Pith Number

pith:H7BP32YK

pith:2026:H7BP32YKQHMFXH4FZHRAIAHRXU

not attested not anchored not stored refs pending

Perfect transmission and parallel composition for quantum walks on graphs with two leads

Allan John Gerrard, Kazumitsu Sakai, Ryo Asaka

arxiv:2605.14640 v1 · 2026-05-14 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7BP32YKQHMFXH4FZHRAIAHRXU}

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	2026-05-17T23:39:03.893716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc2fdeb0a81d85b9f85c9e20400f1bd2ef2d6939640e1bd9dae0c6e4e3bd146

Aliases

arxiv: 2605.14640 · arxiv_version: 2605.14640v1 · doi: 10.48550/arxiv.2605.14640 · pith_short_12: H7BP32YKQHMF · pith_short_16: H7BP32YKQHMFXH4F · pith_short_8: H7BP32YK

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/H7BP32YKQHMFXH4FZHRAIAHRXU \
  | 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: 3fc2fdeb0a81d85b9f85c9e20400f1bd2ef2d6939640e1bd9dae0c6e4e3bd146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df284a202ec11d2e08a374ff2ab7c1d1a86acb085e6d6887cbdc65373830fbf0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T09:57:12Z",
    "title_canon_sha256": "33f7e0d0290675585ba370f018f866f9f0165ff43f6069da93821ab9d32a272b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14640",
    "kind": "arxiv",
    "version": 1
  }
}