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Pith Number

pith:RW2PPP4V

pith:2015:RW2PPP4VV34UVNIXFX5ELJHOZ5
not attested not anchored not stored refs pending

Near-linear constructions of exact unitary 2-designs

Chunhao Wang, Debbie Leung, Li Liu, Richard Cleve

arxiv:1501.04592 v3 · 2015-01-19 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RW2PPP4VV34UVNIXFX5ELJHOZ5}

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 2026-05-18T00:53:40.647331Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8db4f7bf95aef94ab5172dfa45a4eecf4f546c4fd79be5a6d807a426491f627a

Aliases

arxiv: 1501.04592 · arxiv_version: 1501.04592v3 · doi: 10.48550/arxiv.1501.04592 · pith_short_12: RW2PPP4VV34U · pith_short_16: RW2PPP4VV34UVNIX · pith_short_8: RW2PPP4V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RW2PPP4VV34UVNIXFX5ELJHOZ5 \
  | 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: 8db4f7bf95aef94ab5172dfa45a4eecf4f546c4fd79be5a6d807a426491f627a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7df3a3e3c2d5efd5b51288371953fdda03c0942ff83fb53fb6ca66792fde7090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-19T19:10:42Z",
    "title_canon_sha256": "49c5143f42a9f69b7dd035f5b8a89d5f7184a567111fdfb1bf2d09d060da9abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04592",
    "kind": "arxiv",
    "version": 3
  }
}