Pith Number

pith:HBOBO4SD

pith:2006:HBOBO4SDISCFKF4JXOBSBYDL6D

not attested not anchored not stored refs pending

Uniqueness of the critical probability for percolation in the two dimensional Sierpinski carpet lattice

Xian-Yuan Wu, Yasunari Higuchi

arxiv:math/0610583 v2 · 2006-10-19 · 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{HBOBO4SDISCFKF4JXOBSBYDL6D}

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	2026-05-18T04:38:57.360440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385c1772434484551789bb8320e06bf0f3eb5107b7a9f02f83e5001d0dba110b

Aliases

arxiv: math/0610583 · arxiv_version: math/0610583v2 · doi: 10.48550/arxiv.math/0610583 · pith_short_12: HBOBO4SDISCF · pith_short_16: HBOBO4SDISCFKF4J · pith_short_8: HBOBO4SD

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/HBOBO4SDISCFKF4JXOBSBYDL6D \
  | 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: 385c1772434484551789bb8320e06bf0f3eb5107b7a9f02f83e5001d0dba110b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5efd627ce8148121ff50e76f7cd115751872b37f2839a2742785eb7ee43bd0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-10-19T09:19:25Z",
    "title_canon_sha256": "f97d555abedf7443c4660891969bc172dc92ace8cb0e0c6dec8e1846a371d47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610583",
    "kind": "arxiv",
    "version": 2
  }
}