Pith Number

pith:7GFZJBZO

pith:2025:7GFZJBZOQ5RUZMRYPKLE3GP2HS

not attested not anchored not stored refs pending

Causality for VARMA processes with instantaneous effects: The global Markov property, faithfulness and instrumental variables

Ignacio Gonz\'alez-P\'erez

arxiv:2501.13037 v1 · 2025-01-22 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GFZJBZOQ5RUZMRYPKLE3GP2HS}

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	2026-07-05T10:04:01.937729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f98b94872e87634cb2387a964d99fa3cbd660fbdb468697a748fe7182ec26491

Aliases

arxiv: 2501.13037 · arxiv_version: 2501.13037v1 · doi: 10.48550/arxiv.2501.13037 · pith_short_12: 7GFZJBZOQ5RU · pith_short_16: 7GFZJBZOQ5RUZMRY · pith_short_8: 7GFZJBZO

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/7GFZJBZOQ5RUZMRYPKLE3GP2HS \
  | 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: f98b94872e87634cb2387a964d99fa3cbd660fbdb468697a748fe7182ec26491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e120c7d90d882b06e568ba3a045dea77b7307c0a91b8a8e1743cfc38631c7dc8",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-01-22T17:36:03Z",
    "title_canon_sha256": "b056ce5a1a5d2ee3e9b4472de4fb21df81e2143bd70066e63773d3dce157f6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13037",
    "kind": "arxiv",
    "version": 1
  }
}