Pith Number

pith:623WO25N

pith:2004:623WO25NRG2AYTAHAZQNT4AAKP

not attested not anchored not stored refs pending

How real are real numbers?

G. J. Chaitin (IBM Research)

arxiv:math/0411418 v3 · 2004-11-18 · 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{623WO25NRG2AYTAHAZQNT4AAKP}

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	2026-07-04T14:39:23.237766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b7676bad89b40c4c070660d9f00053c8c99fc8f62a184353d8811c1e64db48

Aliases

arxiv: math/0411418 · arxiv_version: math/0411418v3 · doi: 10.48550/arxiv.math/0411418 · pith_short_12: 623WO25NRG2A · pith_short_16: 623WO25NRG2AYTAH · pith_short_8: 623WO25N

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/623WO25NRG2AYTAHAZQNT4AAKP \
  | 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: f6b7676bad89b40c4c070660d9f00053c8c99fc8f62a184353d8811c1e64db48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f509fc96d05edefba929a3567ce966af5df1b13ac121f2c00c98a6a9631d7584",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2004-11-18T22:35:07Z",
    "title_canon_sha256": "16fbe08fa6c2cabcd8f73eb1da7c0a96718479ae2bebe831844cda3ca7876c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411418",
    "kind": "arxiv",
    "version": 3
  }
}