Pith Number

pith:JCHV67FG

pith:2000:JCHV67FG37OU2LHQFLXHJW4QFZ

not attested not anchored not stored refs pending

Operational criterion and constructive checks for the separability of low rank density matrices

Guifr\'e Vidal, Ignacio Cirac, Maciej Lewenstein, Pawel Horodecki

arxiv:quant-ph/0002089 v1 · 2000-02-28 · 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{JCHV67FG37OU2LHQFLXHJW4QFZ}

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	2026-07-04T16:22:18.013197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488f5f7ca6dfdd4d2cf02aee74db902e52f09241d5bbd5d13917142dd451d03e

Aliases

arxiv: quant-ph/0002089 · arxiv_version: quant-ph/0002089v1 · doi: 10.48550/arxiv.quant-ph/0002089 · pith_short_12: JCHV67FG37OU · pith_short_16: JCHV67FG37OU2LHQ · pith_short_8: JCHV67FG

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/JCHV67FG37OU2LHQFLXHJW4QFZ \
  | 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: 488f5f7ca6dfdd4d2cf02aee74db902e52f09241d5bbd5d13917142dd451d03e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e401b81c6e144ae3bf45d451b815bd97c0ca3aa7e0f902385a79b39fe67106e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-02-28T21:09:09Z",
    "title_canon_sha256": "ef8f1432df4d9eb4940d221f64677aba4898866c4f8fdaddc320aa941011b0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0002089",
    "kind": "arxiv",
    "version": 1
  }
}