Pith Number

pith:QBZLNEKV

pith:2019:QBZLNEKVOE4Q43RVT77YKLFP74

not attested not anchored not stored refs pending

Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere

Etienne de Klerk, Monique Laurent

arxiv:1904.08828 v1 · 2019-04-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBZLNEKVOE4Q43RVT77YKLFP74}

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	2026-05-17T23:48:12.840062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8072b6915571390e6e359fff852cafff25056195ad5cc935c5a8ea282d9b20c7

Aliases

arxiv: 1904.08828 · arxiv_version: 1904.08828v1 · doi: 10.48550/arxiv.1904.08828 · pith_short_12: QBZLNEKVOE4Q · pith_short_16: QBZLNEKVOE4Q43RV · pith_short_8: QBZLNEKV

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/QBZLNEKVOE4Q43RVT77YKLFP74 \
  | 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: 8072b6915571390e6e359fff852cafff25056195ad5cc935c5a8ea282d9b20c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740926fee400f7d1f0eca2b3722e4592002fb1016db993c73a761aadf6fc8fde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-04-18T15:10:23Z",
    "title_canon_sha256": "0daa3af2003e8716ed0d2367470725c9f2a47992553d11620ed36be132cbb2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08828",
    "kind": "arxiv",
    "version": 1
  }
}