Pith Number

pith:64GK3VND

pith:2015:64GK3VNDGY5G422L2HNMY3CE5I

not attested not anchored not stored refs pending

Microclustering: When the Cluster Sizes Grow Sublinearly with the Size of the Data Set

Abbas Zaidi, Brenda Betancourt, Hanna Wallach, Jeffrey Miller, Rebecca C. Steorts

arxiv:1512.00792 v1 · 2015-12-02 · stat.ME · stat.AP · stat.CO · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64GK3VNDGY5G422L2HNMY3CE5I}

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	2026-05-18T01:25:25.055043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70cadd5a3363a6e6b4bd1dacc6c44ea301ed8fe3acdc875bf0d12c883ce43e2

Aliases

arxiv: 1512.00792 · arxiv_version: 1512.00792v1 · doi: 10.48550/arxiv.1512.00792 · pith_short_12: 64GK3VNDGY5G · pith_short_16: 64GK3VNDGY5G422L · pith_short_8: 64GK3VND

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/64GK3VNDGY5G422L2HNMY3CE5I \
  | 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: f70cadd5a3363a6e6b4bd1dacc6c44ea301ed8fe3acdc875bf0d12c883ce43e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80320e952800414f5531c55a2c66355a13733e65dcda14ad0e51f99c3dd4e206",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-12-02T18:08:48Z",
    "title_canon_sha256": "8d94aefb7cbbd95f84a51ee5ee62c57e8ceb99a2ab07682e7997176441266b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00792",
    "kind": "arxiv",
    "version": 1
  }
}