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Paper Citation Record · LEDGER

Isomorphic Busemann--Petty for arbitrary measures: the sharp order

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2608.02098.

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

pith.paper-citation-record.v1
2608.02098 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:16:54.003411Z

measured 28 of 28 standing notices

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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  • verified fuzzy0
  • unresolved20
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ca0a396-fb7c-48c3-885b-590c0b58d260 · outbound

This paper cites Artstein-Avidan, A.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Artstein-Avidan, A

Reference 1

Resolution
verified exact
doi, observed 2026-08-04T15:19:49.038590Z

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.

source=pdf_text observed=2026-08-04T15:16:53.920058Z digest=sha256:5e5d9fb9655b6aceca13730cd6ba80c4323c162953005696a7f4b984443a0ac3

Observation 174eaca2-a5f4-4ddb-8571-5aa514005f18 · outbound

This paper cites The slicing conjecture via small ball estimates.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order The slicing conjecture via small ball estimates

Reference 2

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source=pdf_text observed=2026-08-04T15:16:53.923756Z digest=sha256:337d98be29cf35c1858272c10013f9ab04ea3a378a9bb541ae427d5a4664e6f6

Observation ce8a2e12-50f5-47ec-b2ba-80afcd716786 · outbound

This paper cites Estimates for moments of general measures on convex bodies.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Estimates for moments of general measures on convex bodies

Reference 3

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.927656Z digest=sha256:2dea45fac9a0d8866a33fcc7e8dd90a617d3196d6c4dc9d8bb55457a3c36e23a

Observation a734aa03-6c8b-4bc3-a358-9cb046136849 · outbound

This paper cites Bourgain,On high-dimensional maximal functions associated to convex bodies, Amer.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Bourgain,On high-dimensional maximal functions associated to convex bodies, Amer

Reference 4

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verified exact
doi, observed 2026-08-04T15:19:48.862209Z

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.

source=pdf_text observed=2026-08-04T15:16:53.931177Z digest=sha256:51c8d2d654cc3bdff967970ee1b8f729603179d3728017f3d8a2d8c96a1900e4

Observation 93cb064b-9a4e-4157-b88a-3bf44dfed9c4 · outbound

This paper cites Busemann and C.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Busemann and C

Reference 5

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no resolver link, observed 2026-08-04T15:16:53.934292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.934292Z digest=sha256:adaf10d13d15ceda2fd5d1b6c68171c620541a9cf5479db4aa75fece9d8bebe3

Observation f2eb59a2-a046-43d2-bad7-81a30e7716a8 · outbound

This paper cites Chasapis, A.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Chasapis, A

Reference 6

Resolution
verified exact
doi, observed 2026-08-04T15:19:48.635340Z

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.

source=pdf_text observed=2026-08-04T15:16:53.937376Z digest=sha256:02e57b441a779e63855e593776e6f9741fdca5c799fe5646f3cbf7c9ae2ed3ed

Observation a28cedb3-48c8-4574-8803-5faebe45c2ee · outbound

This paper cites An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture

Reference 7

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.940692Z digest=sha256:89dd8ae9d2ff6bac6c670facc7866e0478137bd6a6daf90d52ae8b7763be80b1

Observation d930dd98-2eef-42f7-b6ce-c30304a1d5f3 · outbound

This paper cites Galicer, J.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Galicer, J

Reference 8

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.943840Z digest=sha256:3016c4a7886d17d062346640b2c97ab29ab13c19de3e43bc48dda0bab5dd2ea9

Observation a54ac3c6-df60-4f59-a5b7-65e17e9022e8 · outbound

This paper cites an unresolved cited work.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-04T15:16:53.946546Z digest=sha256:4ead80add577cf55629944409f44a03410b3d06d94b94aced76d58cd95526fb1

Observation ea2e5960-aa9a-4361-97ce-793542bc63ef · outbound

This paper cites An analytic solution to the Busemann-Petty problem on sections of convex bodies.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order An analytic solution to the Busemann-Petty problem on sections of convex bodies

