Pith Number

pith:C2ORYGZ7

pith:2010:C2ORYGZ7TLNN7ZZL657AMGNDGH

not attested not anchored not stored refs pending

Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation

Feng Wang, Xian-Yuan Wu, Yong-Hua Mao

arxiv:1011.4183 v2 · 2010-11-18 · 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{C2ORYGZ7TLNN7ZZL657AMGNDGH}

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	2026-05-18T04:34:36.625430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169d1c1b3f9adadfe72bf77e0619a331e6757cbee89de91fe894d2af737db475

Aliases

arxiv: 1011.4183 · arxiv_version: 1011.4183v2 · doi: 10.48550/arxiv.1011.4183 · pith_short_12: C2ORYGZ7TLNN · pith_short_16: C2ORYGZ7TLNN7ZZL · pith_short_8: C2ORYGZ7

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/C2ORYGZ7TLNN7ZZL657AMGNDGH \
  | 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: 169d1c1b3f9adadfe72bf77e0619a331e6757cbee89de91fe894d2af737db475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5e0aba2e5e13e17caeabbd618822810287921ee3789064c6f872493f698197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-18T12:59:56Z",
    "title_canon_sha256": "1276eaf2d659a740fddeb40ef17d2f4d34bfc1303862ad2a3b1a4ab75c4c14d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4183",
    "kind": "arxiv",
    "version": 2
  }
}