Pith Number

pith:I6XE224P

pith:2026:I6XE224PI6YWNWJNH344U4ZNII

not attested not anchored not stored refs pending

Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits

Alessandro Razeto, Nicola Rossi

arxiv:2608.06438 v1 · 2026-08-06 · 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{I6XE224PI6YWNWJNH344U4ZNII}

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	2026-08-10T01:10:40.685420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ae4d6b8f47b166d92d3ef9ca732d42314005520e21f5fb7082614439b0d8ef

Aliases

arxiv: 2608.06438 · arxiv_version: 2608.06438v1 · doi: 10.48550/arxiv.2608.06438 · pith_short_12: I6XE224PI6YW · pith_short_16: I6XE224PI6YWNWJN · pith_short_8: I6XE224P

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/I6XE224PI6YWNWJNH344U4ZNII \
  | 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: 47ae4d6b8f47b166d92d3ef9ca732d42314005520e21f5fb7082614439b0d8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc5303f29a8fb963cb92586b438203fe2594fe42f06dc85a57bcbbb4dca9a10",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-08-06T09:15:16Z",
    "title_canon_sha256": "0d1300e5d4bc8408fc81888d8ee1a7083516f59cd37953e0617a3b7b181f7c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06438",
    "kind": "arxiv",
    "version": 1
  }
}