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Paper Citation Record · LEDGER

Optimal $MM^*$ bounds for convex bodies

As of 20 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 4 inbound Pith citation observations for arXiv:2607.29458.

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

pith.paper-citation-record.v1
2607.29458 v1

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measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T06:52:06.406799Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:00:39.083041Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-10T12:49:48.795825Z

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38 of 38 outbound references displayed

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Outbound references

Observation b1539ad4-fdb6-41ad-a4e2-327f03832247 · outbound

This paper cites Alonso-Guti´ errez and J.

Optimal $MM^*$ bounds for convex bodies Alonso-Guti´ errez and J

Reference 1

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Observation d22d1e71-21f6-4062-9165-fa5b01f9de9e · outbound

This paper cites Anttila, K.

Optimal $MM^*$ bounds for convex bodies Anttila, K

Reference 2

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Observation b911aba6-b561-4b6c-9998-8ec97f257be7 · outbound

This paper cites Artstein-Avidan, A.

Optimal $MM^*$ bounds for convex bodies Artstein-Avidan, A

Reference 3

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Observation 0f818c41-7130-45f5-a6f8-9fce6a54fe25 · outbound

This paper cites Banaszczyk, A.

Optimal $MM^*$ bounds for convex bodies Banaszczyk, A

Reference 4

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Observation 1f47e5c7-0069-400d-b919-605d474c51a4 · outbound

This paper cites Barthe and B.

Optimal $MM^*$ bounds for convex bodies Barthe and B

Reference 5

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Observation 91a40957-5b76-4629-b282-3d0b9f655ead · outbound

This paper cites The slicing conjecture via small ball estimates.

Optimal $MM^*$ bounds for convex bodies The slicing conjecture via small ball estimates

Reference 6

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Observation 1ae9e279-c94c-4a38-bc2d-c06e5065175b · outbound

This paper cites Distances between non-symmetric convex bodies: optimal bounds up to polylog.

Optimal $MM^*$ bounds for convex bodies Distances between non-symmetric convex bodies: optimal bounds up to polylog

Reference 7

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Observation ce3d4728-b84e-4a5f-8c5e-5dc011b7b471 · outbound

This paper cites an unresolved cited work.

Optimal $MM^*$ bounds for convex bodies Unresolved cited work

Reference 8

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Observation e6de08bf-44ec-4395-976e-dd40cb65c3fb · outbound

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Optimal $MM^*$ bounds for convex bodies Unresolved cited work

Reference 9

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Observation 01acc384-5956-4fe6-aee8-ea7bc228214b · outbound

This paper cites Brazitikos, A.

Optimal $MM^*$ bounds for convex bodies Brazitikos, A

Reference 10

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

This paper cites Digesting the proof of the sharp thin-shell inequality.

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

Reference 11

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Observation c637c399-4bae-437b-9f52-4cc9804dbbec · outbound

This paper cites Cordero-Erausquin and B.

Optimal $MM^*$ bounds for convex bodies Cordero-Erausquin and B

Reference 12

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Observation 0d89e790-6131-4dbf-af15-0293f1e47e97 · outbound

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Optimal $MM^*$ bounds for convex bodies Unresolved cited work

Reference 13

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Observation 5ada7852-31c4-4715-8084-8dc03eb96f1c · outbound

This paper cites Eldan,Thin shell implies spectral gap up to polylog via a stochastic localization scheme, Geom.

Optimal $MM^*$ bounds for convex bodies Eldan,Thin shell implies spectral gap up to polylog via a stochastic localization scheme, Geom

Reference 14

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Observation c1af4a55-a51a-48f1-8a90-e08cfe7ddfae · outbound

This paper cites Eldan and J.

Optimal $MM^*$ bounds for convex bodies Eldan and J

Reference 15

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Observation 31968442-a072-48e4-a4e9-99f8ff9e5151 · outbound

This paper cites Fathi,Stein kernels and moment maps, Ann.

Optimal $MM^*$ bounds for convex bodies Fathi,Stein kernels and moment maps, Ann

Reference 16

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Observation ce3eed65-1f97-4eec-9bfc-50879c950450 · outbound

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Optimal $MM^*$ bounds for convex bodies Unresolved cited work

Reference 17

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Observation e0775bd0-680b-4f8f-9e73-be5e070cdace · outbound

This paper cites Giannopoulos and E.

