Pith Number

pith:LMITZNNN

pith:2024:LMITZNNNZZ3NZPT4AIRW3ZTLXJ

not attested not anchored not stored refs pending

An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization

Lucas Slot, Monique Laurent

arxiv:2408.04417 v2 · 2024-08-08 · 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{LMITZNNNZZ3NZPT4AIRW3ZTLXJ}

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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	2026-07-05T10:01:15.283442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b113cb5adce76dcbe7c02236de66bba5feaa4bcaaec61e381c549099846c978

Aliases

arxiv: 2408.04417 · arxiv_version: 2408.04417v2 · doi: 10.48550/arxiv.2408.04417 · pith_short_12: LMITZNNNZZ3N · pith_short_16: LMITZNNNZZ3NZPT4 · pith_short_8: LMITZNNN

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/LMITZNNNZZ3NZPT4AIRW3ZTLXJ \
  | 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: 5b113cb5adce76dcbe7c02236de66bba5feaa4bcaaec61e381c549099846c978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e236ff402c19c29c5a1378f504b4850390b8a4080290f9770050ea0f6143a54b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-08-08T12:44:48Z",
    "title_canon_sha256": "dd00786a0ff74a313218eb16fbf78443b30bc886bee398a0915071e779b77391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.04417",
    "kind": "arxiv",
    "version": 2
  }
}