Pith Number

pith:ZQX5IF3X

pith:2025:ZQX5IF3XN4KVWWODF5LWRHNSFE

not attested not anchored not stored refs pending

Bayesian causal discovery: Posterior concentration and optimal detection

Ioannis Kontoyiannis, Joni Shaska, Urbashi Mitra, Valentinian Lungu

arxiv:2507.16529 v1 · 2025-07-22 · 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{ZQX5IF3XN4KVWWODF5LWRHNSFE}

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	2026-07-05T11:41:11.508518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2fd417776f155b59c32f57689db2290871138848f69ba8a13d6cb6d4bb3978

Aliases

arxiv: 2507.16529 · arxiv_version: 2507.16529v1 · doi: 10.48550/arxiv.2507.16529 · pith_short_12: ZQX5IF3XN4KV · pith_short_16: ZQX5IF3XN4KVWWOD · pith_short_8: ZQX5IF3X

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/ZQX5IF3XN4KVWWODF5LWRHNSFE \
  | 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: cc2fd417776f155b59c32f57689db2290871138848f69ba8a13d6cb6d4bb3978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6873ab9f8e9034ca359ef4a2d009fdafb3f8605181c7676904d34dfc1f6da7e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-22T12:37:48Z",
    "title_canon_sha256": "19ee4cb2ce6c83b139b1c7cb2dd2f7688012d6f38deaafd57c1650cc821b1cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16529",
    "kind": "arxiv",
    "version": 1
  }
}