Pith Number

pith:K6SWHHJ4

pith:2013:K6SWHHJ4GJNYAXMISSH6B6BKDY

not attested not anchored not stored refs pending

Mean Width of Random Perturbations of Random Polytopes

David Alonso-Gutierrez, Joscha Prochno

arxiv:1303.5677 v1 · 2013-03-22 · 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{K6SWHHJ4GJNYAXMISSH6B6BKDY}

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	2026-05-18T03:30:03.524933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57a5639d3c325b805d88948fe0f82a1e1242ce59bce96cbddbb918bfe30a1b72

Aliases

arxiv: 1303.5677 · arxiv_version: 1303.5677v1 · doi: 10.48550/arxiv.1303.5677 · pith_short_12: K6SWHHJ4GJNY · pith_short_16: K6SWHHJ4GJNYAXMI · pith_short_8: K6SWHHJ4

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/K6SWHHJ4GJNYAXMISSH6B6BKDY \
  | 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: 57a5639d3c325b805d88948fe0f82a1e1242ce59bce96cbddbb918bfe30a1b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b307d2e4824ea4f3f3b75d2e17464a76e34434c20f4364eabe9186ab015dca77",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-22T18:15:16Z",
    "title_canon_sha256": "961ebd18e43a378dcc8213a76d9b84f266d3e1f2b0b04b6639715fc71458b530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5677",
    "kind": "arxiv",
    "version": 1
  }
}