Pith Number

pith:LZF5HNBH

pith:2024:LZF5HNBHWWMQHL6WJSUWHRTZWM

not attested not anchored not stored refs pending

Enhancements of Fragment Based Algorithms for Vehicle Routing Problems

Lucas Sippel, Michael Forbes

arxiv:2411.13151 v1 · 2024-11-20 · 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{LZF5HNBHWWMQHL6WJSUWHRTZWM}

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	2026-07-05T09:38:05.844842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4bd3b427b59903afd64ca963c679b30c26a36e95df9e44d9c7da6d5180786b

Aliases

arxiv: 2411.13151 · arxiv_version: 2411.13151v1 · doi: 10.48550/arxiv.2411.13151 · pith_short_12: LZF5HNBHWWMQ · pith_short_16: LZF5HNBHWWMQHL6W · pith_short_8: LZF5HNBH

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/LZF5HNBHWWMQHL6WJSUWHRTZWM \
  | 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: 5e4bd3b427b59903afd64ca963c679b30c26a36e95df9e44d9c7da6d5180786b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2ced3bcd165e39763690e00a3953e7712aa14bd7d95c8e74b04969aea8ad0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-20T09:41:34Z",
    "title_canon_sha256": "59c6d2e6b23c2767f00b922a84e3e73752c50218eaa3c35df7697f0420490a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13151",
    "kind": "arxiv",
    "version": 1
  }
}