Pith Number

pith:JGZUEM3A

pith:2016:JGZUEM3AZIRMXJJANPMVKU4I6X

not attested not anchored not stored refs pending

Discretization of the density matrix as a nonlinear positive map and entanglement

Armando Figueroa, Julio A. L\'opez-Sald\'ivar, Margarita A. Man'ko, Octavio Casta\~nos, Ram\'on L\'opez--Pe\~na, Vladimir I. Man'ko

arxiv:1607.00982 v1 · 2016-07-04 · 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{JGZUEM3AZIRMXJJANPMVKU4I6X}

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	2026-05-18T00:51:03.153175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b3423360ca22cba5206bd9555388f5de728e1d1d572187464ffb0c3cf838b0

Aliases

arxiv: 1607.00982 · arxiv_version: 1607.00982v1 · doi: 10.48550/arxiv.1607.00982 · pith_short_12: JGZUEM3AZIRM · pith_short_16: JGZUEM3AZIRMXJJA · pith_short_8: JGZUEM3A

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/JGZUEM3AZIRMXJJANPMVKU4I6X \
  | 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: 49b3423360ca22cba5206bd9555388f5de728e1d1d572187464ffb0c3cf838b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c93dddd818654355b9088f1b92e2ef8447e0959f0cfd277850501b64153a2fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-04T18:19:11Z",
    "title_canon_sha256": "cf41381597f4991632a8b96dc969ebe563878a9cde68f889e90ecba5c079bbb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00982",
    "kind": "arxiv",
    "version": 1
  }
}