Pith Number

pith:4WH4GKGA

pith:2011:4WH4GKGASX4473MFYOF7F34JRH

not attested not anchored not stored refs pending

A smooth entropy approach to quantum hypothesis testing and the classical capacity of quantum channels

Fernando G. S. L. Brandao, Milan Mosonyi, Min-Hsiu Hsieh, Nilanjana Datta

arxiv:1106.3089 v4 · 2011-06-15 · 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{4WH4GKGASX4473MFYOF7F34JRH}

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	2026-05-18T03:05:09.940057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58fc328c095f9cfed85c38bf2ef8989e7aed870783d08f620f21477788aaa07

Aliases

arxiv: 1106.3089 · arxiv_version: 1106.3089v4 · doi: 10.48550/arxiv.1106.3089 · pith_short_12: 4WH4GKGASX44 · pith_short_16: 4WH4GKGASX4473MF · pith_short_8: 4WH4GKGA

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/4WH4GKGASX4473MFYOF7F34JRH \
  | 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: e58fc328c095f9cfed85c38bf2ef8989e7aed870783d08f620f21477788aaa07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf0bf9ccde975cf443c2fb07776a96a113c9893cedf9981885f3e3116d805c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-06-15T20:10:46Z",
    "title_canon_sha256": "c1b7eea88a38b35f7ecc82e11e0849563c1f299629315ed833f58d53ee0f4cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3089",
    "kind": "arxiv",
    "version": 4
  }
}