Pith Number

pith:RTYUHTFJ

pith:2016:RTYUHTFJVPHBLXCZAIYIHAM4JP

not attested not anchored not stored refs pending

Necessary and sufficient criterion for k-separability of N-qubit noisy GHZ states

Li-zhen Jiang, Xiao-Yu Chen, Zhu-an Xu

arxiv:1605.08496 v2 · 2016-05-27 · 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{RTYUHTFJVPHBLXCZAIYIHAM4JP}

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	2026-05-18T00:08:48.813334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf143cca9abce15dc59023083819c4bf848fbfcd3f7925eb608bf3710d29bcf

Aliases

arxiv: 1605.08496 · arxiv_version: 1605.08496v2 · doi: 10.48550/arxiv.1605.08496 · pith_short_12: RTYUHTFJVPHB · pith_short_16: RTYUHTFJVPHBLXCZ · pith_short_8: RTYUHTFJ

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/RTYUHTFJVPHBLXCZAIYIHAM4JP \
  | 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: 8cf143cca9abce15dc59023083819c4bf848fbfcd3f7925eb608bf3710d29bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99425c9c071d02c88fae493e583f6f54c99513e3632b46e0914aa63834f4bf86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-05-27T03:07:37Z",
    "title_canon_sha256": "f58d5b8a8a1f5f2dbca2579aa26b8276614732d7578578e957251f5373283690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08496",
    "kind": "arxiv",
    "version": 2
  }
}