Pith Number

pith:5UL3CI4M

pith:2011:5UL3CI4MA7IYDFOU3RKVJE6H5K

not attested not anchored not stored refs pending

Fat fractal percolation and k-fractal percolation

Erik I. Broman, Federico Camia, Matthijs Joosten, Ronald Meester, Tim van de Brug

arxiv:1111.6834 v2 · 2011-11-29 · 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{5UL3CI4MA7IYDFOU3RKVJE6H5K}

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	2026-05-18T03:51:35.631594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed17b1238c07d18195d4dc555493c7eabe79ab498ec1b93694867b631cb02c7c

Aliases

arxiv: 1111.6834 · arxiv_version: 1111.6834v2 · doi: 10.48550/arxiv.1111.6834 · pith_short_12: 5UL3CI4MA7IY · pith_short_16: 5UL3CI4MA7IYDFOU · pith_short_8: 5UL3CI4M

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/5UL3CI4MA7IYDFOU3RKVJE6H5K \
  | 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: ed17b1238c07d18195d4dc555493c7eabe79ab498ec1b93694867b631cb02c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52fe0a3ca17764388cc5160f0856476cd35706a2f295933e80fc91fdf590a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-29T15:06:56Z",
    "title_canon_sha256": "35c7e29f3d1cce70cc841264dd7f875834326c516aa7ec52c6c90369e55b73d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6834",
    "kind": "arxiv",
    "version": 2
  }
}