Pith Number

pith:IKXPSG6Q

pith:2025:IKXPSG6QY5RNHQ6TM4IP6BJNSP

not attested not anchored not stored refs pending

Hypothesis testing and Stein's lemma in general probability theories with Euclidean Jordan algebra and its quantum realization

Hayato Arai, Kanta Sonoda, Masahito Hayashi

arxiv:2505.02487 v1 · 2025-05-05 · 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{IKXPSG6QY5RNHQ6TM4IP6BJNSP}

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

3 papers in Pith

Sufficiency and Petz recovery for positive maps

Spectral versus interpolation norms in tracial nonassociative $\mathrm{L}^p$-spaces

Sufficiency and Petz recovery for positive maps

Receipt and verification

First computed	2026-07-05T10:58:37.826246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42aef91bd0c762d3c3d36710ff052d93c3ab491ddc98c27d6d616951188e94af

Aliases

arxiv: 2505.02487 · arxiv_version: 2505.02487v1 · doi: 10.48550/arxiv.2505.02487 · pith_short_12: IKXPSG6QY5RN · pith_short_16: IKXPSG6QY5RNHQ6T · pith_short_8: IKXPSG6Q

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/IKXPSG6QY5RNHQ6TM4IP6BJNSP \
  | 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: 42aef91bd0c762d3c3d36710ff052d93c3ab491ddc98c27d6d616951188e94af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ee09f3afe14d0fa29be827b1b6a6e1cf250634ffe8fa6db9a438ccc94cca1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-05-05T09:11:47Z",
    "title_canon_sha256": "862c4324ff941aa7ea177ceb96e6b6b78808c6cd26ef8c7558ca65f4b4617eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02487",
    "kind": "arxiv",
    "version": 1
  }
}