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Pith Number

pith:LOW2FSPM

pith:2013:LOW2FSPMHTLZYUXCUM3KTPMHR6
not attested not anchored not stored refs pending

Tricolor percolation and random paths in 3D

Ariel Yadin, Scott Sheffield

arxiv:1309.7490 v2 · 2013-09-28 · math.PR · cond-mat.stat-mech · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LOW2FSPMHTLZYUXCUM3KTPMHR6}

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 2026-05-18T03:03:20.559940Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5bada2c9ec3cd79c52e2a336a9bd878f98d316292c2b4d387df050b89422f6aa

Aliases

arxiv: 1309.7490 · arxiv_version: 1309.7490v2 · doi: 10.48550/arxiv.1309.7490 · pith_short_12: LOW2FSPMHTLZ · pith_short_16: LOW2FSPMHTLZYUXC · pith_short_8: LOW2FSPM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LOW2FSPMHTLZYUXCUM3KTPMHR6 \
  | 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: 5bada2c9ec3cd79c52e2a336a9bd878f98d316292c2b4d387df050b89422f6aa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd2cd173930c57e557f917a9d8492284f8edc0780a6d4d515b0c68ea837d5d28",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-28T18:55:23Z",
    "title_canon_sha256": "0d39038aab5bb60a20d86d39a1ef7f7600217dd210e1e7e734baf015838daeb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7490",
    "kind": "arxiv",
    "version": 2
  }
}