Pith Number

pith:HXHWH45V

pith:2017:HXHWH45VFMJI5M6RO2FSCV5EME

not attested not anchored not stored refs pending

Ordered and size-biased frequencies in GEM and Gibbs models for species sampling

Jim Pitman, Yuri Yakubovich

arxiv:1704.04732 v2 · 2017-04-16 · 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{HXHWH45VFMJI5M6RO2FSCV5EME}

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	2026-05-18T00:36:38.659515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dcf63f3b52b128eb3d1768b2157a4613d9b7cf5d02e8a90559caa464e1061c9

Aliases

arxiv: 1704.04732 · arxiv_version: 1704.04732v2 · doi: 10.48550/arxiv.1704.04732 · pith_short_12: HXHWH45VFMJI · pith_short_16: HXHWH45VFMJI5M6R · pith_short_8: HXHWH45V

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/HXHWH45VFMJI5M6RO2FSCV5EME \
  | 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: 3dcf63f3b52b128eb3d1768b2157a4613d9b7cf5d02e8a90559caa464e1061c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb90f838b250ffd26446c64ff1ea70d90815dfa5a0b8245f46f18a7142b67705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-16T07:34:06Z",
    "title_canon_sha256": "28230cc76328c255e68f48832c568fc0d29787c895c70df0469f85562dd66f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04732",
    "kind": "arxiv",
    "version": 2
  }
}