Pith Number

pith:VGQF4UYS

pith:2014:VGQF4UYSNFY4LBOTEWJS64WCO7

not attested not anchored not stored refs pending

Dimension conservation for self-similar sets and fractal percolation

Kenneth Falconer, Xiong Jin

arxiv:1409.1882 v2 · 2014-09-05 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGQF4UYSNFY4LBOTEWJS64WCO7}

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	2026-05-18T02:42:05.681945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a05e53126971c585d325932f72c277d3dbd8463a5249f86aa40c8a8e2924ec

Aliases

arxiv: 1409.1882 · arxiv_version: 1409.1882v2 · doi: 10.48550/arxiv.1409.1882 · pith_short_12: VGQF4UYSNFY4 · pith_short_16: VGQF4UYSNFY4LBOT · pith_short_8: VGQF4UYS

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/VGQF4UYSNFY4LBOTEWJS64WCO7 \
  | 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: a9a05e53126971c585d325932f72c277d3dbd8463a5249f86aa40c8a8e2924ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4538ee9bcb4d48b49a7a72137b75a2931b2d2822a7759b5bb8b5ebd31355d4e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-05T17:34:04Z",
    "title_canon_sha256": "d782e6b1cb899478554b437c5e46afe8f391244f18ed7d91e75b883f2e1a201a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1882",
    "kind": "arxiv",
    "version": 2
  }
}