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Pith Number

pith:XD5W7QNB

pith:2016:XD5W7QNBUG3ILCD4K3EU64I73M
not attested not anchored not stored refs pending

Semidefinite programming strong converse bounds for classical capacity

Runyao Duan, Wei Xie, Xin Wang

arxiv:1610.06381 v4 · 2016-10-20 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XD5W7QNBUG3ILCD4K3EU64I73M}

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 2026-05-18T00:10:52.372046Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a

Aliases

arxiv: 1610.06381 · arxiv_version: 1610.06381v4 · doi: 10.48550/arxiv.1610.06381 · pith_short_12: XD5W7QNBUG3I · pith_short_16: XD5W7QNBUG3ILCD4 · pith_short_8: XD5W7QNB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M \
  | 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: b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ce246971f8afbf81fdc8831f8a34eeed0a51e31eba7523b05c60c9402e604ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-20T12:35:23Z",
    "title_canon_sha256": "663e9364cf9cc0028853848e4e3334da8aa9988ed1ee86cc07f735264e8e4a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06381",
    "kind": "arxiv",
    "version": 4
  }
}