Pith Number

pith:IN26JJVA

pith:1991:IN26JJVAXZNFFIGAMPM5WCQZBU

not attested not anchored not stored refs pending

The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets

Mitsuhiro Shishikura

arxiv:math/9201282 v1 · 1991-04-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IN26JJVAXZNFFIGAMPM5WCQZBU}

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	2026-05-18T01:05:54.559549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4375e4a6a0be5a52a0c063d9db0a190d181a2bcecede7d16860614db1cd045c8

Aliases

arxiv: math/9201282 · arxiv_version: math/9201282v1 · doi: 10.48550/arxiv.math/9201282 · pith_short_12: IN26JJVAXZNF · pith_short_16: IN26JJVAXZNFFIGA · pith_short_8: IN26JJVA

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/IN26JJVAXZNFFIGAMPM5WCQZBU \
  | 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: 4375e4a6a0be5a52a0c063d9db0a190d181a2bcecede7d16860614db1cd045c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1272077fd6ddf30084fad67990092ccd9d2b68a33554ed8e79423f29afca2d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1991-04-12T00:00:00Z",
    "title_canon_sha256": "93a7d231de17ded5485d07d3a01dd1b1da9566749cc19935b203307ef72cb798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201282",
    "kind": "arxiv",
    "version": 1
  }
}