Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T20:59:27.709556Z
Paper Citation Record · LEDGER
The slicing conjecture via small ball estimates
As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 13 inbound Pith citation observations for arXiv:2501.06854.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:21:29.851422Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-09T02:35:53.793932Z
Reference resolution
16 of 16 outbound references displayed
- verified exact2
- verified fuzzy12
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 884ec52c-3497-41ad-8b33-15296775fded · outbound
This paper cites Geometry of Banach spaces and harmonic an alysis.
The slicing conjecture via small ball estimates Geometry of Banach spaces and harmonic an alysis
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:28.023781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 02fdc929-02e1-4293-abc8-36ee96985b9b · outbound
This paper cites On high dimensional maximal functions as sociated to convex bodies.
The slicing conjecture via small ball estimates On high dimensional maximal functions as sociated to convex bodies
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:28.003658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ccdfc28d-bffe-455b-b986-2198757978b9 · outbound
This paper cites Symmet rization and isotropic constants of convex bodies.
The slicing conjecture via small ball estimates Symmet rization and isotropic constants of convex bodies
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.987608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9d5791b7-5b3d-405f-aed4-90ce5dc649e7 · outbound
This paper cites Small ball probabili ty estimates, ψ 2-behavior and the hyperplane conjecture.
The slicing conjecture via small ball estimates Small ball probabili ty estimates, ψ 2-behavior and the hyperplane conjecture
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.971515Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fdda4521-a795-43dc-a2ae-328e584dfc48 · outbound
This paper cites Thin shell implies spectral gap up to polylo g via a stochastic localization scheme.
The slicing conjecture via small ball estimates Thin shell implies spectral gap up to polylo g via a stochastic localization scheme
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.955857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1e7f0b93-a6aa-43ed-b056-6b2aabe540b1 · outbound
This paper cites A note on Bourgain's slicing problem.
The slicing conjecture via small ball estimates A note on Bourgain's slicing problem
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:59:27.653413Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20542f69-fc55-4416-92e8-ac4e2a5a28c2 · outbound
This paper cites A convex/log-concave correlation inequ ality for Gaussian measure and an application to abstract Wiener spaces.
The slicing conjecture via small ball estimates A convex/log-concave correlation inequ ality for Gaussian measure and an application to abstract Wiener spaces
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.938539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 88dbaeb1-0fa3-4e7a-82b1-3137ab21255c · outbound
This paper cites Discrete & Computational Geometry, 13:541–559, 1995.
The slicing conjecture via small ball estimates Discrete & Computational Geometry, 13:541–559, 1995
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.921447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6297f626-e23a-4179-870c-ea314e96ab8e · outbound
This paper cites Logarithmic bounds for isoperimetry and slices of convex sets.
The slicing conjecture via small ball estimates Logarithmic bounds for isoperimetry and slices of convex sets
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:59:27.669938Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9aa09835-677a-44db-8710-67b2b11613bd · outbound
This paper cites Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound.
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 2026-08-17T06:30:58.91139+00:00.
Observation 235e7f2b-fdbb-4e9f-9b9b-422777126b2e · outbound
This paper cites Isoperimetric inequalities in high-dimensional convex sets.
The slicing conjecture via small ball estimates Isoperimetric inequalities in high-dimensional convex sets
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T20:59:27.754959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 786ad56a-8710-4379-adb6-976a6b7c841b · outbound
This paper cites The slicing problem by Bourgain.
The slicing conjecture via small ball estimates The slicing problem by Bourgain
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.902498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cf3a88b5-b5f0-4cf9-9b82-a34e445c7a57 · outbound
This paper cites The concentration of measure phenomenon.
The slicing conjecture via small ball estimates The concentration of measure phenomenon
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.884141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dd9f51bb-5661-4475-a599-7fdbf3d2c158 · outbound
This paper cites Eldan’s stochastic localization and the KLS conjecture: Isoperimetry, concentration and mixing.
