Pith Number

pith:L47B4M72

pith:2000:L47B4M723PXYL7VUWQ4Q564XLB

not attested not anchored not stored refs pending

Preparation information and optimal decompositions for mixed quantum states

Andrei N. Soklakov, Ruediger Schack

arxiv:quant-ph/0002027 v1 · 2000-02-09 · 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{L47B4M723PXYL7VUWQ4Q564XLB}

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	2026-05-18T01:38:03.454396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3e1e33fadbef85feb4b4390efb97587bd7656fd87062f5cbd6a6419f10d804

Aliases

arxiv: quant-ph/0002027 · arxiv_version: quant-ph/0002027v1 · doi: 10.48550/arxiv.quant-ph/0002027 · pith_short_12: L47B4M723PXY · pith_short_16: L47B4M723PXYL7VU · pith_short_8: L47B4M72

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/L47B4M723PXYL7VUWQ4Q564XLB \
  | 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: 5f3e1e33fadbef85feb4b4390efb97587bd7656fd87062f5cbd6a6419f10d804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc97451957f4aa2789fde78a83974962da5af308889411c7e982d347ea74b8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-02-09T15:44:50Z",
    "title_canon_sha256": "c81008b3630bc9844ef4accb7715e0c4473cb8b7a8e38fba8e7189c97334697c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0002027",
    "kind": "arxiv",
    "version": 1
  }
}