Pith Number

pith:TL5GWZGO

pith:2006:TL5GWZGOUEXEXB3JCCEARSUNR3

not attested not anchored not stored refs pending

Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding

Masahito Hayashi

arxiv:quant-ph/0611013 v2 · 2006-11-01 · 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{TL5GWZGOUEXEXB3JCCEARSUNR3}

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

R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states

Receipt and verification

First computed	2026-07-04T17:03:36.016006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afa6b64cea12e4b8769108808ca8d8eef0b775904ce87a714689c83a630fee5

Aliases

arxiv: quant-ph/0611013 · arxiv_version: quant-ph/0611013v2 · doi: 10.48550/arxiv.quant-ph/0611013 · pith_short_12: TL5GWZGOUEXE · pith_short_16: TL5GWZGOUEXEXB3J · pith_short_8: TL5GWZGO

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/TL5GWZGOUEXEXB3JCCEARSUNR3 \
  | 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: 9afa6b64cea12e4b8769108808ca8d8eef0b775904ce87a714689c83a630fee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a1b5bb1acb027c1cad4a8ad546fc7644d2c50c9db4845e9c84c7847a3ef2e2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-01T11:51:30Z",
    "title_canon_sha256": "721bb126e6d98a5eca82588d616e380862614dec43b58b48f014ea83c9511f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611013",
    "kind": "arxiv",
    "version": 2
  }
}