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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=sha256:3550a9651dbc2d08e2319a081df5ac89b5bd2fddd1b796ca129843d34490f881

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=sha256:9ba9680987afe36c7f362ee0c242ae2da2f1a11e404304aed61b315347075b1b

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=sha256:4c9a00e771760655bb203686eaeb8ce2e53702d10c62fea2a317c6f0213cb6d3

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=sha256:6435b95e56021a03e64efd176877831663d9be30c60b69fa90e8592f49118dd4

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:b39da07118257ba10789406fa430246cc744eb4615baf56706c024f0f885f1ff

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:e25ff709b7ff5b768ec2945c88a8b0f974e8848e7ebc66ef444413a4105550ed

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=sha256:942f727dab0c7aca2b2f2fd33fb0fce7ca1bd614ebfc67576973f658dbeefe03

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=sha256:5263f66d6734f74fa1f473dbd64365e1afd9037428b5bbfcaf300d10db5bffea

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:fa070299aecd11d934ecc325e34544b11d1450f487d7343ed226b152b18560d3

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=sha256:6cdad4d95814f55b5a499eee62d90c7e13ce9539a14d0892979e997c7d4e1e85

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:d21ec93cbdf1a2eb3026cfc4289c2b6b870d82f70a36ed5baf3da90620680fe7

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:a0c79eacd159397e36b3742ff1be89532084a0791826b4fded44b40b5652742c

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:fc9eeb5619b5c404d96cebaf50af697c3b4c4893c4f1596c2e5dbd68f15e3d40

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:a1eeee78e23d54b11274abc5c2f97644f4f77890e04ab14e5e2d57cb0ba1d77a

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=sha256:8027f27172b91a9bf29adc6ef2e4aacdd6d839210848ad8ee48f8b7350656d41

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=sha256:2589e5792eb230abad293ce0157b8d930be8be6a73a491bb8295fe94aae20d08

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:ff6030fdf779b23fd61622f7839d16c8097700f2987d205cd2565a7467dc77bc

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=sha256:1e38b31b5dd8b4e4180387da9ca0caa54a32c3a310aab84fbcc936eb36e3f5a6

Pith citing papers

No inbound Pith citation observations are available.