Pith Number

pith:SWZARQRL

pith:2021:SWZARQRLAUK5GONDQKK35E5DCO

not attested not anchored not stored refs pending

Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel

Lucas Slot

arxiv:2111.04610 v3 · 2021-11-08 · 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{SWZARQRLAUK5GONDQKK35E5DCO}

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

1 paper in Pith

Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra

Receipt and verification

First computed	2026-07-05T08:04:53.800439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b208c22b0515d339a38295be93a313b2aa16f5897f68397af41463a1043fe3

Aliases

arxiv: 2111.04610 · arxiv_version: 2111.04610v3 · doi: 10.48550/arxiv.2111.04610 · pith_short_12: SWZARQRLAUK5 · pith_short_16: SWZARQRLAUK5GOND · pith_short_8: SWZARQRL

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/SWZARQRLAUK5GONDQKK35E5DCO \
  | 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: 95b208c22b0515d339a38295be93a313b2aa16f5897f68397af41463a1043fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffc2aef4b00f61a7b4b70bec642987e7462d54eb847af1189cd964d6c532df7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-08T16:29:48Z",
    "title_canon_sha256": "ddcda1464c2b9ce5880c82e7f9dc93da6e98d1a8e77f108940f1846e82b088f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04610",
    "kind": "arxiv",
    "version": 3
  }
}