Pith Number

pith:5APTPNKI

pith:2016:5APTPNKIYO6GSAFPILKD2ZJBX4

not attested not anchored not stored refs pending

Optimum mixed-state discrimination for noisy entanglement-enhanced sensing

Jeffrey H. Shapiro, Quntao Zhuang, Zheshen Zhang

arxiv:1609.01968 v4 · 2016-09-07 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5APTPNKIYO6GSAFPILKD2ZJBX4}

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.

Cited by

1 paper in Pith

Quantum advantage prediction in turbulent free-space quantum illumination

Receipt and verification

First computed	2026-05-18T00:51:46.609808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81f37b548c3bc6900af42d43d6521bf193f69a94332dd7d62232898e1d1521c

Aliases

arxiv: 1609.01968 · arxiv_version: 1609.01968v4 · doi: 10.48550/arxiv.1609.01968 · pith_short_12: 5APTPNKIYO6G · pith_short_16: 5APTPNKIYO6GSAFP · pith_short_8: 5APTPNKI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5APTPNKIYO6GSAFPILKD2ZJBX4 \
  | 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: e81f37b548c3bc6900af42d43d6521bf193f69a94332dd7d62232898e1d1521c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9561812c405be7cac13808b282597606683b7eaea9dc74b31dfb970a3d0c28d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-07T12:59:21Z",
    "title_canon_sha256": "7543b00d0374f1a92b3305a8050398e087bf3c5c34a9288585d198b1267e6fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01968",
    "kind": "arxiv",
    "version": 4
  }
}