Pith Number

pith:KH2NINCV

pith:2012:KH2NINCVYUT57VCUB2CNDYXPL4

not attested not anchored not stored refs pending

Entangled symmetric states of N qubits with all positive partial transpositions

J. Samsonowicz, J. Tura, M. Lewenstein, R. Augusiak

arxiv:1206.3088 v2 · 2012-06-14 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH2NINCVYUT57VCUB2CNDYXPL4}

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	2026-05-18T03:17:34.260652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f4d43455c527dfd4540e84d1e2ef5f22efd0ab0507b4002e46d2fca8ef207f

Aliases

arxiv: 1206.3088 · arxiv_version: 1206.3088v2 · doi: 10.48550/arxiv.1206.3088 · pith_short_12: KH2NINCVYUT5 · pith_short_16: KH2NINCVYUT57VCU · pith_short_8: KH2NINCV

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/KH2NINCVYUT57VCUB2CNDYXPL4 \
  | 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: 51f4d43455c527dfd4540e84d1e2ef5f22efd0ab0507b4002e46d2fca8ef207f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22df7babadb605a5d45ca82b2747dade20cf9975f414f4ac093882304d46f982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-14T12:34:07Z",
    "title_canon_sha256": "86253ad74ff8638b70bfb5736077fb132861c9e6f148134bb044645c91976a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3088",
    "kind": "arxiv",
    "version": 2
  }
}