Pith Number

pith:3W5365V7

pith:2025:3W5365V7PYMQCMITPJSPDMVB7P

not attested not anchored not stored refs pending

Perfect state transfer in Grover walks on association schemes and distance-regular graphs

Bikash Bhattacharjya, Koushik Bhakta

arxiv:2506.07439 v2 · 2025-06-09 · math.CO · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3W5365V7PYMQCMITPJSPDMVB7P}

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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

1 paper in Pith

Perfect state transfer in Grover walks on dihedral Cayley graphs

Receipt and verification

First computed	2026-07-05T11:23:50.213433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbbbf76bf7e190131137a64f1b2a1fbca6aa60cb105235747ebc048093cdacc

Aliases

arxiv: 2506.07439 · arxiv_version: 2506.07439v2 · doi: 10.48550/arxiv.2506.07439 · pith_short_12: 3W5365V7PYMQ · pith_short_16: 3W5365V7PYMQCMIT · pith_short_8: 3W5365V7

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/3W5365V7PYMQCMITPJSPDMVB7P \
  | 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: ddbbbf76bf7e190131137a64f1b2a1fbca6aa60cb105235747ebc048093cdacc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5adee4cd2ab1a8115c4b16db624920c267e5bbd559a90817247be02b6919ccab",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-09T05:32:44Z",
    "title_canon_sha256": "f955c210ad07ffb24a5da8529ced22954abbb996f9a3d7d2204996bdaa2183bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07439",
    "kind": "arxiv",
    "version": 2
  }
}