Pith Number

pith:Q63U3CLR

pith:2010:Q63U3CLR6P4ZTNYH3BGGTWDQXD

not attested not anchored not stored refs pending

A trace inequality for positive definite matrices

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

arxiv:1011.6325 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{Q63U3CLR6P4ZTNYH3BGGTWDQXD}

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	2026-05-18T04:34:36.014837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b74d8971f3f999b707d84c69d870b8eb40775629e864341d1f06ad68bd29d0

Aliases

arxiv: 1011.6325 · arxiv_version: 1011.6325v1 · doi: 10.48550/arxiv.1011.6325 · pith_short_12: Q63U3CLR6P4Z · pith_short_16: Q63U3CLR6P4ZTNYH · pith_short_8: Q63U3CLR

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/Q63U3CLR6P4ZTNYH3BGGTWDQXD \
  | 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: 87b74d8971f3f999b707d84c69d870b8eb40775629e864341d1f06ad68bd29d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4df0e806db7db592c04aec234460c339fc5aa84d4bdaf8495e7e18fce9678b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-20T17:38:33Z",
    "title_canon_sha256": "ec000bf40597ff44e7f9d9dc05afd5a1baf8932411fecc66b77f04bb78703598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6325",
    "kind": "arxiv",
    "version": 1
  }
}