Pith Number

pith:EL5ONQHK

pith:2020:EL5ONQHKC2G2OBTIA4AGTGZ2IF

not attested not anchored not stored refs pending

Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states

Chuan-Cun Shu, Shan Ma, Shibei Xue, Yu Guo

arxiv:2007.01731 v1 · 2020-07-03 · quant-ph · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL5ONQHKC2G2OBTIA4AGTGZ2IF}

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	2026-07-05T01:16:04.619703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22fae6c0ea168da706680700699b3a416ed5b292b91cad22cfae0519da473239

Aliases

arxiv: 2007.01731 · arxiv_version: 2007.01731v1 · doi: 10.48550/arxiv.2007.01731 · pith_short_12: EL5ONQHKC2G2 · pith_short_16: EL5ONQHKC2G2OBTI · pith_short_8: EL5ONQHK

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/EL5ONQHKC2G2OBTIA4AGTGZ2IF \
  | 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: 22fae6c0ea168da706680700699b3a416ed5b292b91cad22cfae0519da473239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24baf4c5df9dd0381d3f788a161d9f0d07c8878ceb96abd9abb232942ea804c0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-07-03T14:53:58Z",
    "title_canon_sha256": "16264d7d1cadfadd6fd9c3096a84cb6ccd81a0c656cc0afb445e3074426fd7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01731",
    "kind": "arxiv",
    "version": 1
  }
}