Pith Number

pith:PO6EZICZ

pith:2011:PO6EZICZ732ZXBGUZMJJYAHQPW

not attested not anchored not stored refs pending

Distinct counting with a self-learning bitmap

Aiyou Chen, Jin Cao, Larry Shepp, Tuan Nguyen

arxiv:1107.1697 v1 · 2011-07-08 · stat.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PO6EZICZ732ZXBGUZMJJYAHQPW}

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	2026-05-18T02:21:43.166396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bbc4ca059fef59b84d4cb129c00f07db86e385d8109f35e273afa357c4ae858

Aliases

arxiv: 1107.1697 · arxiv_version: 1107.1697v1 · doi: 10.48550/arxiv.1107.1697 · pith_short_12: PO6EZICZ732Z · pith_short_16: PO6EZICZ732ZXBGU · pith_short_8: PO6EZICZ

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/PO6EZICZ732ZXBGUZMJJYAHQPW \
  | 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: 7bbc4ca059fef59b84d4cb129c00f07db86e385d8109f35e273afa357c4ae858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5253c2f2348d28de06fe8274238ffe7d97d82243a02b2979ea9d4e1b49c147d6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2011-07-08T18:50:16Z",
    "title_canon_sha256": "c77a5737abf60a267296eeebc28eb9df9cb8021d6d1506c4d870027ce49f1525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1697",
    "kind": "arxiv",
    "version": 1
  }
}