Pith Number

pith:MYZ2LAPF

pith:2011:MYZ2LAPFCTSJEISC7WZF5RBTCW

not attested not anchored not stored refs pending

A representation of exchangeable hierarchies by sampling from real trees

Chris Haulk, Jim Pitman, Noah Forman

arxiv:1101.5619 v4 · 2011-01-28 · 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{MYZ2LAPFCTSJEISC7WZF5RBTCW}

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	2026-05-18T00:35:18.933551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6633a581e514e4922242fdb25ec43315a714cd27cc5065e4a792a24a290a33ae

Aliases

arxiv: 1101.5619 · arxiv_version: 1101.5619v4 · doi: 10.48550/arxiv.1101.5619 · pith_short_12: MYZ2LAPFCTSJ · pith_short_16: MYZ2LAPFCTSJEISC · pith_short_8: MYZ2LAPF

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/MYZ2LAPFCTSJEISC7WZF5RBTCW \
  | 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: 6633a581e514e4922242fdb25ec43315a714cd27cc5065e4a792a24a290a33ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de8bcce107796f4d837b2b7605e1a1e0334099f4833e1a4666c7a1388bc0b42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-28T20:45:07Z",
    "title_canon_sha256": "da42e98535dee3c5a4b968053ced64100afba6f1c263a2f67a2d0122410d1dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5619",
    "kind": "arxiv",
    "version": 4
  }
}