Pith Number

pith:4C6I26QB

pith:2018:4C6I26QBJZRRY4HYLRTUOKU4JB

not attested not anchored not stored refs pending

Robust optimization of a broad class of heterogeneous vehicle routing problems under demand uncertainty

Anirudh Subramanyam, Chrysanthos E. Gounaris, Panagiotis P. Repoussis

arxiv:1810.04348 v2 · 2018-10-10 · math.OC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C6I26QBJZRRY4HYLRTUOKU4JB}

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	2026-05-18T00:02:54.526956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0bc8d7a014e631c70f85c67472a9c484d53418f9d0d77b8453457e54a700840

Aliases

arxiv: 1810.04348 · arxiv_version: 1810.04348v2 · doi: 10.48550/arxiv.1810.04348 · pith_short_12: 4C6I26QBJZRR · pith_short_16: 4C6I26QBJZRRY4HY · pith_short_8: 4C6I26QB

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/4C6I26QBJZRRY4HYLRTUOKU4JB \
  | 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: e0bc8d7a014e631c70f85c67472a9c484d53418f9d0d77b8453457e54a700840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0e09cff98da4aa85b0d0031b9ba315f756f6f582bd7444ce3fb3c9f5638d22",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-10T03:11:41Z",
    "title_canon_sha256": "f7ac1ebd9c843f8b18f31bd7ed1334ba976e70a179ec04d3e2403da520539cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04348",
    "kind": "arxiv",
    "version": 2
  }
}