Pith Number

pith:YBI5NWJQ

pith:2011:YBI5NWJQF4CM7XYZA7RNAEWIRX

not attested not anchored not stored refs pending

Private and Quantum Capacities of More Capable and Less Noisy Quantum Channels

Shun Watanabe

arxiv:1110.5746 v3 · 2011-10-26 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBI5NWJQF4CM7XYZA7RNAEWIRX}

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	2026-05-18T04:03:55.706636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94

Aliases

arxiv: 1110.5746 · arxiv_version: 1110.5746v3 · doi: 10.48550/arxiv.1110.5746 · pith_short_12: YBI5NWJQF4CM · pith_short_16: YBI5NWJQF4CM7XYZ · pith_short_8: YBI5NWJQ

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/YBI5NWJQF4CM7XYZA7RNAEWIRX \
  | 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: c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef058908dc099ebd984b0ecd740fec9e86f6da9e5fe699472e347efcbae3fcf8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-26T09:01:06Z",
    "title_canon_sha256": "3848cec3cd61117d5179682feee837aa1e374c43ba7a9d32cc08f0fb9c904b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5746",
    "kind": "arxiv",
    "version": 3
  }
}