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Pith Number

pith:VTWH7R7L

pith:2013:VTWH7R7LUWWCBC4ZY3UQ4V3CCJ
not attested not anchored not stored refs pending

Geometry for separable states and construction of entangled states with positive partial transposes

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1307.1362 v1 · 2013-07-04 · quant-ph · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VTWH7R7LUWWCBC4ZY3UQ4V3CCJ}

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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 2026-05-18T03:14:08.230429Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

acec7fc7eba5ac208b99c6e90e5762126d938a70793023970354dfe14645d7a9

Aliases

arxiv: 1307.1362 · arxiv_version: 1307.1362v1 · doi: 10.48550/arxiv.1307.1362 · pith_short_12: VTWH7R7LUWWC · pith_short_16: VTWH7R7LUWWCBC4Z · pith_short_8: VTWH7R7L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTWH7R7LUWWCBC4ZY3UQ4V3CCJ \
  | 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: acec7fc7eba5ac208b99c6e90e5762126d938a70793023970354dfe14645d7a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b802be59ac7ace4c1c4ba52dc19030f0af482f876e6bf489a49380fea160e18a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-07-04T14:54:39Z",
    "title_canon_sha256": "d339b9c793097a1ff9769e54b7ec4190d9bbca4a04ee277c758545868b17b5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1362",
    "kind": "arxiv",
    "version": 1
  }
}