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Pith Number

pith:3KM3SRDI

pith:2016:3KM3SRDIHLB7OLRU22OY4NSVW4
not attested not anchored not stored refs pending

Universal fault-tolerant gates on concatenated stabilizer codes

Isaac L. Chuang, Ryuji Takagi, Theodore J. Yoder

arxiv:1603.03948 v2 · 2016-03-12 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3KM3SRDIHLB7OLRU22OY4NSVW4}

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 2026-05-18T01:04:27.950551Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da99b944683ac3f72e34d69d8e3655b71d0130a346be41e9d3e0d1cc9be9a380

Aliases

arxiv: 1603.03948 · arxiv_version: 1603.03948v2 · doi: 10.48550/arxiv.1603.03948 · pith_short_12: 3KM3SRDIHLB7 · pith_short_16: 3KM3SRDIHLB7OLRU · pith_short_8: 3KM3SRDI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3KM3SRDIHLB7OLRU22OY4NSVW4 \
  | 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: da99b944683ac3f72e34d69d8e3655b71d0130a346be41e9d3e0d1cc9be9a380
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0af76b27de5542ea14a4738c9a49350e043f4c462a01dc415c064377caef12a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-12T17:45:55Z",
    "title_canon_sha256": "937a618ffdb414221e6e623d1839cbf134a81dc5d78851bcada0ad880f12cf52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03948",
    "kind": "arxiv",
    "version": 2
  }
}