Pith Number

pith:I56YKFP6

pith:2003:I56YKFP6ERF5KNXXKANEOIDPHE

not attested not anchored not stored refs pending

Thoughts on the Riemann hypothesis

G. J. Chaitin (IBM Research)

arxiv:math/0306042 v4 · 2003-06-02 · 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{I56YKFP6ERF5KNXXKANEOIDPHE}

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	2026-07-04T14:37:21.625940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477d8515fe244bd536f7501a47206f393b122d061588c1eb18aa2ccd46f90b84

Aliases

arxiv: math/0306042 · arxiv_version: math/0306042v4 · doi: 10.48550/arxiv.math/0306042 · pith_short_12: I56YKFP6ERF5 · pith_short_16: I56YKFP6ERF5KNXX · pith_short_8: I56YKFP6

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/I56YKFP6ERF5KNXXKANEOIDPHE \
  | 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: 477d8515fe244bd536f7501a47206f393b122d061588c1eb18aa2ccd46f90b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d2dcd250a0d3a4cd4973b5fd89fef2502069132f4d86130c3ca9c5297d8adc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2003-06-02T17:40:29Z",
    "title_canon_sha256": "b1cecd5d50c02dfa3ccb01f5f776360c71eb6dbd61a995a64267d5e9dc90a837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306042",
    "kind": "arxiv",
    "version": 4
  }
}