Pith Number

pith:QE5N6CAA

pith:2026:QE5N6CAA4JZHXPNFNA3JBTBKUS

not attested not anchored not stored refs pending

A QUBO-Based Optimization Framework for ATM Cash Replenishment Scheduling

Davide Caputo, Davide Corbelletto, Davide Veronelli, Francesca Cibrario, Giulia Montani, Luca Toffanetti, Riccardo Aiolfi, Valeria Zaffaroni

arxiv:2607.22675 v1 · 2026-07-10 · math.OC · 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{QE5N6CAA4JZHXPNFNA3JBTBKUS}

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	2026-07-28T00:21:48.576471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813adf0800e2727bbda5683690cc2aa49875e4ea140ffd7104b2b0e6b8372e96

Aliases

arxiv: 2607.22675 · arxiv_version: 2607.22675v1 · doi: 10.48550/arxiv.2607.22675 · pith_short_12: QE5N6CAA4JZH · pith_short_16: QE5N6CAA4JZHXPNF · pith_short_8: QE5N6CAA

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/QE5N6CAA4JZHXPNFNA3JBTBKUS \
  | 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: 813adf0800e2727bbda5683690cc2aa49875e4ea140ffd7104b2b0e6b8372e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2992ae2bb6c6747eedc677b89c9618f48e4546988e6787b3c282614be36e470",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-10T10:03:07Z",
    "title_canon_sha256": "d29c57df80f236c4b7f7dd455962668a94754c3fc6cdbb2a4d81d7f6b92f46ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22675",
    "kind": "arxiv",
    "version": 1
  }
}