Reference 10

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source=pdf_text observed=2026-08-04T15:16:53.949229Z digest=sha256:4bbf85d1b2fe20c9bb6a79176906e897cc6339312ae14ed44e5d296707a75051

Observation c043204b-5062-4617-9184-7d0f965d913d · outbound

This paper cites an unresolved cited work.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-04T15:19:48.510193Z

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.

source=pdf_text observed=2026-08-04T15:16:53.952271Z digest=sha256:345710ee287cd8d9a48c4db92459edc99ae9b3e49a340eee0b7ffdf72206e321

Observation a683e5dc-3a2a-48e3-b3d4-b71de2621c62 · outbound

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

Isomorphic Busemann--Petty for arbitrary measures: the sharp order A note on Bourgain's slicing problem

Reference 12

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source=pdf_text observed=2026-08-04T15:16:53.955202Z digest=sha256:e059d8595a3de1c9e51a3978e347a3c539ca0a58898a63fc262c98bcb5fcafa3

Observation d66493f9-375d-4509-906a-0fe1aa891308 · outbound

This paper cites An example related to the slicing inequality for general measures.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order An example related to the slicing inequality for general measures

Reference 13

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source=pdf_text observed=2026-08-04T15:16:53.958254Z digest=sha256:af7ec484a2746f24acb86c8dd88f9af75b6a38395412a707329ce5ff9fe25b42

Observation 237ea9b6-2323-41c6-9d72-3ae4952bdd9c · outbound

This paper cites The lower bound for Koldobsky's slicing inequality via random rounding.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order The lower bound for Koldobsky's slicing inequality via random rounding

Reference 14

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unresolved
no resolver link, observed 2026-08-04T15:16:53.961213Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.961213Z digest=sha256:a18126799d290d7c8b570ca00f3080cb7489b036a890f3ee3aa6ce579b07cc5e

Observation 415ca531-ed96-4a94-97b9-68891a9ff4f7 · outbound

This paper cites Bourgain's slicing problem and KLS isoperimetry up to polylog.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Bourgain's slicing problem and KLS isoperimetry up to polylog

Reference 15

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unresolved
no resolver link, observed 2026-08-04T15:16:53.964019Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.964019Z digest=sha256:3ad6b1bbb4599ab337f8d0041ac6e61f3caaba0cb8cbef13c4f588ee7b0933f3

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

This paper cites Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound.

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

Reference 16

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.966971Z digest=sha256:4f94e3e4b7e4a42e96f36ac44b80cf3d8933b7acc75e74471ec4814ccb6ce634

Observation e48be2e9-dbd7-441e-9fa5-dc2d7a3f3c8c · outbound

This paper cites Koldobsky,Fourier Analysis in Convex Geometry, Mathematical Surveys and Monographs, vol.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Koldobsky,Fourier Analysis in Convex Geometry, Mathematical Surveys and Monographs, vol

Reference 17

Resolution
verified exact
doi, observed 2026-08-04T15:19:48.339339Z

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.

source=pdf_text observed=2026-08-04T15:16:53.970336Z digest=sha256:a6fe2666cbffc9d8c3444d25412650e3a27fc7b749ce9cafaf809b4c468ab09b

Observation ee4339a4-8881-46e7-b348-a3c19981d959 · outbound

This paper cites A $sqrt{n}$ estimate for measures of hyperplane sections of convex bodies.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order A $sqrt{n}$ estimate for measures of hyperplane sections of convex bodies

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:53.973199Z digest=sha256:2e6ab42ff5851323a5bf9b25d6a3a7be1f4c3180be7134d845af0c189f42ef0b

Observation fc049518-becf-44a5-9aa5-396a899123fc · outbound

This paper cites Slicing inequalities for measures of convex bodies.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Slicing inequalities for measures of convex bodies

Reference 19

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source=pdf_text observed=2026-08-04T15:16:53.976316Z digest=sha256:ef82cea236391393f0839df4ea8d2a6e47ad24f21c266cd6c2cb41f2fa834d64

