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Pith Number

pith:LCRUXQA4

pith:2010:LCRUXQA4WU5HC2WRXZ7NZHHNP5
not attested not anchored not stored refs pending

Tightness for the interface of the one-dimensional contact process

Daniel Valesin, Enrique Andjel, Leandro P.R. Pimentel, Thomas Mountford

arxiv:1004.1951 v2 · 2010-04-12 · math.PR · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LCRUXQA4WU5HC2WRXZ7NZHHNP5}

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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.
Receipt and verification
First computed 2026-05-18T04:34:55.288777Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

58a34bc01cb53a716ad1be7edc9ced7f76717c668105cc551c341d2bc95279be

Aliases

arxiv: 1004.1951 · arxiv_version: 1004.1951v2 · doi: 10.48550/arxiv.1004.1951 · pith_short_12: LCRUXQA4WU5H · pith_short_16: LCRUXQA4WU5HC2WR · pith_short_8: LCRUXQA4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LCRUXQA4WU5HC2WRXZ7NZHHNP5 \
  | 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: 58a34bc01cb53a716ad1be7edc9ced7f76717c668105cc551c341d2bc95279be
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "036544243d722cab72429c50998fda08848b915eab01beb5e9582f1431bb05fc",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-12T13:29:11Z",
    "title_canon_sha256": "3615ea43f1002dfe3156a021f90f328be29bcdbc618ad07eb1c2ae9d91e3f755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1951",
    "kind": "arxiv",
    "version": 2
  }
}