Pith Number

pith:H7LBXEDK

pith:2016:H7LBXEDKIAH5YKFZ3EIRYD46P4

not attested not anchored not stored refs pending

On the ring of local unitary invariants for mixed X-states of two qubits

A. Khvedelidze, V. Gerdt, Yu. Palii

arxiv:1603.03262 v3 · 2016-03-10 · quant-ph · cs.SC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7LBXEDKIAH5YKFZ3EIRYD46P4}

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	2026-05-18T00:49:52.386197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd61b906a400fdc28b9d9111c0f9e7f1cf8ed7ec66ab6b2b70cd14308c6a8c0

Aliases

arxiv: 1603.03262 · arxiv_version: 1603.03262v3 · doi: 10.48550/arxiv.1603.03262 · pith_short_12: H7LBXEDKIAH5 · pith_short_16: H7LBXEDKIAH5YKFZ · pith_short_8: H7LBXEDK

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/H7LBXEDKIAH5YKFZ3EIRYD46P4 \
  | 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: 3fd61b906a400fdc28b9d9111c0f9e7f1cf8ed7ec66ab6b2b70cd14308c6a8c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d0c0185d41d9d18b770c1aca8f1457deb03b8e79b40fd3afb19344923cb4e2",
    "cross_cats_sorted": [
      "cs.SC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-10T13:41:31Z",
    "title_canon_sha256": "565d7cad63a5c5002efbc8d4a218e20513c607318eae385ea3ef02e46e00657a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03262",
    "kind": "arxiv",
    "version": 3
  }
}