Pith Number

pith:QY37EPNE

pith:2010:QY37EPNEKI36M6C2IU54RGLZ4Z

not attested not anchored not stored refs pending

Constructing optimal entanglement witnesses. II

Dariusz Chruscinski, Justyna Pytel

arxiv:1006.3059 v1 · 2010-06-15 · quant-ph · 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{QY37EPNEKI36M6C2IU54RGLZ4Z}

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	2026-05-18T03:23:48.390342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8637f23da45237e6785a453bc89979e64a4e98a015742f192437238509ca12de

Aliases

arxiv: 1006.3059 · arxiv_version: 1006.3059v1 · doi: 10.48550/arxiv.1006.3059 · pith_short_12: QY37EPNEKI36 · pith_short_16: QY37EPNEKI36M6C2 · pith_short_8: QY37EPNE

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/QY37EPNEKI36M6C2IU54RGLZ4Z \
  | 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: 8637f23da45237e6785a453bc89979e64a4e98a015742f192437238509ca12de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78d79ecd99d14eba9b1d1a26d5bc29ab5c187a462762fae6ae8e8497dff5900",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-15T19:40:40Z",
    "title_canon_sha256": "463027a3b79b30f1deeb6a9f4b1c08650335a6c4232a8cf023b9edda6e98a07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3059",
    "kind": "arxiv",
    "version": 1
  }
}