Pith Number

pith:ZRIUQZLA

pith:2010:ZRIUQZLAQUDC7AIDVQF3AJFNOW

not attested not anchored not stored refs pending

Homeomorphisms between limbs of the Mandelbrot set

Dierk Schleicher, Dzmitry Dudko

arxiv:1008.5355 v1 · 2010-08-31 · 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{ZRIUQZLAQUDC7AIDVQF3AJFNOW}

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	2026-05-18T04:41:36.118977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5148656085062f8103ac0bb024ad758aa79e62ce5fc6ec80506a62f4599f70

Aliases

arxiv: 1008.5355 · arxiv_version: 1008.5355v1 · doi: 10.48550/arxiv.1008.5355 · pith_short_12: ZRIUQZLAQUDC · pith_short_16: ZRIUQZLAQUDC7AID · pith_short_8: ZRIUQZLA

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/ZRIUQZLAQUDC7AIDVQF3AJFNOW \
  | 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: cc5148656085062f8103ac0bb024ad758aa79e62ce5fc6ec80506a62f4599f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9d682ee460705536bc3019a645bd95a80e35c47f27b4ab1cff6abdf10ec50a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-31T16:27:41Z",
    "title_canon_sha256": "8ac6eb666c89b2e29bae0051bffe919acf54582f281ca0d0d1c700ec11c2c308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5355",
    "kind": "arxiv",
    "version": 1
  }
}