Pith Number

pith:PEI3GMZH

pith:2004:PEI3GMZHX2CAEK3LJ4TDC3VFOP

not attested not anchored not stored refs pending

Leibniz, Randomness and the Halting Probability

G. J. Chaitin (IBM Research)

arxiv:math/0406055 v1 · 2004-06-03 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEI3GMZHX2CAEK3LJ4TDC3VFOP}

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	2026-07-04T14:38:40.806213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7911b33327be84022b6b4f26316ea573df4db27354fb810b7fadd5ff4c1f424d

Aliases

arxiv: math/0406055 · arxiv_version: math/0406055v1 · doi: 10.48550/arxiv.math/0406055 · pith_short_12: PEI3GMZHX2CA · pith_short_16: PEI3GMZHX2CAEK3L · pith_short_8: PEI3GMZH

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/PEI3GMZHX2CAEK3LJ4TDC3VFOP \
  | 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: 7911b33327be84022b6b4f26316ea573df4db27354fb810b7fadd5ff4c1f424d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1f987df01606ff12566d8559aba4512ca8a40d800847c1c1728c40379b68fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2004-06-03T09:25:45Z",
    "title_canon_sha256": "3c1a4de3dd2988ae2985358c536a207a6ec8df8bbe092b9b200ee5ca8c708cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406055",
    "kind": "arxiv",
    "version": 1
  }
}