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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-18T06:34:40.430872+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=sha256:7d3748ea0673bb3489e4ab88e811d072553fda90e29a4412c3baa917df9f8e28

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.723160Z digest=sha256:893a41140d73aecfcd11b9578dbaea335f4988e71e8c699be960984b0a8c3d9d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.793367Z digest=sha256:e7450af24f5fcea636eef2bfc0eac3d8a9beb88bce9eb798e83d4da6f4637e10

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.860042Z digest=sha256:53ebd28571083df53dc2b7f7cdfa972830d442ea22df81231cf627720db21462

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:12.959570Z digest=sha256:55307b3c009e2b2da51178a0407702dd9a3308fa54cdf4f1fc207f1b2dbc7db1

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.137036Z digest=sha256:c4889ff8a797446d947dc325da971767f4d4996335c22a475a7fdf2fc9ac8d87

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.225273Z digest=sha256:127307448b1f497667950ac5da699ee22d92c903cc99b7a007789d947287989a

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.572811Z digest=sha256:3c2a07c24eee3c4c737e93f8b525a782e4457e05fa0091bbce2d0f2e4770046d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.641048Z digest=sha256:c80401f8aff8c87aab439c6d0812680926f88147cbbf8fc49893d44b6e8785ab

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.740381Z digest=sha256:f6d6c9a36e91c0c899d94968b638260762127369e6c83e57682e1baadd1256a3

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.812665Z digest=sha256:dca6fb4dc1fc3809263bc1130e28799292b7e740bf0c00709dcc6ad65306cc76

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.889384Z digest=sha256:b5e44705db31de6915d053b90d96463e46657c18a81528543c189883016fbd6f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:13.974432Z digest=sha256:74edcf16da7b7c9d1eebd90dff1ea3318a134787a112958d7b1d01b55a5e93f5

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.074829Z digest=sha256:46d2212bfe91d0c10ebe1de64a842dac7dad15947a24f3932631dcbe958f3793

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.145581Z digest=sha256:076377d3bb32ffa3159549fdbbbdbc1b475548e84459de5e9b3c3bb9c824ccea

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.246639Z digest=sha256:b6deb27d0a777a1b39d8e0815a5a52b6f7e8a788b9dc77859d6401d409fbfcdd

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T16:47:14.425054Z digest=sha256:7d5841ec93f058fa7fde804521cfb8cb1e3d9495fc71743f28ab6af7a6af2c9e

Pith citing papers

No inbound Pith citation observations are available.