Pith Number

pith:WA56BUNV

pith:2015:WA56BUNVL4TYNJEYTXF3EZLV5Y

not attested not anchored not stored refs pending

Random sparse sampling in a Gibbs weighted tree

Julien Barral, St\'ephane Seuret

arxiv:1512.04368 v1 · 2015-12-14 · math-ph · math.DS · math.MG · math.MP · 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{WA56BUNVL4TYNJEYTXF3EZLV5Y}

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	2026-05-18T01:24:22.375521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03be0d1b55f2786a4989dcbb26575ee2e082a4f88d666bc3cd9f775b7d1db9a

Aliases

arxiv: 1512.04368 · arxiv_version: 1512.04368v1 · doi: 10.48550/arxiv.1512.04368 · pith_short_12: WA56BUNVL4TY · pith_short_16: WA56BUNVL4TYNJEY · pith_short_8: WA56BUNV

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/WA56BUNVL4TYNJEYTXF3EZLV5Y \
  | 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: b03be0d1b55f2786a4989dcbb26575ee2e082a4f88d666bc3cd9f775b7d1db9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e78ef4630a7d6da3080a7592a7edbfc61b36c3ffe49de7386b17e051b4ed51e",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-14T15:45:15Z",
    "title_canon_sha256": "0059073a9b22c92e23d08326b37cea50754697a6dbd5fa4a2fa7138ef60ea802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04368",
    "kind": "arxiv",
    "version": 1
  }
}