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Paper Citation Record · LEDGER

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.07216.

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

pith.paper-citation-record.v1
2608.07216 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:49:48.697778Z

measured 18 of 18 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 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

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55d93e69-6425-4e44-b785-b38fd3ac23c7 · outbound

This paper cites Ball,Logarithmically concave functions and sections of convex sets in Rn, Studia Math.88(1988), no.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Ball,Logarithmically concave functions and sections of convex sets in Rn, Studia Math.88(1988), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.962397Z

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=2026-08-10T12:49:48.627732Z digest=sha256:67bb1225dfa7d10dddc7bc136fbc893f6188911bed47122b3dfa33cea3ac87c9

Observation bee22e76-f719-446a-b7c3-64bb5fc92923 · outbound

This paper cites The slicing conjecture via small ball estimates.

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.

source=pdf_text observed=2026-08-10T12:49:48.632360Z digest=sha256:7f47a040e78340aaa3213414cae00279a087e00400ecc58faaf56fa5c99d3e29

Observation 904a7beb-c970-4c98-a106-cf40cb35aec4 · outbound

This paper cites Optimal $MM^*$ bounds for convex bodies.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Optimal $MM^*$ bounds for convex bodies

Reference 3

Resolution
verified exact
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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T12:49:48.636758Z digest=sha256:1d8e0c3d8ec31595e29d846cbe6f1c23283fd32cadf65768a1e0249dfae6f469

Observation 98ebf9a3-4006-433a-9227-5b28a419933c · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Distances between non-symmetric convex bodies: optimal bounds up to polylog

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T12:49:48.641053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:49:48.641053Z digest=sha256:0ff0cefebd59d602009467eec54b1d0f7e92127155a4f3e30639d97707ffcec2

Observation 92763c40-57d6-4c09-87a7-675f0936615b · outbound

This paper cites Borell,Convex measures on locally convex spaces, Ark.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Borell,Convex measures on locally convex spaces, Ark

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.950273Z

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=2026-08-10T12:49:48.645722Z digest=sha256:25d64cb1efa5bdf697f77b51b352f4c03495e3186de2df9d473d6388eb77962b

Observation 250fa70f-fa91-4421-95fd-4a703fcc7f97 · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Bourgain,On high-dimensional maximal functions associated to convex bodies, Amer

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.938841Z

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=2026-08-10T12:49:48.649831Z digest=sha256:93fb008125bf5dc82a9eca210f8fc9e152bd03fa8d7edec63db1342308dee328

Observation 5df22d07-e5b2-4db3-9493-d7ad9dc31484 · outbound

This paper cites Brazitikos, A.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Brazitikos, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.928186Z

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=2026-08-10T12:49:48.654432Z digest=sha256:6c43ff1138e4e9d41afb4be2fc90ceb45db35f7857e43937ee7ab677a4176560

Observation 12eda940-f7cd-4552-be55-1542124d67df · outbound

This paper cites Dafnis and G.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Dafnis and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.917188Z

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=2026-08-10T12:49:48.658369Z digest=sha256:375ce09a2fd4fcfc7c6df06ea561ce3578805429d9f9bdc52c9fb962caf0c966

Observation 6602218b-86b9-477e-a859-f4b58d14f007 · outbound

This paper cites Giannopoulos and E.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Giannopoulos and E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.905143Z

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=2026-08-10T12:49:48.662060Z digest=sha256:2983c41f55a816f928748158b13e052ec6986cf635a77f0c88d874475b9ee3db

Observation 470d1023-95ac-4cfa-9dfd-9006c566d3bb · outbound

This paper cites Giannopoulos, P.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Giannopoulos, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.891866Z

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=2026-08-10T12:49:48.665951Z digest=sha256:5d7b022b63ec2e1bcbc5ccc6685f49a801cf2afc3a31a468be5fef56dfc7c029

Observation 6cc75e8c-97d1-4201-9a96-397380cda761 · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position A note on Bourgain's slicing problem

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T12:49:48.669974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:49:48.669974Z digest=sha256:ef44a809bd8c7f00dcaee3e5f1f49033041d5dbccc566615d782ab94bb4f2f0a

Observation 44c1704a-94f4-4d34-b276-8906b16c9292 · outbound

This paper cites Klartag and J.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Klartag and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.878007Z

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=2026-08-10T12:49:48.674066Z digest=sha256:a8b549767437daca0f80062b015df7e6eda50a70e592686851c71c501537ea01

Observation 000477da-8f95-4397-9b42-5e980f7d45a0 · outbound

This paper cites Klartag and E.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Klartag and E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.865785Z

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=2026-08-10T12:49:48.677942Z digest=sha256:fd2bd7094a170713d1132aeabc09f3602ed1fdab5b032e0a51c6dbfb60697b72

Observation 9d9eca05-6fec-443c-ae17-c461aa161a3a · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position The KLS constant is $O(\log^{1/4} n)$

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:49:48.756638Z

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=2026-08-10T12:49:48.681953Z digest=sha256:6fb00a501ba438c04e1c9a05be5b35a7429018fc39754016554ffd4cce7a74c4

Observation 5d5619b7-8fbf-4083-a283-3844f22eda2e · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Milman,On the mean-width of isotropic convex bodies and their associated Lp- centroid bodies, Int

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.853199Z

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=2026-08-10T12:49:48.686138Z digest=sha256:74f7de1c1840e624ec4da3cacad2f8bb5b1372ebaa232313deb93fd629e6939b

Observation 6069b36f-775b-4ad4-9d6a-c3e312086c03 · outbound

This paper cites Paouris,Small ball probability estimates for log-concave measures, Trans.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Paouris,Small ball probability estimates for log-concave measures, Trans

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.840265Z

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=2026-08-10T12:49:48.689823Z digest=sha256:1078e940cfc3a4f930723dfceea399efe4c2486543a58e614e5180a28205f7bd

Observation 590e63d8-157b-47e5-8b0d-6a3bb35223ad · outbound

This paper cites Optimal mean width and metric entropy estimates for convex bodies.

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Optimal mean width and metric entropy estimates for convex bodies

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T12:49:48.736741Z

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=2026-08-10T12:49:48.693544Z digest=sha256:d705b375b67487248db54ee87b3d420eba6a7efadc4c2b814ef259563b0fe00f

Observation e6540d8b-2f05-405b-af12-5cc2ab69d6d2 · outbound

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

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position Vritsiou,Regular ellipsoids and a Blaschke–Santal´ o-type inequality for projections of non-symmetric convex bodies, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T12:49:48.826714Z

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=2026-08-10T12:49:48.697778Z digest=sha256:476fccfe706f764918b418252024d410b643a623a00785274059d953e08213d5

Pith citing papers

No inbound Pith citation observations are available.