Pith Number

pith:KGRWTV3Z

pith:2011:KGRWTV3ZBI4JELHY5YQGEVNGBZ

not attested not anchored not stored refs pending

Hausdorff measure of escaping and Julia sets for bounded type functions of finite order

J\"orn Peter

arxiv:1102.4933 v1 · 2011-02-24 · 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{KGRWTV3ZBI4JELHY5YQGEVNGBZ}

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	2026-05-18T04:27:58.440185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a369d7790a38922cf8ee206255a60e6f6ad969dbe90d694517bee5cbc70bbf

Aliases

arxiv: 1102.4933 · arxiv_version: 1102.4933v1 · doi: 10.48550/arxiv.1102.4933 · pith_short_12: KGRWTV3ZBI4J · pith_short_16: KGRWTV3ZBI4JELHY · pith_short_8: KGRWTV3Z

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/KGRWTV3ZBI4JELHY5YQGEVNGBZ \
  | 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: 51a369d7790a38922cf8ee206255a60e6f6ad969dbe90d694517bee5cbc70bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feea9717e63d0c2676015c79a731d491c708f4e74ce69edfc4513a6aa6643499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-24T09:08:20Z",
    "title_canon_sha256": "692159583842944ddbe2ce1a6a11aa6433d7ca4d33d8cf32238029d8aeb676fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4933",
    "kind": "arxiv",
    "version": 1
  }
}