Paper Citation Record · LEDGER

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2603.12025.

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

pith.paper-citation-record.v1
2603.12025 v3

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measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T18:30:23.566623Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:59:29.436979Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:36:13.514248Z

Reference resolution

34 of 34 outbound references displayed

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Outbound references

Observation f2dad893-3c5e-42e5-a201-6108702f21b0 · outbound

This paper cites Agostiniani, M.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Agostiniani, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.412148Z

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Observation 8d490aae-5803-4be8-a2de-694174dca718 · outbound

This paper cites Allard,On the first variation of a varifold,Ann.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Allard,On the first variation of a varifold,Ann

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.492703Z

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Observation 2c96f047-a78b-47f2-90f3-791799cffebf · outbound

This paper cites Almgren, Jr.,Optimal isoperimetric inequalities,Indiana Univ.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Almgren, Jr.,Optimal isoperimetric inequalities,Indiana Univ

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.585513Z

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Observation fac358fa-8d67-4aa0-aeaf-d99d8e73c680 · outbound

This paper cites Balogh and A.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Balogh and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.690344Z

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Observation 1b182608-7e7e-4958-8733-aa64c09acc93 · outbound

This paper cites Brendle,The isoperimetric inequality for a minimal submanifold in Euclidean space,J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Brendle,The isoperimetric inequality for a minimal submanifold in Euclidean space,J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.780150Z

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Observation 406f2e31-de4e-43af-9612-006563d875f8 · outbound

This paper cites Brendle,The logarithmic Sobolev inequality for a submanifold in Euclidean space, Comm.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Brendle,The logarithmic Sobolev inequality for a submanifold in Euclidean space, Comm

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.888811Z

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Observation e0b19a91-4cce-4f73-b12a-29f4731f250c · outbound

This paper cites Brendle,Sobolev inequalities in manifolds with nonnegative curvature,Comm.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Brendle,Sobolev inequalities in manifolds with nonnegative curvature,Comm

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:20.971580Z

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Observation c02b0953-7b5c-4ab7-948b-88f4627ba425 · outbound

This paper cites Brendle,Minimal hypersurfaces and geometric inequalities,Ann.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Brendle,Minimal hypersurfaces and geometric inequalities,Ann

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.036370Z

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Observation 08c0ce13-4051-4817-807d-58b4090c806b · outbound

This paper cites Brendle and M.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Brendle and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.112842Z

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Observation e14bde9d-901d-42c3-88ac-75efaad37b31 · outbound

This paper cites Cabr´ e,Nondivergent elliptic equations on manifolds with nonnegative curvature, Comm.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Cabr´ e,Nondivergent elliptic equations on manifolds with nonnegative curvature, Comm

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.195024Z

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Observation c19e5935-80d9-4245-9f0f-4e1282f46532 · outbound

This paper cites Cabr´ e,Equacions en derivades parcials, geometria i control estoc` astic,Butl.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Cabr´ e,Equacions en derivades parcials, geometria i control estoc` astic,Butl

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.317717Z

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Observation 67b6db4f-7a6c-44ed-b256-2266827b89c5 · outbound

This paper cites Cabr´ e,Elliptic PDEs in probability and geometry.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Cabr´ e,Elliptic PDEs in probability and geometry

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.374397Z

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Observation daac13a8-9350-474a-82fc-d1f914dca680 · outbound

This paper cites Carleman,Zur Theorie der Minimalfl¨ achen,Math.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Carleman,Zur Theorie der Minimalfl¨ achen,Math

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.473975Z

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Observation 0a02efe4-d7de-46a5-9afd-46ef65ee4e93 · outbound

This paper cites Castillon,Submanifolds, isoperimetric inequalities and optimal transportation,J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Castillon,Submanifolds, isoperimetric inequalities and optimal transportation,J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.541431Z

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Observation ac7404ac-3123-4d5e-915d-45c11fbf3713 · outbound

This paper cites Chen,On the total curvature of immersed manifolds, I: an inequality of Fenchel- Borsuk-Willmore,Amer.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Chen,On the total curvature of immersed manifolds, I: an inequality of Fenchel- Borsuk-Willmore,Amer

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.582819Z

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Observation a0ad1997-c459-4de4-b233-a0bd7004b6b7 · outbound

This paper cites Choe,The isoperimetric inequality for a minimal surface with radially connected boundary,Ann.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Choe,The isoperimetric inequality for a minimal surface with radially connected boundary,Ann

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.665960Z

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Observation b13d63b5-5a00-4b75-aa9f-a8823f273b5e · outbound

This paper cites Cordero-Erausquin, R.J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Cordero-Erausquin, R.J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.742111Z

