Pith Number

pith:3Z3VNVFJ

pith:2000:3Z3VNVFJDUFR3L2U3IKVYU57Z3

not attested not anchored not stored refs pending

Separability and distillability in composite quantum systems -a primer-

A. Sanpera, B. Kraus, D. Bruss, J. I. Cirac, J. Samsonowicz, M. Kus, M. Lewenstein, R. Tarrach

arxiv:quant-ph/0006064 v2 · 2000-06-14 · 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{3Z3VNVFJDUFR3L2U3IKVYU57Z3}

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	2026-05-18T01:04:09.762029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7756d4a91d0b1daf54da155c53bfceeb398dac4cf2c0439b9425cd473aaa73

Aliases

arxiv: quant-ph/0006064 · arxiv_version: quant-ph/0006064v2 · doi: 10.48550/arxiv.quant-ph/0006064 · pith_short_12: 3Z3VNVFJDUFR · pith_short_16: 3Z3VNVFJDUFR3L2U · pith_short_8: 3Z3VNVFJ

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/3Z3VNVFJDUFR3L2U3IKVYU57Z3 \
  | 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: de7756d4a91d0b1daf54da155c53bfceeb398dac4cf2c0439b9425cd473aaa73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e3ab172f7ff5a36deb08275625d40d5449941117e6f4dd3f270f434a5acead",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-14T10:19:43Z",
    "title_canon_sha256": "c53a2e9d4386c028932d7b8c975e83564ab3e3695527903d846f66f7ebb8d2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006064",
    "kind": "arxiv",
    "version": 2
  }
}