Pith Number

pith:JZZE3R2N

pith:2012:JZZE3R2NHEND3SBQCXPTVJ4BJW

not attested not anchored not stored refs pending

On mean outer radii of random polytopes

David Alonso-Gutierrez, Joscha Prochno, Maria A. Hernandez Cifre, Nikos Dafnis

arxiv:1211.2336 v1 · 2012-11-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZZE3R2NHEND3SBQCXPTVJ4BJW}

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	2026-05-18T03:41:03.708592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e724dc74d391a3dc83015df3aa7814d8b93f7ca1a614438682880cfd626ba2e

Aliases

arxiv: 1211.2336 · arxiv_version: 1211.2336v1 · doi: 10.48550/arxiv.1211.2336 · pith_short_12: JZZE3R2NHEND · pith_short_16: JZZE3R2NHEND3SBQ · pith_short_8: JZZE3R2N

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/JZZE3R2NHEND3SBQCXPTVJ4BJW \
  | 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: 4e724dc74d391a3dc83015df3aa7814d8b93f7ca1a614438682880cfd626ba2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b683e7b1f89f8f44375da1b96012508fcd9706f550e3ed9ce0904a25df21b9de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-10T16:35:35Z",
    "title_canon_sha256": "b89282ca1f4a63efa708945c1316484490624a0511cb71a0cbf2ea0e3de20f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2336",
    "kind": "arxiv",
    "version": 1
  }
}