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Observation 68a435fd-6a5c-4cb2-9abf-2b07ddaec0ce · outbound

This paper cites Ecker,Logarithmic Sobolev inequalities on submanifolds of Euclidean sapce,J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Ecker,Logarithmic Sobolev inequalities on submanifolds of Euclidean sapce,J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.811913Z

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Observation 1ee9c495-5f43-4276-a3f6-798d3a53d2d8 · outbound

This paper cites Feinberg,The isoperimetric inequality for doubly-connected minimal surfaces in Rn,J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Feinberg,The isoperimetric inequality for doubly-connected minimal surfaces in Rn,J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:21.891257Z

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Observation e946b5df-f1ac-416a-8d78-550c87761fd3 · outbound

This paper cites Fenchel, ¨Uber die Kr¨ ummung und Windung geschlossener Randkurven,Math.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Fenchel, ¨Uber die Kr¨ ummung und Windung geschlossener Randkurven,Math

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.021299Z

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Observation f7a341d2-f547-45f5-b36f-2488935d55b0 · outbound

This paper cites Gromov,Metric structures for Riemannian and non-Riemannian spaces,Progress in Mathematics vol.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Gromov,Metric structures for Riemannian and non-Riemannian spaces,Progress in Mathematics vol

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.148406Z

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Observation 515f4114-4b4b-42f8-a79b-de17663059c0 · outbound

This paper cites Heintze and H.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Heintze and H

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.249718Z

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Observation 9623bfc8-a17d-436e-a7cd-723bba24c2ee · outbound

This paper cites Hsiung,Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary,Ann.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Hsiung,Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary,Ann

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.349504Z

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Observation 333e0abc-6804-48fa-a5e0-dddcf5cc9172 · outbound

This paper cites an unresolved cited work.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.468100Z

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Observation dec33ba8-41c5-4a49-baf0-80bd2010543e · outbound

This paper cites Lusternik,Die Brunn-Minkowskische Ungleichung f¨ ur beliebige meßbare Mengen, Dokl.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Lusternik,Die Brunn-Minkowskische Ungleichung f¨ ur beliebige meßbare Mengen, Dokl

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.594428Z

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Observation 7a3f9015-5cce-4590-861c-99487843302a · outbound

This paper cites McCann,A Convexity Theory for Interacting Gases and Equilibrium Crystals, Ph.D.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique McCann,A Convexity Theory for Interacting Gases and Equilibrium Crystals, Ph.D

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.688229Z

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Observation cdc7162b-a3bf-40e6-8052-5d29d07e7289 · outbound

This paper cites McCann,A convexity principle for interacting gases,Adv.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique McCann,A convexity principle for interacting gases,Adv

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.848588Z

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Observation 3967f8a3-a2a3-4fb8-b8b3-73fb2e548dba · outbound

This paper cites McCann and N.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique McCann and N

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:22.979066Z

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Observation 6a48565e-e1e9-44f9-8ae8-197c3592eefa · outbound

This paper cites Michael and L.M.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Michael and L.M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.139783Z

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Observation 4dcebd4e-81bd-433a-ae82-b16fd0cfd14a · outbound

This paper cites Osserman and M.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Osserman and M

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.273936Z

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Observation 771b145d-c3e3-4dae-b323-f908f57efef1 · outbound

This paper cites Reid,The isoperimetric inequality and associated boundary problems,J.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Reid,The isoperimetric inequality and associated boundary problems,J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.343316Z

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Observation b40f4317-eb48-4ceb-bb58-109e29920ae6 · outbound

This paper cites Stone,On the isoperimetric inequality on a minimal surface,Calc.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Stone,On the isoperimetric inequality on a minimal surface,Calc

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.427289Z

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Observation 9a56e559-8443-4b1e-9af5-996930aa4762 · outbound

This paper cites Trudinger,Isoperimetric inequalities for quermassintegrals,Ann.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Trudinger,Isoperimetric inequalities for quermassintegrals,Ann

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.483703Z

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Observation 503c3439-a0ed-4a46-9cf9-b5dc48968508 · outbound

This paper cites Willmore,Note on embedded surfaces,A.

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique Willmore,Note on embedded surfaces,A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T18:30:23.566623Z

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Pith citing papers

Observation 64cce054-0b9a-4096-aaea-706160629940 · inbound

A comparison theorem with applications to sharp geometric inequalities for submanifolds cites this paper.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-21T02:20:36.045063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7cdf6c0-5128-497f-973d-567eb7f05771 · inbound

A comparison theorem with applications to sharp geometric inequalities for submanifolds cites this paper.

A comparison theorem with applications to sharp geometric inequalities for submanifolds Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T14:59:29.436979Z

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