Pith Number

pith:Q5ZZI2DM

pith:2004:Q5ZZI2DMEQFDNUGDDVVS22TVVT

not attested not anchored not stored refs pending

Irreducible Complexity in Pure Mathematics

G. J. Chaitin (IBM Research)

arxiv:math/0411091 v1 · 2004-11-04 · 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{Q5ZZI2DMEQFDNUGDDVVS22TVVT}

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	2026-07-04T14:39:19.982228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877394686c240a36d0c31d6b2d6a75ace2ca24cbbbbcd41f6667e652a57c0a21

Aliases

arxiv: math/0411091 · arxiv_version: math/0411091v1 · doi: 10.48550/arxiv.math/0411091 · pith_short_12: Q5ZZI2DMEQFD · pith_short_16: Q5ZZI2DMEQFDNUGD · pith_short_8: Q5ZZI2DM

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/Q5ZZI2DMEQFDNUGDDVVS22TVVT \
  | 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: 877394686c240a36d0c31d6b2d6a75ace2ca24cbbbbcd41f6667e652a57c0a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd64b85c6dd18158ff4d8934246b96bfd35af5cfc535927d4582449d8f45c2f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2004-11-04T14:55:21Z",
    "title_canon_sha256": "823d0ff98f977380fb833b28ae6e7258d1e000962aaf443e3fee27eff624ad5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411091",
    "kind": "arxiv",
    "version": 1
  }
}