Pith Number

pith:ZLKJLBAV

pith:2002:ZLKJLBAVMRCTQM37T3RALQU6E7

not attested not anchored not stored refs pending

Remarks on additivity of the Holevo channel capacity and of the entanglement of formation

Andreas Winter, Keiji Matsumoto, Toshiyuki Shimono

arxiv:quant-ph/0206148 v4 · 2002-06-20 · 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{ZLKJLBAVMRCTQM37T3RALQU6E7}

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	2026-05-18T01:05:04.468181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad4958415644538337f9ee205c29e27de27eba3b9e648ab773e5068b4f72ac4

Aliases

arxiv: quant-ph/0206148 · arxiv_version: quant-ph/0206148v4 · doi: 10.48550/arxiv.quant-ph/0206148 · pith_short_12: ZLKJLBAVMRCT · pith_short_16: ZLKJLBAVMRCTQM37 · pith_short_8: ZLKJLBAV

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/ZLKJLBAVMRCTQM37T3RALQU6E7 \
  | 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: cad4958415644538337f9ee205c29e27de27eba3b9e648ab773e5068b4f72ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc91e388e33bc72c001ccf03542d312b2b2bb83d7217f12a5f3d2e1fb545d90",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-06-20T17:41:40Z",
    "title_canon_sha256": "84a30d64aff3a65fe3919f4c9ea29f22cbbbb587c769567cd5c58e191883ad13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0206148",
    "kind": "arxiv",
    "version": 4
  }
}