Optimal $MM^*$ bounds for convex bodies Giannopoulos and E

Reference 18

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Observation ffb85139-8999-459b-b036-8aecffec4de7 · outbound

This paper cites Giannopoulos, P.

Optimal $MM^*$ bounds for convex bodies Giannopoulos, P

Reference 19

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Observation d0f0738c-7fe0-4f26-bbed-a7ab4320cbad · outbound

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

Optimal $MM^*$ bounds for convex bodies A note on Bourgain's slicing problem

Reference 20

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source=pdf_text observed=2026-08-03T06:52:05.233233Z digest=sha256:b28a10beac0d365678f14f5545ff7c81475aaceed2c0a3a77e635e47b4be6e0e

Observation d8ef2a26-9048-46c6-a3b4-a057b4cea179 · outbound

This paper cites Kannan, L.

Optimal $MM^*$ bounds for convex bodies Kannan, L

Reference 21

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source=pdf_text observed=2026-08-03T06:52:05.308151Z digest=sha256:8c0ad5f2688b17be8b866e349ae95f9732c46cebe8608a550eefda165787f0ee

Observation 0a38ce0f-fcf2-4d6d-8cf0-eaa8feb31038 · outbound

This paper cites Klartag,A Berry-Esseen type inequality for convex bodies with an unconditional basis, Probab.

Optimal $MM^*$ bounds for convex bodies Klartag,A Berry-Esseen type inequality for convex bodies with an unconditional basis, Probab

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Observation af2f5252-7afb-4fe8-9097-c92e10eda7f1 · outbound

This paper cites Klartag,Logarithmic bounds for isoperimetry and slices of convex sets, Ars Inve- niendi Analytica, Paper No.

Optimal $MM^*$ bounds for convex bodies Klartag,Logarithmic bounds for isoperimetry and slices of convex sets, Ars Inve- niendi Analytica, Paper No

Reference 23

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Observation acebf68a-1754-434b-a065-cf1787dba03a · outbound

This paper cites Klartag,Logarithmically-concave moment measures I, in Geometric Aspects of Functional Analysis, Lecture Notes in Math., Vol.

Optimal $MM^*$ bounds for convex bodies Klartag,Logarithmically-concave moment measures I, in Geometric Aspects of Functional Analysis, Lecture Notes in Math., Vol

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Observation fada6fc1-8c28-490f-9860-ca65e7fa8b85 · outbound

This paper cites Klartag and J.

Optimal $MM^*$ bounds for convex bodies Klartag and J

Reference 25

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Observation 00bed819-f77d-45ff-95aa-f0ec630275c8 · outbound

This paper cites Klartag and J.

Optimal $MM^*$ bounds for convex bodies Klartag and J

Reference 26

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Observation 4ea72874-63a4-4fdc-ada4-8d1b80eef3ca · outbound

This paper cites Klartag and J.

Optimal $MM^*$ bounds for convex bodies Klartag and J

Reference 27

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Observation 5fa7825d-9e58-44cf-a4b6-409df9647c23 · outbound

This paper cites Klartag and J.

Optimal $MM^*$ bounds for convex bodies Klartag and J

Reference 28

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Observation d5d43b0f-52b4-46a8-817b-b8cda042ce5e · outbound

This paper cites Hartzoulaki,Probabilistic methods in the theory of convex bodies, Ph.D.

Optimal $MM^*$ bounds for convex bodies Hartzoulaki,Probabilistic methods in the theory of convex bodies, Ph.D

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Observation f54fe895-2d8b-4f1e-8d5a-226835fcac1a · outbound

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Optimal $MM^*$ bounds for convex bodies Unresolved cited work

Reference 30

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Observation 500eaf10-024d-484e-af0e-206a6ff15023 · outbound

This paper cites The KLS constant is $O(\log^{1/4} n)$.

Optimal $MM^*$ bounds for convex bodies The KLS constant is $O(\log^{1/4} n)$

Reference 31

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Observation 924959a3-6ca1-439e-b83c-88800f41f037 · outbound

This paper cites Milman,On the mean-width of isotropic convex bodies and their associatedL p- centroid bodies, Int.

