Paper Citation Record · LEDGER

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 4 inbound Pith citation observations for arXiv:2412.15044.

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

pith.paper-citation-record.v1
2412.15044 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:52:09.578088Z

measured 37 of 37 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:18:17.980224Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T20:59:27.772808Z

Reference resolution

33 of 33 outbound references displayed

verified exact0
verified fuzzy12
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4cc8b783-d241-4483-956a-59d811bf946a · outbound

This paper cites Studia Math., V ol.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Studia Math., V ol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:10.284481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 53102591-2fed-4c9d-aa2d-daeb540a60a9 · outbound

This paper cites H., Entropy jumps for isotropic log-concave random vectors and spectral gap.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound H., Entropy jumps for isotropic log-concave random vectors and spectral gap

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:10.266931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 41d30717-d9b4-4106-967f-f4cf4272fb29 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.247247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d8c1caac-d459-45c4-aa9c-1d170a14235d · outbound

This paper cites Proceedings of the International Congress of Mathematicians (ICM Berkeley 19 86), Amer.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Proceedings of the International Congress of Mathematicians (ICM Berkeley 19 86), Amer

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:10.226860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c2510052-7d64-4955-9915-ca6d487ca640 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.205271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation faabe9f1-b16c-449d-939a-97f6a2f883b4 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.186902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d3eaa4a2-6a51-493e-bbb0-31e9642fb873 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.168857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4964c35-2fcd-4777-9748-9582b0941ef3 · outbound

This paper cites -H., Geometry of isotropic convex bodies.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound -H., Geometry of isotropic convex bodies

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:10.147544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a77e17f3-f09c-4ff3-a831-b3cdabdfa9ed · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.120847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2bf61b25-0319-435b-b769-719db90a4d78 · outbound

This paper cites Lecture notes prepared for a course at the Weizmann Institute of Science, 2005.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Lecture notes prepared for a course at the Weizmann Institute of Science, 2005

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:10.098813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 812e2df6-f1e7-4d0d-b5f7-8b276761a266 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.079737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 470b667f-ead2-4e8f-911b-872841b76812 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.051625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 43d682a4-bdc5-4f88-a0a3-64fd99ab2e87 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.032885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b3420745-fefb-4f43-9776-7b49a4ec85c2 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:10.010288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 35430cce-7548-470c-800c-260367f702a1 · outbound

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

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound A note on Bourgain's slicing problem

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T11:52:09.473800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54982aa4-571d-41ce-ad9d-b111be39dbf9 · outbound

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

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound A Slightly Improved Bound for the KLS Constant

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T11:52:09.479903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23898968-6500-4519-9326-92c6e7fc8847 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.988404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ce658c9e-902a-4bc9-90dc-c7500c5f0e56 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.969724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation da8d1144-36bc-458c-8ee9-ee8a56173dd9 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.953309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e439b6a5-cac4-410e-a644-c351d62eadb0 · outbound

This paper cites Lecture notes from a winter school at the Hausdorff Institute, January 202 1.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Lecture notes from a winter school at the Hausdorff Institute, January 202 1

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.935325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4b87dc0c-226b-4c30-bac7-231e9791b93b · outbound

This paper cites Ars Inven.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Ars Inven

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.917444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 50307d80-47de-46b6-9f75-a71ae78c69df · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.901048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ae19bee-b895-4dc1-b6be-83a3c91ef235 · outbound

This paper cites To appear in Bull.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound To appear in Bull

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.883806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 465b1e0a-c3b0-4f65-b994-bd55bcf96945 · outbound

This paper cites In: Analysis at Large, dedicated to the Life and Work of Jean Bourgain, edited by A.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound In: Analysis at Large, dedicated to the Life and Work of Jean Bourgain, edited by A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.867437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e130fd05-3547-4939-98e8-05ebe6ff4842 · outbound

This paper cites The strong data processing inequality under the heat flow.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound The strong data processing inequality under the heat flow

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T11:52:09.643552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bd05297a-ad23-4be2-bbdd-ffe04ac99201 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.849432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e0c09fed-2402-4aaf-bbaa-b972310c2a5b · outbound

This paper cites T., V empala, S., Eldan’s Stochastic Localization and the KLS Conjecture: Isoperimetry, Concentration and Mixing.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound T., V empala, S., Eldan’s Stochastic Localization and the KLS Conjecture: Isoperimetry, Concentration and Mixing

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.830728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 141fe17e-3a29-4e6c-8ca9-f83605c51439 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.812838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e83ec2ef-bdc8-4ea1-bf97-8160434d5b0d · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.794614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f59ae619-7e03-45d1-ab59-0d3ac0e3d80a · outbound

This paper cites D., An inverse form of the Brunn-Minkowski inequality, with app lications to the local theory of normed spaces.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound D., An inverse form of the Brunn-Minkowski inequality, with app lications to the local theory of normed spaces

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.774929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1acd1fea-a0c2-4e16-9c56-cfe0e45cea42 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.749960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fd91ed68-be66-4e42-a633-0e1afc632a01 · outbound

This paper cites an unresolved cited work.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:52:09.724786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation de3ca34d-b712-4a94-9d7d-c2c012597b3e · outbound

This paper cites Cambridge Tracts in Math., V ol.

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound Cambridge Tracts in Math., V ol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:52:09.704831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation bea1db5c-5a59-49b0-9033-d540745f8fa7 · inbound

On the Number of Vertices in a Hyperplane Section of a Polytope cites this paper.

On the Number of Vertices in a Hyperplane Section of a Polytope Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T14:18:17.980224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9fff1cb-cbe8-4759-ae9e-6417fe1a5fa3 · inbound

Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls cites this paper.

Limit Theorems for the Volume of Random Projections and Sections of $\ell_p^N$-balls Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-11T10:59:27.592507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aa09835-677a-44db-8710-67b2b11613bd · inbound

The slicing conjecture via small ball estimates cites this paper.

The slicing conjecture via small ball estimates Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:59:27.778341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3c7822c7-42e3-492a-a088-d6ecd385c595 · inbound

Isomorphic Busemann--Petty for arbitrary measures: the sharp order cites this paper.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T15:16:53.966971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.