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Paper Citation Record · LEDGER

Stability of the ball in isoperimetric inequalities between two fractional perimeters

As of 6 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2605.07543.

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

pith.paper-citation-record.v1
2605.07543 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-11T02:51:14.115349Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

20 of 20 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 890cea6b-467c-4a49-b927-f30b4ec5df1a · outbound

This paper cites Gamma-convergence of nonlocal perimeter functionals.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Gamma-convergence of nonlocal perimeter functionals

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.231114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:dcec2bf10c5fec539242b34fe804028f020952f4a21620abb52ddb91546219de

Observation 3515997d-3473-46d9-8d5d-e8e938907141 · outbound

This paper cites Limiting embedding theorems forW s,p when s↑1 and applications.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Limiting embedding theorems forW s,p when s↑1 and applications

Reference 2

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raw_fallback, observed 2026-05-14T11:29:38.232829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:db16321ac84df0bfe96214a29eceee9df148ce573a46e9a978ea164010ede0f5

Observation 9258c84c-a64f-4190-b21e-e1812df4254f · outbound

This paper cites Nonlocal minimal surfaces.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Nonlocal minimal surfaces

Reference 3

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verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.222541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:569d67056f39330ceb4be3d9cd4a963de4ea91053f8158106c7e6ecffbc26bfb

Observation 2681e0ce-29ea-457c-8b63-4f538941076f · outbound

This paper cites A selection principle for the sharp quantitative isoperi- metric inequality.

Stability of the ball in isoperimetric inequalities between two fractional perimeters A selection principle for the sharp quantitative isoperi- metric inequality

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.238051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:305f8e308d73162ea08c251c591d5573590d7d2fc24621ba95ce763df9b17090

Observation 27bc535d-c1aa-4304-a443-33592991ea40 · outbound

This paper cites Stability in shape optimization with second variation.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Stability in shape optimization with second variation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.224274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:1e9d1171f77306cbdfb2a15c5b43b0b61830067fe4e443ee941c48582a44fafc

Observation 18bccb09-c6a6-47a6-98a1-5c9f9982f43b · outbound

This paper cites On an open question about functions of bounded variation.

Stability of the ball in isoperimetric inequalities between two fractional perimeters On an open question about functions of bounded variation

Reference 6

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raw_fallback, observed 2026-05-14T11:29:38.227603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:84412b1d70d303a276b8caf26e35448db1234ccf4d78b1854135f0121e69b860

Observation 1605d581-6acd-4b48-8051-77014bd6ca60 · outbound

This paper cites Asymptotic of the discrete volume-preserving fractional mean curvature flow via a nonlocal quantitative Alexandrov theorem.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Asymptotic of the discrete volume-preserving fractional mean curvature flow via a nonlocal quantitative Alexandrov theorem

Reference 7

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verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.236403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:7a60f995177d3c2a2cff355f1db556d722a04a8e7aa68c070e6dd832551dfcc6

Observation 1605bba9-40ff-4cea-ae1c-24b8eabf1fb3 · outbound

This paper cites Nonlocal quantitative isoperi- metric inequalities.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Nonlocal quantitative isoperi- metric inequalities

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.225998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:39a364ed3cc2fd2636d249ee4612692fe6e7ccf9b81ce81729803845555a40c6

Observation 289cf8fb-3a12-41a0-9787-310078718a50 · outbound

This paper cites Hitchhiker’s guide to the fractional Sobolev spaces.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Hitchhiker’s guide to the fractional Sobolev spaces

Reference 9

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verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.229207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:4c52ffd228814d1fc608e7442ce2d373b6a60879d426480b6d57e78f559a2884

Observation 2293ba54-906d-4430-8a82-1c1e09bde158 · outbound

This paper cites Strongly nonlocal dislocation dynamics in crystals.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Strongly nonlocal dislocation dynamics in crystals

Reference 10

Resolution
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raw_fallback, observed 2026-05-14T11:29:38.234594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:7388e7879ff1432cf97af56ecc04b6b311c7e47bef696eef95f21dbf83f687f8

