Pith Number

pith:MZNOCHZE

pith:2016:MZNOCHZEHWUDF63GP7RJI2GTHU

not attested not anchored not stored refs pending

Why Square Roots of Probabilities?

Kevin H. Knuth

arxiv:1603.08427 v1 · 2016-02-12 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZNOCHZEHWUDF63GP7RJI2GTHU}

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	2026-05-18T01:18:10.769972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665ae11f243da832fb667fe29468d33d036e24a197ce374a087df7d27d9fb461

Aliases

arxiv: 1603.08427 · arxiv_version: 1603.08427v1 · doi: 10.48550/arxiv.1603.08427 · pith_short_12: MZNOCHZEHWUD · pith_short_16: MZNOCHZEHWUDF63G · pith_short_8: MZNOCHZE

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/MZNOCHZEHWUDF63GP7RJI2GTHU \
  | 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: 665ae11f243da832fb667fe29468d33d036e24a197ce374a087df7d27d9fb461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5775214803b1b2b02becde673ae0db284bb528fd58c3a9ff0287810012ed029e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-02-12T19:27:31Z",
    "title_canon_sha256": "877bed6f1105f5e00725aa36d64bc357e00c34db0226983236931fecbf6408b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08427",
    "kind": "arxiv",
    "version": 1
  }
}