Pith Number

pith:GTV3YYWB

pith:2011:GTV3YYWBWKACZ2AVOQJ6V5PCD4

not attested not anchored not stored refs pending

A new fractal dimension: The topological Hausdorff dimension

M\'arton Elekes, Rich\'ard Balka, Zolt\'an Buczolich

arxiv:1108.4292 v3 · 2011-08-22 · math.CA · math.GN · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTV3YYWBWKACZ2AVOQJ6V5PCD4}

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	2026-05-18T02:18:31.864336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ebbc62c1b2802ce8157413eaf5e21f2f3f268a6ef0e13f688bc2d9673364fb

Aliases

arxiv: 1108.4292 · arxiv_version: 1108.4292v3 · doi: 10.48550/arxiv.1108.4292 · pith_short_12: GTV3YYWBWKAC · pith_short_16: GTV3YYWBWKACZ2AV · pith_short_8: GTV3YYWB

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/GTV3YYWBWKACZ2AVOQJ6V5PCD4 \
  | 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: 34ebbc62c1b2802ce8157413eaf5e21f2f3f268a6ef0e13f688bc2d9673364fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6e1c3dd478cb04fcf848ebee8dd4fb8efd3ea5b0924219d857f17dae60574d",
    "cross_cats_sorted": [
      "math.GN",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-22T12:41:45Z",
    "title_canon_sha256": "b5931bb148d456293395dec539880e38f661ac6c719cebac08ca5ea071bc64eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4292",
    "kind": "arxiv",
    "version": 3
  }
}