Pith Number

pith:6HEKNIEL

pith:2000:6HEKNIELTIETJKMCBJOO5PL7W7

not attested not anchored not stored refs pending

Separable approximations of density matrices of composite quantum systems

M. Lewenstein, S. Karnas

arxiv:quant-ph/0011066 v2 · 2000-11-15 · 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{6HEKNIELTIETJKMCBJOO5PL7W7}

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.

Cited by

1 paper in Pith

Estimating the best separable approximation of non-pure spin-squeezed states

Receipt and verification

First computed	2026-05-18T01:05:05.181218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c8a6a08b9a0934a9820a5ceebd7fb7ed895372560683f669bc84ec9c8c5a06

Aliases

arxiv: quant-ph/0011066 · arxiv_version: quant-ph/0011066v2 · doi: 10.48550/arxiv.quant-ph/0011066 · pith_short_12: 6HEKNIELTIET · pith_short_16: 6HEKNIELTIETJKMC · pith_short_8: 6HEKNIEL

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/6HEKNIELTIETJKMCBJOO5PL7W7 \
  | 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: f1c8a6a08b9a0934a9820a5ceebd7fb7ed895372560683f669bc84ec9c8c5a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b051e54885cffe9653015e6d254e2cd7297b258e6835b263a1208225f765760f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-11-15T16:19:04Z",
    "title_canon_sha256": "952ed295d7464cd73f892ec79cc7309815bc642b375e19efe7a4e8da5da54c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0011066",
    "kind": "arxiv",
    "version": 2
  }
}