Pith Number

pith:WU5HVR6L

pith:2026:WU5HVR6L2PZU3HNXBGTR5YRWAN

not attested not anchored not stored refs pending

Cluster-based Message-Passing (CluMP) Optimization for Complex QUBO Problems

Alfonso Amendola, Federico Ricci-Tersenghi, Paolo Rissone, Simone Sala, Stefan Boettcher

arxiv:2606.15414 v2 · 2026-06-13 · cond-mat.dis-nn · cond-mat.stat-mech · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU5HVR6L2PZU3HNXBGTR5YRWAN}

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	2026-06-19T16:10:56.071465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b53a7ac7cbd3f34d9db709a71ee23603603061c717f0e5d9748adae937fc93ed

Aliases

arxiv: 2606.15414 · arxiv_version: 2606.15414v2 · doi: 10.48550/arxiv.2606.15414 · pith_short_12: WU5HVR6L2PZU · pith_short_16: WU5HVR6L2PZU3HNX · pith_short_8: WU5HVR6L

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/WU5HVR6L2PZU3HNXBGTR5YRWAN \
  | 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: b53a7ac7cbd3f34d9db709a71ee23603603061c717f0e5d9748adae937fc93ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e90bb6dc29ba8403903c020b0a4ed46331084166805c3398e61ed0857fd7df7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-13T17:54:58Z",
    "title_canon_sha256": "9dcc23834be0e4b5d2535964ed961ab3dd8aca7e6f786238059d0988d36cc9ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15414",
    "kind": "arxiv",
    "version": 2
  }
}