Pith Number

pith:4ESXSB7P

pith:2012:4ESXSB7PQ4P76MFLBXCDHYSZMV

not attested not anchored not stored refs pending

Testing whether linear equations are causal: A free probability theory approach

Dominik Janzing, Jakob Zscheischler, Kun Zhang

arxiv:1202.3779 v1 · 2012-02-14 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ESXSB7PQ4P76MFLBXCDHYSZMV}

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	2026-05-18T04:02:02.810122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1257907ef871fff30ab0dc433e259656ec72a50627c9650368634039469787c

Aliases

arxiv: 1202.3779 · arxiv_version: 1202.3779v1 · doi: 10.48550/arxiv.1202.3779 · pith_short_12: 4ESXSB7PQ4P7 · pith_short_16: 4ESXSB7PQ4P76MFL · pith_short_8: 4ESXSB7P

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/4ESXSB7PQ4P76MFLBXCDHYSZMV \
  | 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: e1257907ef871fff30ab0dc433e259656ec72a50627c9650368634039469787c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8734bd91b539ceccb074777d90e0ec51e592e895a15ce1ec9ace228b6272f7f5",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-02-14T16:41:17Z",
    "title_canon_sha256": "4b785f1384e441d06a3026f84daf00d20727de72f6466a9089c7b41f994ea161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3779",
    "kind": "arxiv",
    "version": 1
  }
}