Pith Number

pith:Z5HIGTJ6

pith:2026:Z5HIGTJ6MXOLQ4SFSJMLKZ5QAI

not attested not anchored not stored refs pending

Hybrid Quantum-Classical Optimization Workflows for the Shipment Selection Problem

Ananth Kaushik, Claudio Girotto, Daiwei Zhu, Jonas Alm, Jonas Hatzenbuhler, Julia Kompalla, Martin Roetteler, Mena Issler, Miguel Angel Lopez-Ruiz, Shudian Zhao, Willie Aboumrad

A hybrid quantum-classical workflow for the shipment selection problem improves deliveries by up to 12 percent and reduces drive distance by up to 6 percent on tested instances when quantum assignments serve as warm starts.

arxiv:2604.11758 v2 · 2026-04-13 · quant-ph

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\usepackage{pith}
\pithnumber{Z5HIGTJ6MXOLQ4SFSJMLKZ5QAI}

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Record completeness

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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.

Claims

C1strongest claim

When the quantum assignment is passed to the classical solver as a warm start, the resulting hybrid workflow achieves improvements of up to 12% in SD and a reduction of up to 6% in total drive distance per shipment for specific instances, while total operational cost remains effectively unchanged.

C2weakest assumption

That the assignments produced by Iterative-QAOA on the tested instances supply a meaningfully superior warm start compared with classical heuristics or random initialization for the same problem sizes and data.

C3one line summary

Hybrid Iterative-QAOA warm starts improve shipment delivery by up to 12% and cut drive distance by 6% on real logistics data when fed to a classical solver.

Receipt and verification

First computed	2026-06-09T01:04:42.757144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4e834d3e65dcb872459258b567b0020ffe8214daf248f0a5085ec82796ba9b

Aliases

arxiv: 2604.11758 · arxiv_version: 2604.11758v2 · doi: 10.48550/arxiv.2604.11758 · pith_short_12: Z5HIGTJ6MXOL · pith_short_16: Z5HIGTJ6MXOLQ4SF · pith_short_8: Z5HIGTJ6

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/Z5HIGTJ6MXOLQ4SFSJMLKZ5QAI \
  | 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: cf4e834d3e65dcb872459258b567b0020ffe8214daf248f0a5085ec82796ba9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95a5d5a8930837c6a70056e253765e45ee5dda25eae8fda64bfca03f4d68d94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-13T17:30:49Z",
    "title_canon_sha256": "ad76a9a25d58e4d4387d7381e24b42bc5c882a5aad97a28b6d5ec0134da33410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11758",
    "kind": "arxiv",
    "version": 2
  }
}