Pith Number

pith:4Y7CFQY2

pith:2009:4Y7CFQY24NMW3U7GNTBKVQIOMQ

not attested not anchored not stored refs pending

Intrinsic volumes of inscribed random polytopes in smooth convex bodies

Ferenc Fodor, Imre B\'ar\'any, Viktor V\'igh

arxiv:0906.0309 v1 · 2009-06-01 · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Y7CFQY24NMW3U7GNTBKVQIOMQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T02:26:32.146177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63e22c31ae3596dd3e66cc2aac10e640f9e801511ac038bfebee107d5c058ef

Aliases

arxiv: 0906.0309 · arxiv_version: 0906.0309v1 · doi: 10.48550/arxiv.0906.0309 · pith_short_12: 4Y7CFQY24NMW · pith_short_16: 4Y7CFQY24NMW3U7G · pith_short_8: 4Y7CFQY2

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/4Y7CFQY24NMW3U7GNTBKVQIOMQ \
  | 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: e63e22c31ae3596dd3e66cc2aac10e640f9e801511ac038bfebee107d5c058ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a202c2707de7b85e9a238094beee170b258a2ccd460f392d8d945e850ee87763",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-06-01T15:56:52Z",
    "title_canon_sha256": "b4914726a5db9da6bb8b2a7cfcf9ca5cb7fab0b95b00c39ed5f6a550384c6b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0309",
    "kind": "arxiv",
    "version": 1
  }
}