Pith Number

pith:U3ZTV3AI

pith:2015:U3ZTV3AIHCEQ42NUQACOATL7EF

not attested not anchored not stored refs pending

Simple set cardinality estimation through random sampling

Enoch Peserico, Luca Pretto, Marco Bressan

arxiv:1512.07901 v3 · 2015-12-24 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3ZTV3AIHCEQ42NUQACOATL7EF}

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	2026-05-18T00:18:41.799727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f33aec0838890e69b48004e04d7f215a7bc934b85d93e3816b09ebda89ad4d

Aliases

arxiv: 1512.07901 · arxiv_version: 1512.07901v3 · doi: 10.48550/arxiv.1512.07901 · pith_short_12: U3ZTV3AIHCEQ · pith_short_16: U3ZTV3AIHCEQ42NU · pith_short_8: U3ZTV3AI

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/U3ZTV3AIHCEQ42NUQACOATL7EF \
  | 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: a6f33aec0838890e69b48004e04d7f215a7bc934b85d93e3816b09ebda89ad4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029c7f0646138d20044db383d70adf1b8f52bb879de6d799681ac7396ffbee69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-24T20:42:10Z",
    "title_canon_sha256": "e60c07cd5141e74fda42b02cd86af1555053cb7d022235cd2b65f1a6a16731f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07901",
    "kind": "arxiv",
    "version": 3
  }
}