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Pith Number

pith:WZMPUSC7

pith:2011:WZMPUSC7EI3PYEHR4ESP3B2TZH
not attested not anchored not stored refs pending

Limit Theorems For Quantum Walks Associated with Hadamard Matrices

Clement Ampadu

arxiv:1103.3899 v4 · 2011-03-20 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZMPUSC7EI3PYEHR4ESP3B2TZH}

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 2026-05-18T04:17:04.310201Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b658fa485f2236fc10f1e124fd8753c9c5d5785404992ed6d20a366ff28fd530

Aliases

arxiv: 1103.3899 · arxiv_version: 1103.3899v4 · doi: 10.48550/arxiv.1103.3899 · pith_short_12: WZMPUSC7EI3P · pith_short_16: WZMPUSC7EI3PYEHR · pith_short_8: WZMPUSC7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZMPUSC7EI3PYEHR4ESP3B2TZH \
  | 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: b658fa485f2236fc10f1e124fd8753c9c5d5785404992ed6d20a366ff28fd530
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4f7903d2790fa317db7cf210dcab06b1e38f934524d9a8823f8e3dd88dd4391e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-20T22:48:27Z",
    "title_canon_sha256": "bfd161336360422c3398f6360045b0e91010f203c8fed5b78845bbd8c7477027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3899",
    "kind": "arxiv",
    "version": 4
  }
}