Pith Number

pith:QADXQQFR

pith:2026:QADXQQFR5FXGEYGMDCTUAW46SG

not attested not anchored not stored refs pending

Amortized Bayesian Causal Discovery of Extended Factor Graphs

Joshua Welch, Weizhou Qian, Yichen Gu, Yixin Wang, Yuxuan Song

arxiv:2607.22934 v1 · 2026-07-24 · stat.ML · cs.LG · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QADXQQFR5FXGEYGMDCTUAW46SG}

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	2026-07-28T00:22:02.888597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80077840b1e96e6260cc18a7405b9e918502f54501311ecf57dda4989e409cec

Aliases

arxiv: 2607.22934 · arxiv_version: 2607.22934v1 · doi: 10.48550/arxiv.2607.22934 · pith_short_12: QADXQQFR5FXG · pith_short_16: QADXQQFR5FXGEYGM · pith_short_8: QADXQQFR

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/QADXQQFR5FXGEYGMDCTUAW46SG \
  | 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: 80077840b1e96e6260cc18a7405b9e918502f54501311ecf57dda4989e409cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c746ee791b1512b5c51438cc2a2236934baa4ac2bdaf0b607254b29f639e49",
    "cross_cats_sorted": [
      "cs.LG",
      "q-bio.MN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-24T22:19:20Z",
    "title_canon_sha256": "6952d863dbff1cf9827ecac2e54fee89ec348e09173d02b88695681ed3908d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22934",
    "kind": "arxiv",
    "version": 1
  }
}