Pith Number

pith:QQR3NP77

pith:2026:QQR3NP77QAHJNGCEMFH6KYH7CJ

not attested not anchored not stored refs pending

LLM-Driven Co-Evolutionary Automated Heuristic Design for Bi-Component Coupled Combinatorial Optimization

Jialong Shi, Jianyong Sun, Mingen Kuang, Xi Lin, Xudong Deng, Ye Fan

arxiv:2606.00718 v1 · 2026-05-30 · cs.AI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQR3NP77QAHJNGCEMFH6KYH7CJ}

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	2026-06-02T01:04:03.673120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8423b6bfff800e969844614fe560ff124add3fdf44509670f2070c0c482e7833

Aliases

arxiv: 2606.00718 · arxiv_version: 2606.00718v1 · doi: 10.48550/arxiv.2606.00718 · pith_short_12: QQR3NP77QAHJ · pith_short_16: QQR3NP77QAHJNGCE · pith_short_8: QQR3NP77

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/QQR3NP77QAHJNGCEMFH6KYH7CJ \
  | 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: 8423b6bfff800e969844614fe560ff124add3fdf44509670f2070c0c482e7833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7f7491842f7da6e0ab132ef8b62fcc64d16ce9dd089108ad0673c49266884e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-30T13:04:51Z",
    "title_canon_sha256": "4b4a7915a075651d1cdd04322e52f55fe42cd4afa3934c534b1f8a86378dd359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00718",
    "kind": "arxiv",
    "version": 1
  }
}