Pith Number

pith:6D5YYB5X

pith:2012:6D5YYB5XFNHFJOADDFU27NVRI7

not attested not anchored not stored refs pending

A note on the Jensen inequality for self-adjoint operators. II

Tomohiro Hayashi

arxiv:1203.1154 v1 · 2012-03-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6D5YYB5XFNHFJOADDFU27NVRI7}

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	2026-05-18T04:00:40.224682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fb8c07b72b4e54b8031969afb6b147d535997f4d087fe99dbccacc4ac147b0

Aliases

arxiv: 1203.1154 · arxiv_version: 1203.1154v1 · doi: 10.48550/arxiv.1203.1154 · pith_short_12: 6D5YYB5XFNHF · pith_short_16: 6D5YYB5XFNHFJOAD · pith_short_8: 6D5YYB5X

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/6D5YYB5XFNHFJOADDFU27NVRI7 \
  | 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: f0fb8c07b72b4e54b8031969afb6b147d535997f4d087fe99dbccacc4ac147b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b83a9e8ff795819dfcf4d2b1b6c7d518eef406e27ed5b8865b82c481e0934d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-06T10:13:25Z",
    "title_canon_sha256": "0aafa907c6bfdbc7357c37553f0cfb14c0c047c3a43fc3a559d736cf0aac37da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1154",
    "kind": "arxiv",
    "version": 1
  }
}