Pith Number

pith:CPCTWHQI

pith:2012:CPCTWHQIQO7B2HJRFPIYYEIIVJ

not attested not anchored not stored refs pending

Quantifying Causal Coupling Strength: A Lag-specific Measure For Multivariate Time Series Related To Transfer Entropy

Jakob Runge, Jobst Heitzig, J\"urgen Kurths, Norbert Marwan

arxiv:1210.2748 v2 · 2012-10-09 · physics.data-an · cs.IT · math.IT · stat.ML

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T01:36:58.458933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c53b1e0883be1d1d312bd18c1108aa46d58ffbc4dc50f81739aca124af8e8a

Aliases

arxiv: 1210.2748 · arxiv_version: 1210.2748v2 · doi: 10.48550/arxiv.1210.2748 · pith_short_12: CPCTWHQIQO7B · pith_short_16: CPCTWHQIQO7B2HJR · pith_short_8: CPCTWHQI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CPCTWHQIQO7B2HJRFPIYYEIIVJ \
  | 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: 13c53b1e0883be1d1d312bd18c1108aa46d58ffbc4dc50f81739aca124af8e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9f6bac3c2b33790266d5945e0a5a4e1f40ecf7d1072dd3f5277ffeae621cd8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2012-10-09T20:33:30Z",
    "title_canon_sha256": "f81382cc1519337531a520907120731d31144164aa415d56df163024b8ed5617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2748",
    "kind": "arxiv",
    "version": 2
  }
}