pith. sign in
Pith Number

pith:56IPHP53

pith:2018:56IPHP537UC76DJYAPGL3WEE4W
not attested not anchored not stored refs pending

Improving TSP Solutions Using GA with a New Hybrid Mutation Based on Knowledge and Randomness

Ahmad B. A. Hassanat, Esra'a Alkafaween

arxiv:1801.07233 v1 · 2018-01-22 · cs.NE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{56IPHP537UC76DJYAPGL3WEE4W}

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 2026-05-18T00:25:21.853212Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ef90f3bfbbfd05ff0d3803ccbdd884e5a6ced3217495af529c87cbe6d868aba8

Aliases

arxiv: 1801.07233 · arxiv_version: 1801.07233v1 · doi: 10.48550/arxiv.1801.07233 · pith_short_12: 56IPHP537UC7 · pith_short_16: 56IPHP537UC76DJY · pith_short_8: 56IPHP53
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/56IPHP537UC76DJYAPGL3WEE4W \
  | 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: ef90f3bfbbfd05ff0d3803ccbdd884e5a6ced3217495af529c87cbe6d868aba8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "60589cd41a01cd1d1ba073c486a35c1d5af5cf03ac1ecdab136e831c4d01d6c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2018-01-22T18:29:47Z",
    "title_canon_sha256": "d4f4647ad10a721d40c662f7d56d43bc282507a01dd4c7781b388370beb453be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07233",
    "kind": "arxiv",
    "version": 1
  }
}