Pith Number

pith:IU2WDWB5

pith:2010:IU2WDWB57NMRWCYPJWSWQ6YAIG

not attested not anchored not stored refs pending

Hausdorff and packing dimensions of the images of random fields

Narn-Rueih Shieh, Yimin Xiao

arxiv:1011.5043 v1 · 2010-11-23 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU2WDWB57NMRWCYPJWSWQ6YAIG}

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	2026-05-18T04:34:54.861432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

453561d83dfb591b0b0f4da5687b0041852934ea0e9e4da4fb06fcf4f667ae1d

Aliases

arxiv: 1011.5043 · arxiv_version: 1011.5043v1 · doi: 10.48550/arxiv.1011.5043 · pith_short_12: IU2WDWB57NMR · pith_short_16: IU2WDWB57NMRWCYP · pith_short_8: IU2WDWB5

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/IU2WDWB57NMRWCYPJWSWQ6YAIG \
  | 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: 453561d83dfb591b0b0f4da5687b0041852934ea0e9e4da4fb06fcf4f667ae1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48bfea6ab9a375b4642d901f7d52ed8a78c236550c69b16b7c06fc1337752522",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-11-23T09:45:17Z",
    "title_canon_sha256": "4bb525deffd3a1182021ac2781da68834fb39283388c74131334c85c2a917c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5043",
    "kind": "arxiv",
    "version": 1
  }
}