Pith Number

pith:4S4MCBMG

pith:1999:4S4MCBMGY4EAKCP7S7X7EUPHD5

not attested not anchored not stored refs pending

A Century of Controversy over the Foundations of Mathematics

G. J. Chaitin (IBM Research)

arxiv:chao-dyn/9909001 v1 · 1999-08-27 · chao-dyn · math.HO · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S4MCBMGY4EAKCP7S7X7EUPHD5}

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	2026-07-04T14:17:32.127772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b8c10586c7080509ff97eff251e71f7bc8ddca957af44509fa6e665c0d6e89

Aliases

arxiv: chao-dyn/9909001 · arxiv_version: chao-dyn/9909001v1 · doi: 10.48550/arxiv.chao-dyn/9909001 · pith_short_12: 4S4MCBMGY4EA · pith_short_16: 4S4MCBMGY4EAKCP7 · pith_short_8: 4S4MCBMG

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/4S4MCBMGY4EAKCP7S7X7EUPHD5 \
  | 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: e4b8c10586c7080509ff97eff251e71f7bc8ddca957af44509fa6e665c0d6e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aee2a5049b65a31a41f8d69962f6680550f7f7df801dbf29b0278df0141333a",
    "cross_cats_sorted": [
      "math.HO",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-08-27T13:47:38Z",
    "title_canon_sha256": "5682d4ce5d05f49521b2d35245b7623239f83f6f5252d3aca80728682277e199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9909001",
    "kind": "arxiv",
    "version": 1
  }
}