Pith Number

pith:VT5QHPRT

pith:2003:VT5QHPRTENBYE3DI6GXDBNK45X

not attested not anchored not stored refs pending

The capacity of a quantum channel for simultaneous transmission of classical and quantum information

I. Devetak, P. W. Shor

arxiv:quant-ph/0311131 v3 · 2003-11-19 · 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{VT5QHPRTENBYE3DI6GXDBNK45X}

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.

Cited by

1 paper in Pith

Sharp Quantum Capacity Thresholds: Exponential Strong Converses for Degradable and Antidegradable Channels

Receipt and verification

First computed	2026-07-04T14:46:27.634855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acfb03be332343826c68f1ae30b55cede1f3129c00477513a1b721ed377e2922

Aliases

arxiv: quant-ph/0311131 · arxiv_version: quant-ph/0311131v3 · doi: 10.48550/arxiv.quant-ph/0311131 · pith_short_12: VT5QHPRTENBY · pith_short_16: VT5QHPRTENBYE3DI · pith_short_8: VT5QHPRT

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/VT5QHPRTENBYE3DI6GXDBNK45X \
  | 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: acfb03be332343826c68f1ae30b55cede1f3129c00477513a1b721ed377e2922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740fa8d8626d297fd5c8c73f2e0c3be8c5bcb1d0e5c7dc3c3255df3d01554b23",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-11-19T17:13:21Z",
    "title_canon_sha256": "10a3994b0ff80790acc142cd441f0da780d8e5f205acf43151c1657490a03b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0311131",
    "kind": "arxiv",
    "version": 3
  }
}