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Pith Number

pith:LIFIJYWC

pith:2015:LIFIJYWCVZZZSSNLDHM7L4ZR56
not attested not anchored not stored refs pending

Phase Retrieval Using Unitary 2-Designs

Shelby Kimmel, Yi-Kai Liu

arxiv:1510.08887 v3 · 2015-10-29 · quant-ph · cs.IT · math.IT · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LIFIJYWCVZZZSSNLDHM7L4ZR56}

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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.
Receipt and verification
First computed 2026-05-18T00:21:57.376408Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a0a84e2c2ae739949ab19d9f5f331efb07efb83c0f0ea83f7dfa39f1112b8aa

Aliases

arxiv: 1510.08887 · arxiv_version: 1510.08887v3 · doi: 10.48550/arxiv.1510.08887 · pith_short_12: LIFIJYWCVZZZ · pith_short_16: LIFIJYWCVZZZSSNL · pith_short_8: LIFIJYWC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LIFIJYWCVZZZSSNLDHM7L4ZR56 \
  | 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: 5a0a84e2c2ae739949ab19d9f5f331efb07efb83c0f0ea83f7dfa39f1112b8aa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "033eda8ab2760aa78836864125e8e21492ae83c767aaacaf2e8bb51a2e6ba08f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-29T20:24:21Z",
    "title_canon_sha256": "37288b7ec489de548b260d726f1028951ae5a2e1e8181b654435a178f3d9af0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08887",
    "kind": "arxiv",
    "version": 3
  }
}