Pith Number

pith:UZ6EJJ7C

pith:2018:UZ6EJJ7CCIIMO75K4GPWJKB3SS

not attested not anchored not stored refs pending

Optimal Solution of Vehicle Routing Problems with Fractional Objective Function

Andrew Lim, Emiliano Traversi, Roberto Baldacci, Roberto Wolfler Calvo

arxiv:1804.03316 v1 · 2018-04-10 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ6EJJ7CCIIMO75K4GPWJKB3SS}

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	2026-05-18T00:18:56.376882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67c44a7e21210c77faae19f64a83b949c21ce040aa72988fa4ff988f78f658d

Aliases

arxiv: 1804.03316 · arxiv_version: 1804.03316v1 · doi: 10.48550/arxiv.1804.03316 · pith_short_12: UZ6EJJ7CCIIM · pith_short_16: UZ6EJJ7CCIIMO75K · pith_short_8: UZ6EJJ7C

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/UZ6EJJ7CCIIMO75K4GPWJKB3SS \
  | 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: a67c44a7e21210c77faae19f64a83b949c21ce040aa72988fa4ff988f78f658d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13adae1fe3c23b1431c30ce2bb20f750c92ef54cb5ad9cc272379fbaa9e8fcdd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-10T02:38:10Z",
    "title_canon_sha256": "6ce25497bd967107864bc1771b5a82a475cae413c69fd877ce98de46fbff0415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03316",
    "kind": "arxiv",
    "version": 1
  }
}