Pith Number

pith:VST3A5VJ

pith:2025:VST3A5VJ5BM66NZ2AB4QECCRYS

not attested not anchored not stored refs pending

A Comparative Review of Parallel Exact, Heuristic, Metaheuristic, and Hybrid Optimization Techniques for the Traveling Salesman Problem

Boushra Almazroua, Dana Alhaidan, Fatima Alkhomayes, Jumana Almuhaidib, Maryam Alothman, Rabab Alkhalifa

arxiv:2505.18278 v1 · 2025-05-23 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VST3A5VJ5BM66NZ2AB4QECCRYS}

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	2026-07-05T11:08:44.008726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca7b076a9e859ef373a0079020851c49d676af2acbab30c155b71df49b6ad67

Aliases

arxiv: 2505.18278 · arxiv_version: 2505.18278v1 · doi: 10.48550/arxiv.2505.18278 · pith_short_12: VST3A5VJ5BM6 · pith_short_16: VST3A5VJ5BM66NZ2 · pith_short_8: VST3A5VJ

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/VST3A5VJ5BM66NZ2AB4QECCRYS \
  | 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: aca7b076a9e859ef373a0079020851c49d676af2acbab30c155b71df49b6ad67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51631215a96ecf2fd3f33d968b2ebc56abffaf1302d4c7ed2315d743e4324abe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2025-05-23T18:14:24Z",
    "title_canon_sha256": "f2f6f3854ae0e37d1a136fb48d3d2c327e8a9124e8f92566cd9d476efb1e9aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18278",
    "kind": "arxiv",
    "version": 1
  }
}