Pith Number

pith:3PDXLHM3

pith:2025:3PDXLHM3PNIEOD5UVUEM3HIA5E

not attested not anchored not stored refs pending

How do Probabilistic Graphical Models and Graph Neural Networks Look at Network Data?

Caterina De Bacco, Michela Lapenna

arxiv:2506.11869 v3 · 2025-06-13 · stat.ML · cond-mat.dis-nn · cond-mat.stat-mech · cs.LG · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PDXLHM3PNIEOD5UVUEM3HIA5E}

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	2026-07-05T11:57:57.167670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc7759d9b7b50470fb4ad08cd9d00e91829fab0c510d9b1426afe66038a7a48

Aliases

arxiv: 2506.11869 · arxiv_version: 2506.11869v3 · doi: 10.48550/arxiv.2506.11869 · pith_short_12: 3PDXLHM3PNIE · pith_short_16: 3PDXLHM3PNIEOD5U · pith_short_8: 3PDXLHM3

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/3PDXLHM3PNIEOD5UVUEM3HIA5E \
  | 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: dbc7759d9b7b50470fb4ad08cd9d00e91829fab0c510d9b1426afe66038a7a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5dde0cebe3929adae67b4d062467d1b98259e5d32d4ab715982787a1dff052",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "cs.LG",
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-06-13T15:19:28Z",
    "title_canon_sha256": "4949087405e7bc0a0048abec6c1a47f6163bef2a5a144340249d901fae953fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11869",
    "kind": "arxiv",
    "version": 3
  }
}