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Pith Number

pith:CZ6NLAF5

pith:2012:CZ6NLAF5VX7JFIDSJZ6QIYYC5Q
not attested not anchored not stored refs pending

Local paths to global coherence: cutting networks down to size

Eric Shea-Brown, James Trousdale, Kre\v{s}imir Josi\'c, Yu Hu

arxiv:1212.4239 v3 · 2012-12-18 · q-bio.NC · math-ph · math.DS · math.MP · math.ST · q-bio.QM · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CZ6NLAF5VX7JFIDSJZ6QIYYC5Q}

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 2026-05-18T03:04:59.646242Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

167cd580bdadfe92a0724e7d046302ec3bca5720c157fe8a6540b09cff44f189

Aliases

arxiv: 1212.4239 · arxiv_version: 1212.4239v3 · doi: 10.48550/arxiv.1212.4239 · pith_short_12: CZ6NLAF5VX7J · pith_short_16: CZ6NLAF5VX7JFIDS · pith_short_8: CZ6NLAF5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZ6NLAF5VX7JFIDSJZ6QIYYC5Q \
  | 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: 167cd580bdadfe92a0724e7d046302ec3bca5720c157fe8a6540b09cff44f189
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c8839f36bfa137ee677e842a503f058667023233864b87db484e25e7622c973",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.ST",
      "q-bio.QM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2012-12-18T06:36:34Z",
    "title_canon_sha256": "a75909b93680df058cfde151c0d978451cda36ea8250330dd5bca801ef6d57db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4239",
    "kind": "arxiv",
    "version": 3
  }
}