Pith Number

pith:CBPBRMM7

pith:2025:CBPBRMM74MIBS6BMAMTYVYSJIG

not attested not anchored not stored refs pending

Requirements for Early Quantum Utility and Quantum Utility in the Capacitated Vehicle Routing Problem

Chinonso Onah, Kristel Michielsen

arxiv:2509.11469 v2 · 2025-09-14 · quant-ph · cs.CE · physics.app-ph · physics.comp-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBPBRMM74MIBS6BMAMTYVYSJIG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

3 papers in Pith

Quantum optimisation in cities: Limitations and prospects of urban transport systems

Qubit-Scalable CVRP via Lagrangian Knapsack Decomposition and Noise-Aware Quantum Execution

Optimal, Qubit-Efficient Quantum Vehicle Routing via Colored-Permutations

Receipt and verification

First computed	2026-05-20T01:04:57.361178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105e18b19fe31019782c03278ae24941afd6163c81da221997e6f2ef34a9baf3

Aliases

arxiv: 2509.11469 · arxiv_version: 2509.11469v2 · doi: 10.48550/arxiv.2509.11469 · pith_short_12: CBPBRMM74MIB · pith_short_16: CBPBRMM74MIBS6BM · pith_short_8: CBPBRMM7

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/CBPBRMM74MIBS6BMAMTYVYSJIG \
  | 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: 105e18b19fe31019782c03278ae24941afd6163c81da221997e6f2ef34a9baf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a936d3dcdf0e7c0104f920fce3f13d5d090b1570279d3c792836b80287144bed",
    "cross_cats_sorted": [
      "cs.CE",
      "physics.app-ph",
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-14T23:23:00Z",
    "title_canon_sha256": "c8dbf39c0e09247118a862e993d8f1dce33d942bda95ac958a4e9f932d1b394e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11469",
    "kind": "arxiv",
    "version": 2
  }
}