Pith Number

pith:WG2VRDQV

pith:2026:WG2VRDQVAPBZULCXZZ4M5VC375

not attested not anchored not stored refs pending

Vehicle Routing Problem Meets Large Language Models: An Overview and Perspectives

Chong Shen, Wanquan Liu, Xianchao Xiu, Yanjiao Zhu

arxiv:2607.00604 v1 · 2026-07-01 · 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{WG2VRDQVAPBZULCXZZ4M5VC375}

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	2026-07-02T01:17:48.905566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b5588e1503c39a2c57ce78ced45bff60fa82f2ea3733c44a3dac8e105e7573

Aliases

arxiv: 2607.00604 · arxiv_version: 2607.00604v1 · doi: 10.48550/arxiv.2607.00604 · pith_short_12: WG2VRDQVAPBZ · pith_short_16: WG2VRDQVAPBZULCX · pith_short_8: WG2VRDQV

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/WG2VRDQVAPBZULCXZZ4M5VC375 \
  | 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: b1b5588e1503c39a2c57ce78ced45bff60fa82f2ea3733c44a3dac8e105e7573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f8b8bf0f1bd6fd2b98d011f5d4a8902705895c12a74bbe35ded1364cd5d48a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-01T08:30:20Z",
    "title_canon_sha256": "b17013fadb69df86462f30a5b26393d18ef800ff0f03c1a1a2fad398238c88ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00604",
    "kind": "arxiv",
    "version": 1
  }
}