Pith Number

pith:FBBZTVO7

pith:2002:FBBZTVO7HWE7YZTYFOCMRMRVHP

not attested not anchored not stored refs pending

Lewenstein-Sanpera decomposition of a generic 2x2 density matrix by using Wootters's basis

M.A.Jafarizadeh, S. J. Akhtarshenas

arxiv:quant-ph/0211051 v1 · 2002-11-09 · 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{FBBZTVO7HWE7YZTYFOCMRMRVHP}

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	2026-05-18T01:05:04.280631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284399d5df3d89fc66782b84c8b2353beee4ebb45b05f5370f7bb45167481158

Aliases

arxiv: quant-ph/0211051 · arxiv_version: quant-ph/0211051v1 · doi: 10.48550/arxiv.quant-ph/0211051 · pith_short_12: FBBZTVO7HWE7 · pith_short_16: FBBZTVO7HWE7YZTY · pith_short_8: FBBZTVO7

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/FBBZTVO7HWE7YZTYFOCMRMRVHP \
  | 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: 284399d5df3d89fc66782b84c8b2353beee4ebb45b05f5370f7bb45167481158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe80cf184d6aad241d465eee7cd63ae2655861c5690ec29ac754bfcf89b0f19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-11-09T21:29:19Z",
    "title_canon_sha256": "4d22ccd6eebef96c9540f47926aac5f114c063c2010db5c08318af071180c80a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0211051",
    "kind": "arxiv",
    "version": 1
  }
}