Pith Number

pith:YR74YVK2

pith:2023:YR74YVK2ZBETNP42MFHIAN76KL

not attested not anchored not stored refs pending

A remark on non-commutative $L^p$-spaces

Shinya Kato, Yoshimichi Ueda

arxiv:2307.01790 v2 · 2023-07-04 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YR74YVK2ZBETNP42MFHIAN76KL}

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

2 papers in Pith

No off-diagonal quantum focusing for R\'enyi divergences

A general proof of integer R\'enyi QNEC

Receipt and verification

First computed	2026-07-05T08:40:53.941261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47fcc555ac84936bf9a614e8037fe52ec58218a9cfcac00cf56b2e80562a3d6

Aliases

arxiv: 2307.01790 · arxiv_version: 2307.01790v2 · doi: 10.48550/arxiv.2307.01790 · pith_short_12: YR74YVK2ZBET · pith_short_16: YR74YVK2ZBETNP42 · pith_short_8: YR74YVK2

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/YR74YVK2ZBETNP42MFHIAN76KL \
  | 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: c47fcc555ac84936bf9a614e8037fe52ec58218a9cfcac00cf56b2e80562a3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca7e0aa683e595c96396266606df4d865d5127fe0b84ae6f900efe4d1cb5d87",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-07-04T15:59:27Z",
    "title_canon_sha256": "e521696dd34fad54880a9c19017bd4afe0ade6b1f5db02791ca1c464b368dfa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01790",
    "kind": "arxiv",
    "version": 2
  }
}