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Pith Number

pith:W35W2VSM

pith:2012:W35W2VSMTOTGBASHF6NP6WR3MX
not attested not anchored not stored refs pending

Oriented percolation in a random environment

Harry Kesten, Maria Eulalia Vares, Vladas Sidoravicius

arxiv:1207.3168 v1 · 2012-07-13 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W35W2VSMTOTGBASHF6NP6WR3MX}

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 2026-05-18T03:51:12.323960Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6fb6d564c9ba66082472f9aff5a3b65ec1f1a649c228eccfb9ed207dac1131e

Aliases

arxiv: 1207.3168 · arxiv_version: 1207.3168v1 · doi: 10.48550/arxiv.1207.3168 · pith_short_12: W35W2VSMTOTG · pith_short_16: W35W2VSMTOTGBASH · pith_short_8: W35W2VSM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W35W2VSMTOTGBASHF6NP6WR3MX \
  | 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: b6fb6d564c9ba66082472f9aff5a3b65ec1f1a649c228eccfb9ed207dac1131e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c466fc35f8c67f28bca54e4579cac7b34b46d125c0b13f2f692d064d2cd12067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-13T08:41:51Z",
    "title_canon_sha256": "4f7e35e4ee50453e981c4b8ea6f0db06ff1705715164d7d7180cc7b8137a3055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3168",
    "kind": "arxiv",
    "version": 1
  }
}