Pith Number

pith:DZE4UNAU

pith:2014:DZE4UNAU45EXFMNSBXOBLCUOIV

not attested not anchored not stored refs pending

Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transpose

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1402.5813 v1 · 2014-02-24 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZE4UNAU45EXFMNSBXOBLCUOIV}

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	2026-05-18T01:44:29.066370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e49ca3414e74972b1b20ddc158a8e4546211faaccf4c7601be8e8ed7e8620c4

Aliases

arxiv: 1402.5813 · arxiv_version: 1402.5813v1 · doi: 10.48550/arxiv.1402.5813 · pith_short_12: DZE4UNAU45EX · pith_short_16: DZE4UNAU45EXFMNS · pith_short_8: DZE4UNAU

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/DZE4UNAU45EXFMNSBXOBLCUOIV \
  | 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: 1e49ca3414e74972b1b20ddc158a8e4546211faaccf4c7601be8e8ed7e8620c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c81aa9fc4ddace24205d141c6a7df258987f154819cd1ed63af5bb6edc04aad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-02-24T12:59:47Z",
    "title_canon_sha256": "361a577d0105c07e3a0d56d5332accbd150fa212e4bb17f8d437d4a6eb678b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5813",
    "kind": "arxiv",
    "version": 1
  }
}