Optimal $MM^*$ bounds for convex bodies Milman,On the mean-width of isotropic convex bodies and their associatedL p- centroid bodies, Int

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Observation 5d42c2fb-3fba-447b-84d6-4a51dc7ce89c · outbound

This paper cites Paouris,Concentration of mass on convex bodies, Geom.

Optimal $MM^*$ bounds for convex bodies Paouris,Concentration of mass on convex bodies, Geom

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Observation e39df94f-8fe0-4a53-ae5c-d89163539b71 · outbound

This paper cites Pisier,The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Mathematics, Vol.

Optimal $MM^*$ bounds for convex bodies Pisier,The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Mathematics, Vol

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Observation 01633b37-763e-4c08-a44c-dfba5202e4ae · outbound

This paper cites Pivovarov,On the volume of caps and bounding the mean-width of an isotropic convex body, Math.

Optimal $MM^*$ bounds for convex bodies Pivovarov,On the volume of caps and bounding the mean-width of an isotropic convex body, Math

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Observation 71130ea2-39ea-4700-96c8-08f8fa727df8 · outbound

This paper cites Reis and T.

Optimal $MM^*$ bounds for convex bodies Reis and T

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source=pdf_text observed=2026-08-03T06:52:06.313736Z digest=sha256:1097cc8eb0a97034d23da280c591f5fad76efba8039ad0380353201b277abc09

Observation c2a00ef6-f003-4f9d-861d-d082145f3c3c · outbound

This paper cites Rudelson,Distances between non-symmetric convex bodies and theM M ∗-estimate, Positivity4(2000), no.

Optimal $MM^*$ bounds for convex bodies Rudelson,Distances between non-symmetric convex bodies and theM M ∗-estimate, Positivity4(2000), no

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Observation 0b0c45d4-8663-489b-8eb6-4e0168ebbe23 · outbound

This paper cites Vritsiou,Regular ellipsoids and a Blaschke–Santal´ o-type inequality for projec- tions of non-symmetric convex bodies, J.

Optimal $MM^*$ bounds for convex bodies Vritsiou,Regular ellipsoids and a Blaschke–Santal´ o-type inequality for projec- tions of non-symmetric convex bodies, J

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source=pdf_text observed=2026-08-03T06:52:06.406799Z digest=sha256:c05ee3b8328c5ed549e939ef96ec3ccb4497cfd4ddae1fa9ce369a963b180dd9

Pith citing papers

Observation 904a7beb-c970-4c98-a106-cf40cb35aec4 · 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 Optimal $MM^*$ bounds for convex bodies

Reference 3

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local_arxiv, observed 2026-08-10T12:49:48.799997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T12:49:48.636758Z digest=sha256:e3df1c948e9ef29a9fe4ebb1596a5a92706a26266b7996c1cd2156a82ff224e5

Observation c55936c9-0c10-4ec7-8474-51fae4e90d7d · inbound

Geometry of the subgaussian body of an isotropic convex body cites this paper.

Geometry of the subgaussian body of an isotropic convex body Optimal $MM^*$ bounds for convex bodies

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:27.421955Z

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source=pdf_text observed=2026-08-14T04:24:27.421955Z digest=sha256:0819f75ff2e17e093b6f65ce3861b01a00ca6132eb4f221bb5dd649c35d2c06e

Observation 13b10238-01ac-49a5-8da1-9bfead4ed261 · inbound

Moment comparisons, Sudakov inequalities and entropy of centroid bodies cites this paper.

Moment comparisons, Sudakov inequalities and entropy of centroid bodies Optimal $MM^*$ bounds for convex bodies

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:32.480762Z

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source=pdf_text observed=2026-08-12T15:56:32.480762Z digest=sha256:789f7c9bbafa9d486e4f7681809457a5241cfc739f29b026fdd8c506fac3f235

Observation 3402ca6d-0f4b-4e45-9bef-75d506f83e21 · inbound

Spectral and Isoperimetric Bounds on Flat Tori cites this paper.

Spectral and Isoperimetric Bounds on Flat Tori Optimal $MM^*$ bounds for convex bodies

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T18:00:39.083041Z

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source=pdf_text observed=2026-08-15T18:00:39.083041Z digest=sha256:a4fd2061269a16ebf907dc5d0ca3bd471afce796c0417aad50946dfac3733a64