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Pith Number

pith:PY3MKYMQ

pith:2014:PY3MKYMQVJNGSNS7TGF6OPHCLU
not attested not anchored not stored refs pending

Upper Bound on Singlet Fraction of Two Qubit Mixed Entangled States

Atul Kumar, Satyabrata Adhikari

arxiv:1403.6929 v2 · 2014-03-27 · quant-ph · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PY3MKYMQVJNGSNS7TGF6OPHCLU}

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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 2026-05-18T01:12:32.715078Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e36c56190aa5a69365f998be73ce25d20f6eb363dec2c29110e42e9326491de

Aliases

arxiv: 1403.6929 · arxiv_version: 1403.6929v2 · doi: 10.48550/arxiv.1403.6929 · pith_short_12: PY3MKYMQVJNG · pith_short_16: PY3MKYMQVJNGSNS7 · pith_short_8: PY3MKYMQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PY3MKYMQVJNGSNS7TGF6OPHCLU \
  | 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: 7e36c56190aa5a69365f998be73ce25d20f6eb363dec2c29110e42e9326491de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b0e4896aa2b3f1be0ab852a1f2cc18ae58b66c70d5d4713ad08ccc4b0c66b41c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-03-27T06:57:57Z",
    "title_canon_sha256": "d9a0d8341bdf886e64777032a4e295144108666c5e538ffb5ad6fd9ac66f9043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6929",
    "kind": "arxiv",
    "version": 2
  }
}