Pith Number

pith:7MKPV5KM

pith:2010:7MKPV5KMFHNNZYY45O5IKISCHN

not attested not anchored not stored refs pending

Norm and anti-norm inequalities for positive semi-definite matrices

Fumio Hiai, Jean-Christophe Bourin

arxiv:1012.5171 v2 · 2010-12-23 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MKPV5KMFHNNZYY45O5IKISCHN}

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	2026-05-18T04:29:55.300444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb14faf54c29dadce31cebba8522423b585d1e7b9f575a926d20914366e72022

Aliases

arxiv: 1012.5171 · arxiv_version: 1012.5171v2 · doi: 10.48550/arxiv.1012.5171 · pith_short_12: 7MKPV5KMFHNN · pith_short_16: 7MKPV5KMFHNNZYY4 · pith_short_8: 7MKPV5KM

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/7MKPV5KMFHNNZYY45O5IKISCHN \
  | 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: fb14faf54c29dadce31cebba8522423b585d1e7b9f575a926d20914366e72022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30c21f908f82743fefba7862e9a67fa9674d58c5477b3d02f9ae51c5a7eb1bc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-23T10:34:59Z",
    "title_canon_sha256": "0dc4e97e34ffeba191a0d8c3e7bbff03fee685701a28b8255158a5507df8e2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5171",
    "kind": "arxiv",
    "version": 2
  }
}