiability and quasiminimizing sets of arbitrary codimension , volume 687

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:16.688154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.740381Z digest=sha256:5f647bfab4022ca08af19080472a22cc769cd49e1bfd4940aa7440b754fd1d67

Observation 5e2179d2-6e15-4db7-bc96-d6cd4d2ff774 · outbound

This paper cites Minimal surfaces and functions of bounded variation , volume 80.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Minimal surfaces and functions of bounded variation , volume 80

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:16.398310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.812665Z digest=sha256:8fcf84dbe129be9c85d3559bacabb4d568db6ee65512cf5d785e3bfe49dc4de6

Observation fd9edcbb-d762-4a9d-98c7-240567257988 · outbound

This paper cites Rotation and strain.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Rotation and strain

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:16.221615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.889384Z digest=sha256:8955fbd03b8b98ecf614519915b7463abd20ca9f8c404429b48b63ebd2959d3d

Observation dfb2ccda-84da-4539-a6ba-84a61b46b663 · outbound

This paper cites A modica--mortola approximation for the steiner problem.

Optimal regularity up to the boundary for Plateau-quasi-minimizers A modica--mortola approximation for the steiner problem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:16.026724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.974432Z digest=sha256:e99485e49c66d545ae1081c6897678e333121e136fcf9c939603a3ebcddbd498

Observation a2402c69-f537-4906-a4dc-2f083e089fc7 · outbound

This paper cites Optimal regularity for quasiminimal sets of codimension one in $\R^2$ and $\R^3$.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Optimal regularity for quasiminimal sets of codimension one in $\R^2$ and $\R^3$

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:47:14.613027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.074829Z digest=sha256:324678a7c3cdd0a334f0464b327c4855e6c7fc311ab61b63b08ab84d185869d2

Observation a7d912d7-9ef5-4247-933d-39f1c164fd12 · outbound

This paper cites Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:15.734007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.145581Z digest=sha256:9bdeaae3754c7414ba800355f4a15d4db01dec5c0e8279ae9fdb93306e38f60d

Observation d04917ba-80ce-49b2-9294-ba3fd36335aa · outbound

This paper cites Injectivity theorems in plane and space.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Injectivity theorems in plane and space

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:15.464637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 8fc99377-a6be-4fa4-9cca-36c13cdee2cd · outbound

This paper cites Uniform partial regularity of quasi minimizers for the perimeter.

Optimal regularity up to the boundary for Plateau-quasi-minimizers Uniform partial regularity of quasi minimizers for the perimeter

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:15.164215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.321142Z digest=sha256:1d5220192c10bbe726a603640ad237579984c2e6d45b19c6fd48a7c0bce2ef95

Observation 82e503a5-1798-41c3-b380-3159c20635f8 · outbound

This paper cites a is \"a l \.

Optimal regularity up to the boundary for Plateau-quasi-minimizers a is \"a l \

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:14.877102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.425054Z digest=sha256:f1226d66c7d3acb232d6a26c13ef8ba8a37488f7d0833517fd110e7012d8b255

Pith citing papers

No inbound Pith citation observations are available.