Pith Number

pith:PE5JMCP6

pith:2012:PE5JMCP6X5FRRZO7NLHL77X5BF

not attested not anchored not stored refs pending

Generalized dimensions of images of measures under Gaussian processes

Kenneth Falconer, Yimin Xiao

arxiv:1212.2383 v2 · 2012-12-11 · 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{PE5JMCP6X5FRRZO7NLHL77X5BF}

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	2026-05-18T03:06:32.825268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793a9609febf4b18e5df6acebffefd095c9281e7f1fb2c1ad14975a98a799cf5

Aliases

arxiv: 1212.2383 · arxiv_version: 1212.2383v2 · doi: 10.48550/arxiv.1212.2383 · pith_short_12: PE5JMCP6X5FR · pith_short_16: PE5JMCP6X5FRRZO7 · pith_short_8: PE5JMCP6

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/PE5JMCP6X5FRRZO7NLHL77X5BF \
  | 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: 793a9609febf4b18e5df6acebffefd095c9281e7f1fb2c1ad14975a98a799cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c86112c2c4396387877509beb0d7b451861b3630ef54d7dd073d1a35a5128c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-11T11:00:06Z",
    "title_canon_sha256": "16a3346e0dc70ced395a55fb5789c1aebb67c7513ab0b1187874967781b7a5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2383",
    "kind": "arxiv",
    "version": 2
  }
}