Pith Number

pith:AL4P6EFK

pith:2026:AL4P6EFKL7NSLJCX73EE3B6EMV

not attested not anchored not stored refs pending

A Compositional Theory of Curvature in Probabilistic Circuits

Hrithik Suresh, Narayanan Chatapuram Krishnan, Sahil Sidheekh, Shelar Parth Vijay, Sriraam Natarajan, Yasir Z

arxiv:2608.12869 v1 · 2026-08-13 · 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{AL4P6EFKL7NSLJCX73EE3B6EMV}

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	2026-08-14T00:49:26.811819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f8ff10aa5fdb25a457fec84d87c4656bdf06a3297db4ff8f02c0db1e62e031

Aliases

arxiv: 2608.12869 · arxiv_version: 2608.12869v1 · doi: 10.48550/arxiv.2608.12869 · pith_short_12: AL4P6EFKL7NS · pith_short_16: AL4P6EFKL7NSLJCX · pith_short_8: AL4P6EFK

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/AL4P6EFKL7NSLJCX73EE3B6EMV \
  | 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: 02f8ff10aa5fdb25a457fec84d87c4656bdf06a3297db4ff8f02c0db1e62e031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2dfb1f9028fce720459011a7a8f99eb34859c099d0d362f5888869d218dd457",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-13T06:34:01Z",
    "title_canon_sha256": "e4d90bb894fef1789147ebbbbbdd49edba01bd70467713adb15a13b31bb7f6fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12869",
    "kind": "arxiv",
    "version": 1
  }
}