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Pith Number

pith:CH4OGVJU

pith:2009:CH4OGVJUX6GQLJHMCH3U3ZB3I3
not attested not anchored not stored refs pending

Critical percolation in the plane

Stanislav Smirnov

arxiv:0909.4499 v1 · 2009-09-24 · math.PR · math-ph · math.CV · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CH4OGVJUX6GQLJHMCH3U3ZB3I3}

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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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-04T15:51:46.250015Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

11f8e35534bf8d05a4ec11f74de43b46fa619a615ee2fca3116563accadd5f04

Aliases

arxiv: 0909.4499 · arxiv_version: 0909.4499v1 · doi: 10.48550/arxiv.0909.4499 · pith_short_12: CH4OGVJUX6GQ · pith_short_16: CH4OGVJUX6GQLJHM · pith_short_8: CH4OGVJU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CH4OGVJUX6GQLJHMCH3U3ZB3I3 \
  | 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: 11f8e35534bf8d05a4ec11f74de43b46fa619a615ee2fca3116563accadd5f04
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7f629bcb6809ed347ff94492f8efe8ce611d5c431e435361954a4c154032a471",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-24T17:01:32Z",
    "title_canon_sha256": "412ed3e53c239a683be085ba748bba48ecb80583ea75c88f9e63290522233b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4499",
    "kind": "arxiv",
    "version": 1
  }
}