Pith Number

pith:LCSFAPR4

pith:2000:LCSFAPR4XF5SBAZ3KHLKMDU4V5

not attested not anchored not stored refs pending

Bound entanglement and continuous variables

Maciej Lewenstein, Pawel Horodecki

arxiv:quant-ph/0001035 v3 · 2000-01-11 · 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{LCSFAPR4XF5SBAZ3KHLKMDU4V5}

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	2026-07-04T16:22:16.563052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a4503e3cb97b20833b51d6a60e9caf6af93e1be7a9154cf1120f09dcb6f7c8

Aliases

arxiv: quant-ph/0001035 · arxiv_version: quant-ph/0001035v3 · doi: 10.48550/arxiv.quant-ph/0001035 · pith_short_12: LCSFAPR4XF5S · pith_short_16: LCSFAPR4XF5SBAZ3 · pith_short_8: LCSFAPR4

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/LCSFAPR4XF5SBAZ3KHLKMDU4V5 \
  | 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: 58a4503e3cb97b20833b51d6a60e9caf6af93e1be7a9154cf1120f09dcb6f7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f808fbf7c5ebe4c82d45c852755db2050359b84341bd5252d55421c12493d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-01-11T19:34:38Z",
    "title_canon_sha256": "a960cefd6b8fd0adbddc81130a1f0faf1c290b9c051e8408f67eddb42ae57e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0001035",
    "kind": "arxiv",
    "version": 3
  }
}