Pith Number

pith:OLCMJGLE

pith:2015:OLCMJGLE436NPRFFEQJW56NBRX

not attested not anchored not stored refs pending

Separability criteria based on the realignment of density matrices and reduced density matrices

Meng-yuan Wang, Ming Li, Shao-Ming Fei, Shu-Qian Shen

arxiv:1511.00375 v1 · 2015-11-02 · 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{OLCMJGLE436NPRFFEQJW56NBRX}

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	2026-05-18T01:28:12.486469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c4c49964e6fcd7c4a524136ef9a18dde6bc567384953e631138d654ee88624

Aliases

arxiv: 1511.00375 · arxiv_version: 1511.00375v1 · doi: 10.48550/arxiv.1511.00375 · pith_short_12: OLCMJGLE436N · pith_short_16: OLCMJGLE436NPRFF · pith_short_8: OLCMJGLE

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/OLCMJGLE436NPRFFEQJW56NBRX \
  | 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: 72c4c49964e6fcd7c4a524136ef9a18dde6bc567384953e631138d654ee88624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a322b1e85d53f361ea9c469e03863d7472948a6b45cc232e131ec4c09d0d81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-02T04:24:52Z",
    "title_canon_sha256": "44cfe89d811a4cfd16f45824882205bef6130aed6dd8e3dd612bec9b4706869c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00375",
    "kind": "arxiv",
    "version": 1
  }
}