Pith Number

pith:Y5OWQCDA

pith:2010:Y5OWQCDAVUIAAKVMDH5CMOPSTV

not attested not anchored not stored refs pending

A generalization of a trace inequality for positive definite matrices

E.V. Belmega, M. Jungers, S. Lasaulce

arxiv:1011.6324 v1 · 2010-11-20 · 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{Y5OWQCDAVUIAAKVMDH5CMOPSTV}

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	2026-05-18T04:34:36.021737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75d680860ad10002aac19fa2639f29d579019ebadecab783700c7e8b461df59

Aliases

arxiv: 1011.6324 · arxiv_version: 1011.6324v1 · doi: 10.48550/arxiv.1011.6324 · pith_short_12: Y5OWQCDAVUIA · pith_short_16: Y5OWQCDAVUIAAKVM · pith_short_8: Y5OWQCDA

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/Y5OWQCDAVUIAAKVMDH5CMOPSTV \
  | 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: c75d680860ad10002aac19fa2639f29d579019ebadecab783700c7e8b461df59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7800650c9a829a7da675d1404acf69f2e8baaf464016229d48d991c3dab61e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-20T17:55:10Z",
    "title_canon_sha256": "17a348a9eebb811f34a860a79518a5b3a68ff9484a0c4b4ded1dda6bd5ebdab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6324",
    "kind": "arxiv",
    "version": 1
  }
}