Pith Number

pith:7KGKPQBN

pith:2012:7KGKPQBNY6NQBCH3TVWR6AVKQ4

not attested not anchored not stored refs pending

Exact dimensionality and projections of random self-similar measures and sets

Kenneth Falconer, Xiong Jin

arxiv:1212.1345 v4 · 2012-12-06 · math.DS · 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{7KGKPQBNY6NQBCH3TVWR6AVKQ4}

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	2026-05-18T00:44:30.162279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8ca7c02dc79b0088fb9d6d1f02aa872b51e580428237741ac04758a441e069

Aliases

arxiv: 1212.1345 · arxiv_version: 1212.1345v4 · doi: 10.48550/arxiv.1212.1345 · pith_short_12: 7KGKPQBNY6NQ · pith_short_16: 7KGKPQBNY6NQBCH3 · pith_short_8: 7KGKPQBN

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/7KGKPQBNY6NQBCH3TVWR6AVKQ4 \
  | 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: fa8ca7c02dc79b0088fb9d6d1f02aa872b51e580428237741ac04758a441e069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a50ef686bfd1656e3b1db64cea15577598caa1b072c29c9e745b168a67fc05d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-06T15:14:31Z",
    "title_canon_sha256": "93367ae74d09520b95cd760b0ec0d26f502cfaf57359a6fd8cf4b8a89d7dca67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1345",
    "kind": "arxiv",
    "version": 4
  }
}