Paper Citation Record · LEDGER

Digesting the proof of the sharp thin-shell inequality

As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.23307.

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

pith.paper-citation-record.v1
2607.23307 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:03:54.824054Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:52:04.646897Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy0
unresolved27
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e434b25-0bea-4463-9c78-66a801aee44c · outbound

This paper cites and Perissinaki, I.,The central limit problem for convex bodies.Trans.

Digesting the proof of the sharp thin-shell inequality and Perissinaki, I.,The central limit problem for convex bodies.Trans

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:52.765396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b6f5896-e7d1-4a91-994b-a86a6e9b2e68 · outbound

This paper cites Springer, 2014.

Digesting the proof of the sharp thin-shell inequality Springer, 2014

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:52.825772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 142bf1e9-ebb5-41fc-9b7d-d0bdf5bba60d · outbound

This paper cites and Klartag, B.,Spectral gaps, symmetries and log-concave perturbations.Bull.

Digesting the proof of the sharp thin-shell inequality and Klartag, B.,Spectral gaps, symmetries and log-concave perturbations.Bull

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:52.920813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24e99062-a8ed-4923-8974-9556e7ea853a · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.024554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d09a2de5-be7c-4c6e-a4f9-de98b7afd337 · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.128072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0872451-f54c-4990-b0c8-ac9d9ea188de · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.216308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf5f4377-be98-4436-bf72-4fe821208164 · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.296801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bfd01f8-280c-4fe8-bfcf-b4106649ef5f · outbound

This paper cites The non-symmetric Mahler conjecture in dimension three.

Digesting the proof of the sharp thin-shell inequality The non-symmetric Mahler conjecture in dimension three

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.373661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbb0f01d-a699-4024-a0e9-bcff3bbd9c39 · outbound

This paper cites and Klartag, B.,Moment measures.J.

Digesting the proof of the sharp thin-shell inequality and Klartag, B.,Moment measures.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.477729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cce72777-9999-46a0-a602-4f36bb29bf07 · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.552366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1007e3d-2518-4b49-8977-2e499827a09e · outbound

This paper cites and Klartag, B.,Approximately Gaussian marginals and the hyperplane conjec- ture.In: Concentration, Functional Inequalities and Isoperimetry, Contemp.

Digesting the proof of the sharp thin-shell inequality and Klartag, B.,Approximately Gaussian marginals and the hyperplane conjec- ture.In: Concentration, Functional Inequalities and Isoperimetry, Contemp

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.623481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2071eab9-d496-409d-b0cf-45d03765c515 · outbound

This paper cites Probab.47(2019), no.

Digesting the proof of the sharp thin-shell inequality Probab.47(2019), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.729180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c43d979-439a-4d8b-8218-d746abaef7da · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.807545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 929d5aab-887e-4bb2-8d37-9879830c8fa6 · outbound

This paper cites A note on Bourgain's slicing problem.

Digesting the proof of the sharp thin-shell inequality A note on Bourgain's slicing problem

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:53.910865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 943147ef-8ecb-44da-9052-1066ab5b5e55 · outbound

This paper cites and Milman, E.,Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures.Geom.

Digesting the proof of the sharp thin-shell inequality and Milman, E.,Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures.Geom

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.018447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3893f027-e1c6-4325-b4d9-779640b68d65 · outbound

This paper cites A Slightly Improved Bound for the KLS Constant.

Digesting the proof of the sharp thin-shell inequality A Slightly Improved Bound for the KLS Constant

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.132769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20a63017-f8d7-42b6-9081-f228455809e4 · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.285049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f94beeb7-06e8-4b72-9bcf-c19ff3fdd5bd · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.390701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation deb66306-de4b-4021-ae50-2f4f92e175e0 · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.555253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d0d3c52-72e3-4722-9a3b-8b9f019a0cdb · outbound

This paper cites 2116, Springer, (2014), 231–260.

Digesting the proof of the sharp thin-shell inequality 2116, Springer, (2014), 231–260

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.723295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8522087-d1f2-4ca2-85f2-d727ea13cb71 · outbound

This paper cites Math., V ol.

Digesting the proof of the sharp thin-shell inequality Math., V ol

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.800274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d478fcfd-6cfa-4913-ae23-e7c53aa7c761 · outbound

This paper cites 4, (2023), 17 pp.

Digesting the proof of the sharp thin-shell inequality 4, (2023), 17 pp

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.804123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bab4fe0-65f9-4ca6-9419-a6f2e64d8bf9 · outbound

This paper cites and Lehec, J.,Bourgain’s slicing problem and KLS isoperimetry up to polylog.

Digesting the proof of the sharp thin-shell inequality and Lehec, J.,Bourgain’s slicing problem and KLS isoperimetry up to polylog

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.807941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b93f35b9-7bd2-47f0-8fdf-f36f4bccbf38 · outbound

This paper cites and Lehec, J.,Thin-shell bounds via parallel coupling.Preprint, arXiv:2507.15495, (2025).

Digesting the proof of the sharp thin-shell inequality and Lehec, J.,Thin-shell bounds via parallel coupling.Preprint, arXiv:2507.15495, (2025)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.811742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bebd7253-74a5-4db7-b355-dbe4292fab5d · outbound

This paper cites an unresolved cited work.

Digesting the proof of the sharp thin-shell inequality Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.815943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b01db44a-3808-4719-89c6-0c4a7806ed1c · outbound

This paper cites 7, (1938/39), 118–127.

Digesting the proof of the sharp thin-shell inequality 7, (1938/39), 118–127

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.819980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 002f09a3-85d0-4376-a356-4b491c8e211d · outbound

This paper cites and Zhu, X.,K ¨ahler–Ricci solitons on toric manifolds with positive first Chern class.Adv.

Digesting the proof of the sharp thin-shell inequality and Zhu, X.,K ¨ahler–Ricci solitons on toric manifolds with positive first Chern class.Adv

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T00:03:54.824054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1cccd9b5-8e89-4a93-aa47-0c5eecb9dc91 · inbound

Optimal $MM^*$ bounds for convex bodies cites this paper.

Optimal $MM^*$ bounds for convex bodies Digesting the proof of the sharp thin-shell inequality

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T06:52:04.646897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.