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Pith Number

pith:6O7ODKR7

pith:2016:6O7ODKR7C6WVE7LP3A5ISQQMJY
not attested not anchored not stored refs pending

Metrics Based on Finite Directed Graphs and Coding Invariants

Marcelo Firer, Roberto Assis Machado, Tuvi Etzion

arxiv:1609.08067 v3 · 2016-09-26 · cs.IT · cs.DM · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6O7ODKR7C6WVE7LP3A5ISQQMJY}

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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 2026-05-18T00:45:20.027781Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f3bee1aa3f17ad527d6fd83a89420c4e03a1de5a3c53c8345d86ad08bb6c9a42

Aliases

arxiv: 1609.08067 · arxiv_version: 1609.08067v3 · doi: 10.48550/arxiv.1609.08067 · pith_short_12: 6O7ODKR7C6WV · pith_short_16: 6O7ODKR7C6WVE7LP · pith_short_8: 6O7ODKR7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6O7ODKR7C6WVE7LP3A5ISQQMJY \
  | 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: f3bee1aa3f17ad527d6fd83a89420c4e03a1de5a3c53c8345d86ad08bb6c9a42
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0f5ad2f19168bb4536a3a160c56fae75ea7d07e2471a868aeb3241d5f0637fcd",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-26T16:48:26Z",
    "title_canon_sha256": "85897ba16794af3a6b735d4f2bc564ccab0f41282a69afb5192b178d8c4716b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08067",
    "kind": "arxiv",
    "version": 3
  }
}