Paper Citation Record · LEDGER

The quantitative isoperimetric inequality: A calibration argument

As of 14 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.17172.

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

pith.paper-citation-record.v1
2606.17172 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T03:03:31.128378Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

17 of 17 outbound references displayed

verified exact8
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d4b4b0a-92d8-48c3-8a3f-93bac14692a0 · outbound

This paper cites Ambrosio, N.

The quantitative isoperimetric inequality: A calibration argument Ambrosio, N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c1f6408-5c45-469f-82bc-be48985ea1bb · outbound

This paper cites Cicalese and G.

The quantitative isoperimetric inequality: A calibration argument Cicalese and G

Reference 2

Resolution: malformed identifier; doi_truncated, observed 2026-06-27T03:10:25.043686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fce2bf3f-5de2-40e5-8d0c-e56db2d1cb11 · outbound

This paper cites De Giorgi.

The quantitative isoperimetric inequality: A calibration argument De Giorgi

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3542275a-625a-4f21-99e8-b4493d815aec · outbound

This paper cites an unresolved cited work.

The quantitative isoperimetric inequality: A calibration argument Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bfe401e-09f8-43a6-9363-612f9c47738e · outbound

This paper cites Figalli, F.

The quantitative isoperimetric inequality: A calibration argument Figalli, F

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.040373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6c8fb8c8-5e0d-4b86-9374-3d32948869ff · outbound

This paper cites Sharp stability of Alexandrov's theorem for $C^1$ domains in the small-excess regime.

The quantitative isoperimetric inequality: A calibration argument Sharp stability of Alexandrov's theorem for $C^1$ domains in the small-excess regime

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-03T18:28:48.997891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a6f0abdc-a436-4d75-9417-f480ef28bc0f · outbound

This paper cites A Selection Principle fo r the Sharp Quantitative Isoperimetric Inequality.

The quantitative isoperimetric inequality: A calibration argument A Selection Principle fo r the Sharp Quantitative Isoperimetric Inequality

Reference 7

Resolution: malformed identifier; doi_truncated, observed 2026-06-27T03:10:25.043381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d7d8bce8-717e-481b-a7e0-511211187920 · outbound

This paper cites Local minimizers of the interface length functional based on a concept of local paired calibrations.

The quantitative isoperimetric inequality: A calibration argument Local minimizers of the interface length functional based on a concept of local paired calibrations

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-03T18:28:49.001461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7c146a5b-188a-43b0-9e6f-db2df675501c · outbound

This paper cites Fischer, S.

The quantitative isoperimetric inequality: A calibration argument Fischer, S

Reference 9

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.036784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2f360000-89a2-45c7-a550-843479d7456c · outbound

This paper cites an unresolved cited work.

The quantitative isoperimetric inequality: A calibration argument Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6891d3c-459c-414c-bb49-5f932e8dac20 · outbound

This paper cites an unresolved cited work.

The quantitative isoperimetric inequality: A calibration argument Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.038566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9848315a-f1a5-4d9e-a386-c3e03b0fbd6f · outbound

This paper cites Fusco and V.

The quantitative isoperimetric inequality: A calibration argument Fusco and V

Reference 12

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.045410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 80571daa-4b30-4de0-9a29-d3d0085629fd · outbound

This paper cites Fusco, F.

The quantitative isoperimetric inequality: A calibration argument Fusco, F

Reference 13

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.047131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df29e517-d926-4ade-9863-cfd673e96ebf · outbound

This paper cites H´ elein.

The quantitative isoperimetric inequality: A calibration argument H´ elein

Reference 14

Resolution: verified exact; doi, observed 2026-06-27T03:10:25.041435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 99c4c0ea-373f-441b-b794-1aba31c0a63e · outbound

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

The quantitative isoperimetric inequality: A calibration argument Maggi.Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3550c6b-72a2-426e-9df4-c0b6acbc4717 · outbound

This paper cites an unresolved cited work.

The quantitative isoperimetric inequality: A calibration argument Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c16b2ec8-abb3-4c7d-875e-bad22f64d20d · outbound

This paper cites Wirtinger.

The quantitative isoperimetric inequality: A calibration argument Wirtinger

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T03:03:31.128378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.