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Pith Number

pith:GQSIGSSM

pith:2012:GQSIGSSMMVFXS5YNDBBOLSD5PR
not attested not anchored not stored refs pending

Optimal witnesses for three-qubit entanglement from Greenberger-Horne-Zeilinger symmetry

Christopher Eltschka, Jens Siewert

arxiv:1204.5451 v1 · 2012-04-24 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GQSIGSSMMVFXS5YNDBBOLSD5PR}

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 2026-05-18T03:25:59.516473Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3424834a4c654b79770d1842e5c87d7c559722d751fc7e9b74d6609bb17f432a

Aliases

arxiv: 1204.5451 · arxiv_version: 1204.5451v1 · doi: 10.48550/arxiv.1204.5451 · pith_short_12: GQSIGSSMMVFX · pith_short_16: GQSIGSSMMVFXS5YN · pith_short_8: GQSIGSSM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQSIGSSMMVFXS5YNDBBOLSD5PR \
  | 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: 3424834a4c654b79770d1842e5c87d7c559722d751fc7e9b74d6609bb17f432a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25cbca3ecb856780069a2c32ee0c8cd66fe299ec1d1a5d357438a9d9ed445d88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-24T17:59:16Z",
    "title_canon_sha256": "5dc05e7d47aa49cd1543e04a30289bfc7748eb4dcd2a593628fb7d04232cc86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5451",
    "kind": "arxiv",
    "version": 1
  }
}