Pith Number

pith:HA2U4Q7X

pith:2015:HA2U4Q7XEORCTFZI6KLU6UJJWC

not attested not anchored not stored refs pending

Projections of Fractal percolation constructed with inhomogeneous probabilities

K\'aroly Simon, Lajos V\'ag\'o

arxiv:1505.05477 v2 · 2015-05-20 · 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{HA2U4Q7XEORCTFZI6KLU6UJJWC}

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	2026-05-18T01:00:53.908764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38354e43f723a2299728f2974f5129b08768636cd042ce255eb2088ac6725ffe

Aliases

arxiv: 1505.05477 · arxiv_version: 1505.05477v2 · doi: 10.48550/arxiv.1505.05477 · pith_short_12: HA2U4Q7XEORC · pith_short_16: HA2U4Q7XEORCTFZI · pith_short_8: HA2U4Q7X

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/HA2U4Q7XEORCTFZI6KLU6UJJWC \
  | 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: 38354e43f723a2299728f2974f5129b08768636cd042ce255eb2088ac6725ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889537b7a7b60307aa7fd401937fda17c214adf15dfecd68355c8f487aa381c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-20T18:14:35Z",
    "title_canon_sha256": "f27c11965c23d15ebbe55c4577117861fee05f2d48d9f3770ee51817b48774fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05477",
    "kind": "arxiv",
    "version": 2
  }
}