Pith Number

pith:BUIZUN7S

pith:2012:BUIZUN7S6FUNIB5RMOU7YRAWP7

not attested not anchored not stored refs pending

On the Gaussian behavior of marginals and the mean width of random polytopes

David Alonso-Gutierrez, Joscha Prochno

arxiv:1205.6174 v1 · 2012-05-28 · math.FA · 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{BUIZUN7S6FUNIB5RMOU7YRAWP7}

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	2026-05-18T03:54:48.197520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d119a37f2f168d407b163a9fc44167fd387fa03bb575ab86b938d6766ac175f

Aliases

arxiv: 1205.6174 · arxiv_version: 1205.6174v1 · doi: 10.48550/arxiv.1205.6174 · pith_short_12: BUIZUN7S6FUN · pith_short_16: BUIZUN7S6FUNIB5R · pith_short_8: BUIZUN7S

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/BUIZUN7S6FUNIB5RMOU7YRAWP7 \
  | 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: 0d119a37f2f168d407b163a9fc44167fd387fa03bb575ab86b938d6766ac175f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a783e970d8e280b789aafc9a000221b5eeb16f6a4f92b5949f7412eac845e274",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-28T18:13:14Z",
    "title_canon_sha256": "32636841b35fa225550430fff5f43ca3e9d63f63880663a5b1a2ab6387aa519b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6174",
    "kind": "arxiv",
    "version": 1
  }
}