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Pith Number

pith:3NIV75ZB

pith:2005:3NIV75ZB6XD52K5WAVRO5J7AWD
not attested not anchored not stored refs pending

Algebraic invariants of five qubits

Jean-Gabriel Luque, Jean-Yves Thibon

arxiv:quant-ph/0506058 v2 · 2005-06-07 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3NIV75ZB6XD52K5WAVRO5J7AWD}

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 2026-05-18T03:34:00.364277Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db515ff721f5c7dd2bb60562eea7e0b0e933e96edc1607e61b62b412e13d2e0a

Aliases

arxiv: quant-ph/0506058 · arxiv_version: quant-ph/0506058v2 · doi: 10.48550/arxiv.quant-ph/0506058 · pith_short_12: 3NIV75ZB6XD5 · pith_short_16: 3NIV75ZB6XD52K5W · pith_short_8: 3NIV75ZB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3NIV75ZB6XD52K5WAVRO5J7AWD \
  | 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: db515ff721f5c7dd2bb60562eea7e0b0e933e96edc1607e61b62b412e13d2e0a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b9e242d93cb6d0afa167f6eb5eb026e904f4c17f538f0ed57c6afcfec1039d3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-06-07T09:35:02Z",
    "title_canon_sha256": "a44526e396b6e72d8b92f98e775407c57d3b12ec216fb352136f51474a77b3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0506058",
    "kind": "arxiv",
    "version": 2
  }
}