Pith Number

pith:UZ4RSJQZ

pith:2001:UZ4RSJQZRQYZTXD2KFB3Y4QKTP

not attested not anchored not stored refs pending

Bound entangled states with not positive partial transposition exist

Pawel Horodecki

arxiv:quant-ph/0103091 v2 · 2001-03-15 · 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{UZ4RSJQZRQYZTXD2KFB3Y4QKTP}

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	2026-07-04T14:45:36.676820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6791926198c3199dc7a5143bc720a9bd97e5c003c33e4540100ec7b6b8ca8b9

Aliases

arxiv: quant-ph/0103091 · arxiv_version: quant-ph/0103091v2 · doi: 10.48550/arxiv.quant-ph/0103091 · pith_short_12: UZ4RSJQZRQYZ · pith_short_16: UZ4RSJQZRQYZTXD2 · pith_short_8: UZ4RSJQZ

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/UZ4RSJQZRQYZTXD2KFB3Y4QKTP \
  | 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: a6791926198c3199dc7a5143bc720a9bd97e5c003c33e4540100ec7b6b8ca8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2986374a86ab1e6282e9a8fd9461f9b5be10d682a518e7b8304eae3178b7b9c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-03-15T14:45:24Z",
    "title_canon_sha256": "c25e82bf98cf19fb9ba952b2202827c6cd56b4f77d9a0d557a0f95f3521390dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0103091",
    "kind": "arxiv",
    "version": 2
  }
}