Pith Number

pith:FPYEEFNZ

pith:2026:FPYEEFNZD4JENWV54MVLFZ6MTJ

not attested not anchored not stored refs pending

Data-Driven Energy-Based Learning via Gibbs Measures on Hierarchical Structures

F. Herrera, L.U. Abdullaev, M.V.Velasco, U.A. Rozikov

arxiv:2606.30064 v1 · 2026-06-29 · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPYEEFNZD4JENWV54MVLFZ6MTJ}

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	2026-06-30T02:17:48.012154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf04215b91f1246dabde32ab2e7cc9a7b7677f83554312c45c866adf235f594

Aliases

arxiv: 2606.30064 · arxiv_version: 2606.30064v1 · doi: 10.48550/arxiv.2606.30064 · pith_short_12: FPYEEFNZD4JE · pith_short_16: FPYEEFNZD4JENWV5 · pith_short_8: FPYEEFNZ

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/FPYEEFNZD4JENWV54MVLFZ6MTJ \
  | 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: 2bf04215b91f1246dabde32ab2e7cc9a7b7677f83554312c45c866adf235f594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466457aaf777224ce5e8bff1e187250de5ae54b7b8f00215ab6bfc217d53e929",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-29T09:57:39Z",
    "title_canon_sha256": "43ac202af63b5325d3896a70ed9bcc6b253b8eaf67cec5f916be280113b7678f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30064",
    "kind": "arxiv",
    "version": 1
  }
}