Pith Number

pith:GYGLVKWJ

pith:2025:GYGLVKWJOBWMCGKCT77Z4UKVAW

not attested not anchored not stored refs pending

Tractable Representation Learning with Probabilistic Circuits

Antonio Vergari, Kristian Kersting, Martin Mundt, Sahil Sidheekh, Sriraam Natarajan, Steven Braun

arxiv:2507.04385 v2 · 2025-07-06 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYGLVKWJOBWMCGKCT77Z4UKVAW}

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	2026-07-05T11:43:33.271260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360cbaaac9706cc119429fff9e51550599ce8b391a8624bfd9bb836bc9ef1f34

Aliases

arxiv: 2507.04385 · arxiv_version: 2507.04385v2 · doi: 10.48550/arxiv.2507.04385 · pith_short_12: GYGLVKWJOBWM · pith_short_16: GYGLVKWJOBWMCGKC · pith_short_8: GYGLVKWJ

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/GYGLVKWJOBWMCGKCT77Z4UKVAW \
  | 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: 360cbaaac9706cc119429fff9e51550599ce8b391a8624bfd9bb836bc9ef1f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2675e29b2cddd8806803b0e1c27640ddba98c19fbd6ee8969c96cd642e99e381",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-06T13:17:16Z",
    "title_canon_sha256": "8ed0bfbe3542b089435b7f96a4f76aaba6a4304d7e03fe23922b1160d3b19dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04385",
    "kind": "arxiv",
    "version": 2
  }
}