Pith Number

pith:QRB7SUYH

pith:2026:QRB7SUYH7CEGB3ZZ4NNSFMICAC

not attested not anchored not stored refs pending

Hybridizing Equilibrium Propagation with Ising Machines for Efficient Energy-Based Learning

Bo Lu, Chen-Rui Fan, Chuan Wang, Tie-Jun Wang, Xing-Yu Wu

arxiv:2606.09112 v1 · 2026-06-08 · 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{QRB7SUYH7CEGB3ZZ4NNSFMICAC}

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	2026-06-09T02:07:59.761011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8443f95307f88860ef39e35b22b1020086050626caca5a9488ba104a16fe26e8

Aliases

arxiv: 2606.09112 · arxiv_version: 2606.09112v1 · doi: 10.48550/arxiv.2606.09112 · pith_short_12: QRB7SUYH7CEG · pith_short_16: QRB7SUYH7CEGB3ZZ · pith_short_8: QRB7SUYH

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/QRB7SUYH7CEGB3ZZ4NNSFMICAC \
  | 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: 8443f95307f88860ef39e35b22b1020086050626caca5a9488ba104a16fe26e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611dbd30f6c889f7696b17b721e2fc620dd18f2504ce42b17621966c7ac3aad2",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T07:04:57Z",
    "title_canon_sha256": "a3d0466f6b7e68808181231be35825f6fe8f8223c82b9bf1e1410bcfad5bb441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09112",
    "kind": "arxiv",
    "version": 1
  }
}