Pith Number

pith:26XZPKGX

pith:2023:26XZPKGXKI24MIR66HM6HJBWUJ

not attested not anchored not stored refs pending

A Hybrid Genetic Algorithm for the min-max Multiple Traveling Salesman Problem

Changhyun Kwon, Sasan Mahmoudinazlou

arxiv:2307.07120 v3 · 2023-07-14 · cs.NE · 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{26XZPKGXKI24MIR66HM6HJBWUJ}

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	2026-07-05T07:06:31.852362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7af97a8d75235c6223ef1d9e3a436a24f23c04163f6e6d9535f020f21b32b04

Aliases

arxiv: 2307.07120 · arxiv_version: 2307.07120v3 · doi: 10.48550/arxiv.2307.07120 · pith_short_12: 26XZPKGXKI24 · pith_short_16: 26XZPKGXKI24MIR6 · pith_short_8: 26XZPKGX

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/26XZPKGXKI24MIR66HM6HJBWUJ \
  | 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: d7af97a8d75235c6223ef1d9e3a436a24f23c04163f6e6d9535f020f21b32b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75412e3d7e6f6c227621001281a2874e77edb1752a7928d8520f893811fbc7e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2023-07-14T01:57:10Z",
    "title_canon_sha256": "b1c64fdc26d1e4c717af9d0d325912cd6bf49f3bd357480045c5ddbaa793ffa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07120",
    "kind": "arxiv",
    "version": 3
  }
}