Pith Number

pith:DPOZPMCH

pith:2017:DPOZPMCHJUHBOZ3NLS6VT6QIUE

not attested not anchored not stored refs pending

Hausdorff dimension, projections, intersections, and Besicovitch sets

Pertti Mattila

arxiv:1712.09199 v2 · 2017-12-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPOZPMCHJUHBOZ3NLS6VT6QIUE}

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	2026-05-18T00:26:53.365294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdd97b0474d0e17676d5cbd59fa08a1092c870f8161a9da0cb17db07bb45a75

Aliases

arxiv: 1712.09199 · arxiv_version: 1712.09199v2 · doi: 10.48550/arxiv.1712.09199 · pith_short_12: DPOZPMCHJUHB · pith_short_16: DPOZPMCHJUHBOZ3N · pith_short_8: DPOZPMCH

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/DPOZPMCHJUHBOZ3NLS6VT6QIUE \
  | 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: 1bdd97b0474d0e17676d5cbd59fa08a1092c870f8161a9da0cb17db07bb45a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e86c519e8b94c63ed7a4ff7134b1cb74daecbd6b53e83ac1f5b77928854c255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-26T07:36:12Z",
    "title_canon_sha256": "d320a9b238a3c6d9d000b2e5b8c48339e2cd48686205cfb2c9af52a72f5b7d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09199",
    "kind": "arxiv",
    "version": 2
  }
}