Observation e0c1a6bd-b805-45ba-8c6f-be614db57d35 · outbound

This paper cites Measure comparison and distance inequalities for convex bodies.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Measure comparison and distance inequalities for convex bodies

Reference 20

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source=pdf_text observed=2026-08-04T15:16:53.979575Z digest=sha256:7e0874efaeb08828c52f7971a43e1089b5691e561b8f1996f41bdec796d2baa2

Observation eec261ad-bcc8-4c23-9a25-83b5bf87be6d · outbound

This paper cites An isomorphic version of the Busemann-Petty problem for arbitrary measures.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order An isomorphic version of the Busemann-Petty problem for arbitrary measures

Reference 21

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source=pdf_text observed=2026-08-04T15:16:53.982568Z digest=sha256:e28d31dec4802a8dee261c7f7ef6f632ba8b3ef5f8ddbddb198b5f4f97ea30af

Observation 1f035f4c-d88c-43a8-bd66-6065c9779344 · outbound

This paper cites an unresolved cited work.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-04T15:16:53.986101Z digest=sha256:d7c1be802677b894a1b90dfea2f1d758b410af18fc44e949310eae2a98d271d3

Observation e5f6eec6-9b9b-4c76-abc6-81166d4ec0ac · outbound

This paper cites an unresolved cited work.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Unresolved cited work

Reference 23

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no resolver link, observed 2026-08-04T15:16:53.989246Z

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source=pdf_text observed=2026-08-04T15:16:53.989246Z digest=sha256:dbe005493f6d8ffe62cc3b4c0b607af4f20b7a0979036ba7a8ef265b06e6fe4a

Observation 51a35cf2-7dd6-4a7c-b3d2-ad4a59db0644 · outbound

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

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Pisier,The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Mathematics, vol

Reference 24

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verified exact
doi, observed 2026-08-04T15:19:48.190324Z

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

source=pdf_text observed=2026-08-04T15:16:53.991916Z digest=sha256:d3ed7d7afa31f8f36cf6d799809feba019a84c9c960eed010c0e318acd5ab417

Observation 59bc1a16-ecea-422b-bc42-a86698890ffe · outbound

This paper cites Tziotziou,Inequalities for sections and projections of log-concave functions, J.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Tziotziou,Inequalities for sections and projections of log-concave functions, J

Reference 25

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verified exact
doi, observed 2026-08-04T15:19:48.007776Z

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.

source=pdf_text observed=2026-08-04T15:16:53.994556Z digest=sha256:163b11453a3e103e745e28744920ce8b19965acbab5c782ff60fed2ece9071a2

Observation 9090a91a-2bd4-4c76-b8a3-ad473e69360a · outbound

This paper cites Wu,The isomorphic Busemann–Petty problem fors-concave measures, Geom.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order Wu,The isomorphic Busemann–Petty problem fors-concave measures, Geom

Reference 26

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verified exact
doi, observed 2026-08-04T15:19:47.891067Z

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.

source=pdf_text observed=2026-08-04T15:16:53.997299Z digest=sha256:8f3c1553e42f396675797afa069c298d64bb73a2fd760e89da000d45b5eab8d8

Observation df07b1f8-2636-4855-90ac-c60dbf4490aa · outbound

This paper cites A positive solution to the Busemann-Petty problem in R^4.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order A positive solution to the Busemann-Petty problem in R^4

Reference 27

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source=pdf_text observed=2026-08-04T15:16:54.000225Z digest=sha256:109558c98af44d6e129f1e89181060329f74202ed9299d3da4f1e9ec299cdb41

Observation 97951d1e-df4e-494f-ba5e-13232f6a147c · outbound

This paper cites The Busemann-Petty problem for arbitrary measures.

Isomorphic Busemann--Petty for arbitrary measures: the sharp order The Busemann-Petty problem for arbitrary measures

Reference 28

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:16:54.003411Z digest=sha256:61330b982cdb17493bae800c292059f181f881c3d590547706440dda375a4912

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