Pith Number

pith:4PSV3TUH

pith:2001:4PSV3TUHKNCOFZAB2KF32JMPBJ

not attested not anchored not stored refs pending

The eternal fractal in the universe

Serge Winitzki

arxiv:gr-qc/0111048 v2 · 2001-11-15 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PSV3TUHKNCOFZAB2KF32JMPBJ}

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	2026-05-18T01:06:47.788161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e55dce875344e2e401d28bbd258f0a5c3b2639ba11e862de69d6e74a017f77

Aliases

arxiv: gr-qc/0111048 · arxiv_version: gr-qc/0111048v2 · doi: 10.48550/arxiv.gr-qc/0111048 · pith_short_12: 4PSV3TUHKNCO · pith_short_16: 4PSV3TUHKNCOFZAB · pith_short_8: 4PSV3TUH

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/4PSV3TUHKNCOFZAB2KF32JMPBJ \
  | 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: e3e55dce875344e2e401d28bbd258f0a5c3b2639ba11e862de69d6e74a017f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da639eaef2ee8946c53343ca338fa4aeac89d867d0c5e871f54c8e9122d0a2f2",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-11-15T20:50:15Z",
    "title_canon_sha256": "c782c4ea7ffa81950b9196c9211693543e6b564ef728bdb142cc76349284957f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0111048",
    "kind": "arxiv",
    "version": 2
  }
}