Pith Number

pith:6XTPVU4M

pith:2008:6XTPVU4M7VCA6SO76DPSOAZKQ2

not attested not anchored not stored refs pending

Operational Optimal Ship Routing Using a Hybrid Parallel Genetic Algorithm

D. S. Vlachos, O. T. Kosmas

arxiv:0811.2166 v2 · 2008-11-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XTPVU4M7VCA6SO76DPSOAZKQ2}

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	2026-07-04T15:42:05.414950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e6fad38cfd440f49dff0df27032a869ed42e7ca7f57ab070ab60bc1c526f1a

Aliases

arxiv: 0811.2166 · arxiv_version: 0811.2166v2 · doi: 10.48550/arxiv.0811.2166 · pith_short_12: 6XTPVU4M7VCA · pith_short_16: 6XTPVU4M7VCA6SO7 · pith_short_8: 6XTPVU4M

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/6XTPVU4M7VCA6SO76DPSOAZKQ2 \
  | 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: f5e6fad38cfd440f49dff0df27032a869ed42e7ca7f57ab070ab60bc1c526f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d920887f61343b9cd120f07f3362228cec737f2c73f29335edbcbaf7b6010637",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-13T16:28:58Z",
    "title_canon_sha256": "6312bf3c317e216229f71a90557cb72c0d93dd5ae634df9247c11d52e10c6383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2166",
    "kind": "arxiv",
    "version": 2
  }
}