Pith Number

pith:RPHRZCPI

pith:2025:RPHRZCPIYPKKBV6BZZKHU2GZK4

not attested not anchored not stored refs pending

Solving Large-Scale Vehicle Routing Problems with Hybrid Quantum-Classical Decomposition

Andrew Maciejunes, Dan Gunlycke, John Stenger, Nikos Chrisochoides

arxiv:2507.05373 v1 · 2025-07-07 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPHRZCPIYPKKBV6BZZKHU2GZK4}

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.

Cited by

5 papers in Pith

Scalable quantum circuit knitting using a weak-coupling approximation

Versioned Late Materialization for Ultra-Long Sequence Training in Recommendation Systems at Scale

Hierarchical QAOA for the Vehicle Routing Problem via Clustered Decomposition and Local Feasibility Repair

From Prototype to Classroom: An Intelligent Tutoring System for Quantum Education

Distributed Quantum-Enhanced Optimization: A Topographical Preconditioning Approach for High-Dimensional Search

Receipt and verification

First computed	2026-07-05T11:33:29.378640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bcf1c89e8c3d4a0d7c1ce547a68d95705a8d6c7baa1f33427ea487e3df34d48

Aliases

arxiv: 2507.05373 · arxiv_version: 2507.05373v1 · doi: 10.48550/arxiv.2507.05373 · pith_short_12: RPHRZCPIYPKK · pith_short_16: RPHRZCPIYPKKBV6B · pith_short_8: RPHRZCPI

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/RPHRZCPIYPKKBV6BZZKHU2GZK4 \
  | 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: 8bcf1c89e8c3d4a0d7c1ce547a68d95705a8d6c7baa1f33427ea487e3df34d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db540f65f76580cdc397dba8c0ce816611e1a00ab0f54b2875ef63e81fe7f4c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-07T18:02:13Z",
    "title_canon_sha256": "bcc2aa65de91ff37aacde477731507bf40120caac784939f9fa6e17529f962de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05373",
    "kind": "arxiv",
    "version": 1
  }
}