Pith Number

pith:JY2O3FQO

pith:2025:JY2O3FQOWVTJDSI7NFBHDZ4DDU

not attested not anchored not stored refs pending

Convergence rates for polynomial optimization on set products

Victor Magron

arxiv:2505.18580 v4 · 2025-05-24 · 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{JY2O3FQOWVTJDSI7NFBHDZ4DDU}

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.

Cited by

2 papers in Pith

Degree Bounds for Positivstellens\"atze of general semialgebraic sets

Receipt and verification

First computed	2026-06-05T01:14:26.957147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e34ed960eb56691c91f694271e7831d3c4d83c5cd53aeef65d3b909735e983a

Aliases

arxiv: 2505.18580 · arxiv_version: 2505.18580v4 · doi: 10.48550/arxiv.2505.18580 · pith_short_12: JY2O3FQOWVTJ · pith_short_16: JY2O3FQOWVTJDSI7 · pith_short_8: JY2O3FQO

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/JY2O3FQOWVTJDSI7NFBHDZ4DDU \
  | 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: 4e34ed960eb56691c91f694271e7831d3c4d83c5cd53aeef65d3b909735e983a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09aaeb50cb49720d43706fec8cc16b22c93012e8fa34f638182dfa0a3858339d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-24T08:09:17Z",
    "title_canon_sha256": "a655543d7616f4e801e8ef5cc9c1715b7aa42d77609929257dfb4c9255182b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18580",
    "kind": "arxiv",
    "version": 4
  }
}