Pith Number

pith:VDGY7HCO

pith:2001:VDGY7HCO6FF63QPOBMB3O2BDIL

not attested not anchored not stored refs pending

Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Barbara Terhal, Debbie Leung, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0106080 v3 · 2001-06-14 · 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{VDGY7HCO6FF63QPOBMB3O2BDIL}

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	2026-07-04T14:45:39.297946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8cd8f9c4ef14bedc1ee0b03b7682342daef5b1349279687eb1051a33606ea37

Aliases

arxiv: quant-ph/0106080 · arxiv_version: quant-ph/0106080v3 · doi: 10.48550/arxiv.quant-ph/0106080 · pith_short_12: VDGY7HCO6FF6 · pith_short_16: VDGY7HCO6FF63QPO · pith_short_8: VDGY7HCO

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/VDGY7HCO6FF63QPOBMB3O2BDIL \
  | 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: a8cd8f9c4ef14bedc1ee0b03b7682342daef5b1349279687eb1051a33606ea37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd117e594974cff160a57871274724c02b79bda2db8f589e7b6bf81e3884dcc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-06-14T15:25:41Z",
    "title_canon_sha256": "e39e5e164e3a244e0dce1c6261fff061008f399dc16ed036d2320df531510458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0106080",
    "kind": "arxiv",
    "version": 3
  }
}