Pith Number

pith:YTQH73JX

pith:1999:YTQH73JX2ESTPBCYC4CD2ISRBO

not attested not anchored not stored refs pending

Strong Converse and Stein's Lemma in the Quantum Hypothesis Testing

Hiroshi Nagaoka, Tomohiro Ogawa

arxiv:quant-ph/9906090 v1 · 1999-06-24 · 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{YTQH73JX2ESTPBCYC4CD2ISRBO}

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	2026-05-18T00:57:44.636162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e07fed37d12537845817043d22510b91890d76255c6490305e72ee9b865d40

Aliases

arxiv: quant-ph/9906090 · arxiv_version: quant-ph/9906090v1 · doi: 10.48550/arxiv.quant-ph/9906090 · pith_short_12: YTQH73JX2EST · pith_short_16: YTQH73JX2ESTPBCY · pith_short_8: YTQH73JX

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/YTQH73JX2ESTPBCYC4CD2ISRBO \
  | 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: c4e07fed37d12537845817043d22510b91890d76255c6490305e72ee9b865d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84ae47d2ab1090c11b5b81b3fc9c31e5c40abe8d71b1f8adea0ad31fc0c1f03",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-06-24T08:22:59Z",
    "title_canon_sha256": "47f80246060ca44796ff3739056428aa79cdcf6a6418f3640ebc1fa34762c848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9906090",
    "kind": "arxiv",
    "version": 1
  }
}