Paper Citation Record · LEDGER

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2508.21552.

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

pith.paper-citation-record.v1
2508.21552 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:56:26.271546Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

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 2026-08-12T00:46:47.342425Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:46:47.671862Z

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy23
unresolved17
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f83edc2-624c-49e6-8c6d-8900ee07c058 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:27.085405Z

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 e8a9710f-9595-4a9e-ae5f-bae08747c79e · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:27.069707Z

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 98365739-ea6b-4e21-9aa0-c8e2945d195f · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:27.053848Z

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 bc81b9e4-53c8-434c-aebf-e549dcae9278 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:27.038166Z

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 bd2d6e42-c249-414d-a6b9-dc7c234a30ea · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:56:26.514616Z

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 02259453-c01a-4a79-a7bd-8700146c57e0 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:27.022825Z

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 605127a3-66b1-475c-8d16-c17a15fcfa4f · outbound

This paper cites Beckner, Geometric asymptotics and the logarithmic Sobolev inequality.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Beckner, Geometric asymptotics and the logarithmic Sobolev inequality

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:27.006116Z

Source-reported events for the cited work

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Observation 67b3235d-6596-480a-96d2-9f5f83e131ab · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.989616Z

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 832f66d6-d19c-4096-8cf6-23d0cc46b8be · outbound

This paper cites Bianchi and H.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Bianchi and H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.974548Z

Source-reported events for the cited work

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Observation c0f55017-b608-4d3f-8457-6c217a4ad1bc · outbound

This paper cites Brigati, J.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Brigati, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.959402Z

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 bfe9e49c-299f-4753-b2cb-10e6e0464376 · outbound

This paper cites Bobkov, I.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Bobkov, I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.944695Z

Source-reported events for the cited work

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Observation 353cbb3b-0c54-425f-a6eb-9aebf615f759 · outbound

This paper cites Bobkov and M.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Bobkov and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.929199Z

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 90b6d5bc-7ba4-44a8-a032-29e3f74d4486 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.913918Z

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 f340acaf-a850-43e7-98ab-a41d5eb173e7 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.898274Z

Source-reported events for the cited work

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Observation f132779a-ebb0-4bd9-80ca-003fa266050d · outbound

This paper cites Bucur and I.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Bucur and I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.879939Z

Source-reported events for the cited work

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Observation dc2ffea8-9fb3-45a1-90ff-94b14603b218 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.862595Z

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 ce78e1fb-ef4d-45d2-8667-1ac682f093c3 · outbound

This paper cites Del Pino and J.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Del Pino and J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.845821Z

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 849e6804-fa64-4b5a-b109-641c1c7a2f74 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.827659Z

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 40ce3876-e07e-4aa1-a9c1-8abf1e4e05ee · outbound

This paper cites Dolbeault, M.J.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Dolbeault, M.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.811701Z

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 b1714cda-e18c-43eb-8867-ed13ee8255d8 · outbound

This paper cites A short review on Improvements and stability for some interpolation inequalities.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities A short review on Improvements and stability for some interpolation inequalities

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T16:56:26.152236Z

Source-reported events for the cited work

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Observation 6dfb476e-ec78-4918-afbb-5d721abd73d6 · outbound

This paper cites Dubuc, Crit` eres de convexit´ e et in´ egalit´ es int´ egrales.Ann.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Dubuc, Crit` eres de convexit´ e et in´ egalit´ es int´ egrales.Ann

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.795404Z

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 b75e43bc-cdd0-4b0d-bb72-2503205c1f23 · outbound

This paper cites Evans, Partial Differential Equations.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Evans, Partial Differential Equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.779718Z

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 14a20923-7e22-4549-b34a-6065a3b4f3e0 · outbound

This paper cites Fathi, E.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Fathi, E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.764447Z

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 d62218c6-c821-44a0-9134-3dd982922d31 · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.748519Z

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 a10a6a6c-369a-4cba-b745-59ae80e20b55 · outbound

This paper cites Figalli and D.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Figalli and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.733149Z

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 1bf37379-6677-4581-ae65-35f56fd85f62 · outbound

This paper cites Figalli, F.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Figalli, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.717675Z

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 8ebb7ef8-4cfc-49d0-a32b-ff9d9adefba6 · outbound

This paper cites Improved stability versions of the Pr\'ekopa-Leindler inequality.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Improved stability versions of the Pr\'ekopa-Leindler inequality

Reference 27

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Source-reported events for the cited work

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Observation 0b70f400-859a-4756-8955-bc00f9a4e448 · outbound

This paper cites Figalli and Y.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Figalli and Y

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.701832Z

Source-reported events for the cited work

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Observation df47711e-24e5-4cd3-8dc0-b693f78f4bd6 · outbound

This paper cites Sharp quantitative stability of the Brunn-Minkowski inequality.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Sharp quantitative stability of the Brunn-Minkowski inequality

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T16:56:26.210506Z

Source-reported events for the cited work

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Observation cb30d4bb-abd0-479c-b938-b517d609dbcf · outbound

This paper cites Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T16:56:26.216073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3723153b-a842-43e6-b064-0fcafe5f5b67 · outbound

This paper cites Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T16:56:26.221531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 975d8e6e-71be-4445-a79d-e8c603921dba · outbound

This paper cites Fusco, F.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Fusco, F

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.686171Z

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 a35c96ca-5239-429a-91d9-f9be6b84511b · outbound

This paper cites Gentil, The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Gentil, The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.669870Z

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 82b94ab3-ed18-4e86-8b12-7b8473326f25 · outbound

This paper cites Gentil, Ultracontractive bounds on Hamilton–Jacobi solutions.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Gentil, Ultracontractive bounds on Hamilton–Jacobi solutions

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.653689Z

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 ec98b1e0-fc67-4147-a397-9e494fcdeec1 · outbound

This paper cites Indrei and D.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Indrei and D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.637440Z

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 a3b73517-c6d0-494a-bfb3-051bc56461e0 · outbound

This paper cites Ismail and M.E.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Ismail and M.E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.620893Z

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 7dd05230-c2cd-4438-ba22-e1612f7235ca · outbound

This paper cites an unresolved cited work.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:56:26.604068Z

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 ede587d3-a5ac-466d-896f-f608b4b1cfdb · outbound

This paper cites Lieb and M.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Lieb and M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.586306Z

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 88e03160-2a53-4ae0-a9e4-effbaab637f6 · outbound

This paper cites Milman and L.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Milman and L

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.569214Z

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 eb5bb9b3-d8ff-4556-aea9-b0b79acde7e2 · outbound

This paper cites Rossi and P.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Rossi and P

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.550780Z

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 edbcd387-5397-4f0d-b96c-40eef5a0b654 · outbound

This paper cites Suguro, Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Suguro, Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:56:26.532962Z

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.

Pith citing papers

Observation e3578a98-10ec-4325-b7d5-2690cf9afd02 · inbound

Quantitative stability for the Brascamp-Lieb inequality and moment measures cites this paper.

Quantitative stability for the Brascamp-Lieb inequality and moment measures Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-03T19:55:13.911600Z

Source-reported events for the cited work

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Observation e8e60123-59a7-4223-8796-04ecf2bdeac4 · inbound

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities cites this paper.

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:46:47.676786Z

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.