Pith Number

pith:EF7LZZIU

pith:2017:EF7LZZIUCLHW43R3JYD6C5QILK

not attested not anchored not stored refs pending

The Vehicle Routing Problem with Service Level Constraints

Minh Ho\`ang H\`a, Rafael Martinelli, Teobaldo Bulh\~oes, Thibaut Vidal

arxiv:1706.03097 v1 · 2017-06-09 · 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{EF7LZZIUCLHW43R3JYD6C5QILK}

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	2026-05-18T00:42:38.498507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217ebce51412cf6e6e3b4e07e176085a8eb1e3623c579c49d13b121a6ae76da5

Aliases

arxiv: 1706.03097 · arxiv_version: 1706.03097v1 · doi: 10.48550/arxiv.1706.03097 · pith_short_12: EF7LZZIUCLHW · pith_short_16: EF7LZZIUCLHW43R3 · pith_short_8: EF7LZZIU

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/EF7LZZIUCLHW43R3JYD6C5QILK \
  | 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: 217ebce51412cf6e6e3b4e07e176085a8eb1e3623c579c49d13b121a6ae76da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61118047a9da53252483b0d04933c080cfc6ef53ae33a353e767020ade54a7ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-09T19:17:45Z",
    "title_canon_sha256": "288dc652d8131b907f73062f6fa3c206e53a640452fcd962c4b0e400c376bdf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03097",
    "kind": "arxiv",
    "version": 1
  }
}