Observation 2f6e1d16-831d-4936-9907-622a463a43fa · outbound

This paper cites Optimal embedding results for fractional Sobolev spaces.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Optimal embedding results for fractional Sobolev spaces

Reference 11

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arxiv_id, observed 2026-07-14T02:22:27.898764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:51490094571e404efcd77bd48cf9b2f81b4cfb57fdd3c6923a87a8092e9bcb1d

Observation ecc74742-fc0c-47aa-adee-ee2abf234e16 · outbound

This paper cites Isoperimetry and stability properties of balls with respect to nonlocal energies.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Isoperimetry and stability properties of balls with respect to nonlocal energies

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.215758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:c5714817ecae75017128b10aa116416f7a948bd955122737448dfafa2607fa9b

Observation fc80a8e4-ed0f-4a2c-90e8-c808ca0dad0a · outbound

This paper cites Non-linear ground state representations and sharp Hardy inequalities.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Non-linear ground state representations and sharp Hardy inequalities

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.211183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:acaae8882b15abea5ff6f092c0eecafc8500b7d2f7a2fad6b6c4158034732803

Observation d34570f5-c40a-4801-b940-0ca916da8650 · outbound

This paper cites Stability in the isoperimetric problem for convex or nearly spherical domains inR n.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Stability in the isoperimetric problem for convex or nearly spherical domains inR n

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.207463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:87e76f6304bb9dfbb97854c70c3df77d27a784cc2a04ea7411afc853d55172b2

Observation caba62a3-0e9e-4003-8ae8-f7ec46ca9690 · outbound

This paper cites The sharp quantitative isoperimetric inequality.

Stability of the ball in isoperimetric inequalities between two fractional perimeters The sharp quantitative isoperimetric inequality

Reference 15

Resolution
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raw_fallback, observed 2026-05-14T11:29:38.209501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:2ece66328d6b27c3008915196b42595c9e93999b5413c60dc4a3c28d9c5723e7

Observation 37ffc395-56e3-411c-81ce-7065ed15841a · outbound

This paper cites A quantitative isoperimetric inequality for fractional perimeters.

Stability of the ball in isoperimetric inequalities between two fractional perimeters A quantitative isoperimetric inequality for fractional perimeters

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.213468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:41aefa52018ec36151b93cff316d57bbdb07420518096e870a4ecbff2a2a9ea2

Observation b7fe91c0-4a51-49e8-af1c-7e3b60c587d6 · outbound

This paper cites Affine fractional Sobolev and isoperimetric inequalities.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Affine fractional Sobolev and isoperimetric inequalities

Reference 17

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raw_fallback, observed 2026-05-14T11:29:38.205586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:3e5ef3c002ce9e2af12a1c41d77e26a9a1fdc88359aa2746852e2242c5d49466

Observation 07331881-dab1-4dc3-9454-dbda2406823d · outbound

This paper cites Leoni.A first course in fractional Sobolev spaces.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Leoni.A first course in fractional Sobolev spaces

Reference 18

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raw_fallback, observed 2026-05-14T11:29:38.221004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:8a70073f3f61d340911a47afffd7c5e4a8e92abd663287ca380a0c2d1e6331f1

Observation 0941bb63-6239-4e79-a3b0-a2a2ba441431 · outbound

This paper cites On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces.

Stability of the ball in isoperimetric inequalities between two fractional perimeters On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.219350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:7b15ed9814e4bd6d8dd03a350a73ba4aa892dbfacf27f470799c6b44342594b8

Observation 9aad6a7a-08d5-454b-924a-9b22e163f2ba · outbound

This paper cites Generalized coarea formula and fractal sets.

Stability of the ball in isoperimetric inequalities between two fractional perimeters Generalized coarea formula and fractal sets

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T11:29:38.217566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-11T02:51:14.115349Z digest=sha256:80d6025cd840a495bcaa1af2a0eae6f91ad21bb2b0ef032cba66a2318e91981c

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