pith. sign in
Pith Number

pith:QYBGXAFI

pith:2017:QYBGXAFIYRUZDJI2Z2O2DYQ27T
not attested not anchored not stored refs pending

Discrete Dynamic Causal Modeling and Its Relationship with Directed Information

David C. Zhu, Jian Ren, Tongtong Li, Yu Zheng, Zhe Wang

arxiv:1709.06134 v1 · 2017-09-18 · q-bio.NC · cs.IT · math.IT · stat.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QYBGXAFIYRUZDJI2Z2O2DYQ27T}

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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 2026-05-18T00:34:54.321561Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

86026b80a8c46991a51ace9da1e21afcf1dde2d3c5cb6a5b9c1785a22b120f03

Aliases

arxiv: 1709.06134 · arxiv_version: 1709.06134v1 · doi: 10.48550/arxiv.1709.06134 · pith_short_12: QYBGXAFIYRUZ · pith_short_16: QYBGXAFIYRUZDJI2 · pith_short_8: QYBGXAFI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QYBGXAFIYRUZDJI2Z2O2DYQ27T \
  | 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: 86026b80a8c46991a51ace9da1e21afcf1dde2d3c5cb6a5b9c1785a22b120f03
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed86e9813344e68893de285269ac082c2c1980393e6e06d4c1d3b808f6bf6c55",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2017-09-18T19:43:11Z",
    "title_canon_sha256": "f042d4b905ae37895027446427c393c1645aebc603b5650049a971bdaaff092d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06134",
    "kind": "arxiv",
    "version": 1
  }
}