The slicing conjecture via small ball estimates Eldan’s stochastic localization and the KLS conjecture: Isoperimetry, concentration and mixing
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.867633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 27b90584-4745-42a4-9d2e-d75862ef5ace · outbound
This paper cites An inverse form of the Brunn-Minkowski i nequality with applications to local theory of normed spaces.
The slicing conjecture via small ball estimates An inverse form of the Brunn-Minkowski i nequality with applications to local theory of normed spaces
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.849376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5f0cd27d-2899-4c6e-90ff-d3f516b5044e · outbound
This paper cites Small ball probability estimates fo r log-concave measures.
The slicing conjecture via small ball estimates Small ball probability estimates fo r log-concave measures
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:59:27.831307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
Observation 0eb8d1c5-68a3-4161-8663-1148f1817945 · inbound
Faster logconcave sampling from a cold start in high dimension cites this paper.
Faster logconcave sampling from a cold start in high dimension The slicing conjecture via small ball estimates
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:21:29.851422Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5b00c33-4d1c-4635-9aa4-e97b66996474 · inbound
Distances between non-symmetric convex bodies: optimal bounds up to polylog cites this paper.
Distances between non-symmetric convex bodies: optimal bounds up to polylog The slicing conjecture via small ball estimates
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T08:32:50.702464Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29c33587-4009-4ab8-985f-bef4e8e390ff · inbound
Minimum Norm Interpolation via the Local Theory of Banach Spaces: The Role of $2$-Uniform Convexity cites this paper.
Minimum Norm Interpolation via the Local Theory of Banach Spaces: The Role of $2$-Uniform Convexity The slicing conjecture via small ball estimates
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T17:12:55.945641Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97628928-1b45-45d5-b50c-52174cae5a0a · inbound
Banach-Mazur distances and basis constants of isotropic log-concave random spaces cites this paper.
Banach-Mazur distances and basis constants of isotropic log-concave random spaces The slicing conjecture via small ball estimates
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:29.693975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6444ee55-e98c-4471-bc0d-ea37b98b95b2 · inbound
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures cites this paper.
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures The slicing conjecture via small ball estimates
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:01:19.086336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 555e4a04-88f2-4000-a7a4-da7a0cded0ad · inbound
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures cites this paper.
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures The slicing conjecture via small ball estimates
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T00:35:10.372847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation eaa2ecd7-c9e7-4520-81a8-ad762caf355b · inbound
Minimum Norm Interpolation via The Local Theory of Banach Spaces: The Role of Gaussianity cites this paper.
Minimum Norm Interpolation via The Local Theory of Banach Spaces: The Role of Gaussianity The slicing conjecture via small ball estimates
Reference 4
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-09T02:35:53.800060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c1c08096-2ee0-45c0-899d-f01ecd4089dc · inbound
Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes cites this paper.
Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes The slicing conjecture via small ball estimates
Reference 150
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T03:26:29.825241Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2b2820f-2d08-4411-97c3-0f2a8cfc13f3 · inbound
The KLS constant is $O(\log^{1/4} n)$ cites this paper.
The KLS constant is $O(\log^{1/4} n)$ The slicing conjecture via small ball estimates
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T22:15:48.421964Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91a40957-5b76-4629-b282-3d0b9f655ead · inbound
Optimal $MM^*$ bounds for convex bodies cites this paper.
Optimal $MM^*$ bounds for convex bodies The slicing conjecture via small ball estimates
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T06:52:04.226599Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 174eaca2-a5f4-4ddb-8571-5aa514005f18 · inbound
Isomorphic Busemann--Petty for arbitrary measures: the sharp order cites this paper.
Isomorphic Busemann--Petty for arbitrary measures: the sharp order The slicing conjecture via small ball estimates
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T15:16:53.923756Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bee22e76-f719-446a-b7c3-64bb5fc92923 · inbound
Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position cites this paper.
Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position The slicing conjecture via small ball estimates
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:49:48.632360Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e4e9606-ddc2-4c03-a1c3-3b198d5e8a5e · inbound
Geometry of the subgaussian body of an isotropic convex body cites this paper.
Geometry of the subgaussian body of an isotropic convex body The slicing conjecture via small ball estimates
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:24:27.384756Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.