Pith Number

pith:M26WRBIC

pith:2026:M26WRBICIGL6N3OEMQBKBNGHBG

not attested not anchored not stored refs pending

Quantum walk-based optimisation for capacitated vehicle routing with homogeneous and heterogeneous fleets

Aidan Smith, Callum Neill, Edric Matwiejew, Jingbo Wang, Paulo Santos, Ugo Varetto

arxiv:2606.12856 v1 · 2026-06-11 · 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{M26WRBICIGL6N3OEMQBKBNGHBG}

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	2026-06-12T01:08:54.726961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bd6885024197e6edc46402a0b4c709965a888379263c82a1a60a2a06f9c5ce

Aliases

arxiv: 2606.12856 · arxiv_version: 2606.12856v1 · doi: 10.48550/arxiv.2606.12856 · pith_short_12: M26WRBICIGL6 · pith_short_16: M26WRBICIGL6N3OE · pith_short_8: M26WRBIC

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/M26WRBICIGL6N3OEMQBKBNGHBG \
  | 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: 66bd6885024197e6edc46402a0b4c709965a888379263c82a1a60a2a06f9c5ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ed09ccb030a1a9e010d61fad3b1f389c4c1f8e3e50a43f4c15802d727accae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-11T03:39:29Z",
    "title_canon_sha256": "a492c49fbde0ffb117b7dbd53962dc514375f57fb08f586446aaa46d6fc2f2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12856",
    "kind": "arxiv",
    "version": 1
  }
}