Pith Number

pith:UMBNTC7Q

pith:2026:UMBNTC7QUTZEKT5CKGYWCTGPH4

not attested not anchored not stored refs pending

Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes

Nikita Zhivotovskiy, Reese Pathak

arxiv:2603.02714 v2 · 2026-03-03 · math.PR · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMBNTC7QUTZEKT5CKGYWCTGPH4}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A Bayesian Proof of the Bernoulli Theorem

Receipt and verification

First computed	2026-06-05T00:13:45.782800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a302d98bf0a4f2454fa251b1614ccf3f0d3042087e131fbc375baa741ac5aefa

Aliases

arxiv: 2603.02714 · arxiv_version: 2603.02714v2 · doi: 10.48550/arxiv.2603.02714 · pith_short_12: UMBNTC7QUTZE · pith_short_16: UMBNTC7QUTZEKT5C · pith_short_8: UMBNTC7Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UMBNTC7QUTZEKT5CKGYWCTGPH4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a302d98bf0a4f2454fa251b1614ccf3f0d3042087e131fbc375baa741ac5aefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1354d6af9015a0e825e7c4f286001c4d23459437b765c3f95809b841bc175cf",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-03-03T08:08:45Z",
    "title_canon_sha256": "2ee493dda5da5a97824fea72681c7e3a2243fd07fbddf32c7476f4abc8c2530a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.02714",
    "kind": "arxiv",
    "version": 2
  }
}