Pith Number

pith:6D7DCUTF

pith:2026:6D7DCUTFDH3LEDPFQ7BR37VE6Z

not attested not anchored not stored refs pending

HyperLogLog for probabilists

Lucas Gerin (MODAL'X)

arxiv:2607.22063 v1 · 2026-07-24 · cs.DS · 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{6D7DCUTFDH3LEDPFQ7BR37VE6Z}

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	2026-07-27T01:20:46.039301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fe31526519f6b20de587c31dfea4f663227f3709006594ba9c3d8af9703cc0

Aliases

arxiv: 2607.22063 · arxiv_version: 2607.22063v1 · doi: 10.48550/arxiv.2607.22063 · pith_short_12: 6D7DCUTFDH3L · pith_short_16: 6D7DCUTFDH3LEDPF · pith_short_8: 6D7DCUTF

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/6D7DCUTFDH3LEDPFQ7BR37VE6Z \
  | 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: f0fe31526519f6b20de587c31dfea4f663227f3709006594ba9c3d8af9703cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fb7838b9276ed84dfd795b48e01f1f09c1c7541ca2166e6754a148530e2260",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-24T07:58:29Z",
    "title_canon_sha256": "1a702a36b0e8f5f6ff34b38636dfdc5c9e2dfb29b576f050b8035a1c665a0c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22063",
    "kind": "arxiv",
    "version": 1
  }
}