Pith Number

pith:MXR53TL7

pith:2020:MXR53TL75BZFNT2X3RPSHUG3KC

not attested not anchored not stored refs pending

Sum-of-squares hierarchies for binary polynomial optimization

Lucas Slot, Monique Laurent

arxiv:2011.04027 v3 · 2020-11-08 · 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{MXR53TL75BZFNT2X3RPSHUG3KC}

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	2026-07-05T03:49:37.836641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e3ddcd7fe87256cf57dc5f23d0db50920cc1764e60bba928d7fdfca7842af6

Aliases

arxiv: 2011.04027 · arxiv_version: 2011.04027v3 · doi: 10.48550/arxiv.2011.04027 · pith_short_12: MXR53TL75BZF · pith_short_16: MXR53TL75BZFNT2X · pith_short_8: MXR53TL7

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/MXR53TL75BZFNT2X3RPSHUG3KC \
  | 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: 65e3ddcd7fe87256cf57dc5f23d0db50920cc1764e60bba928d7fdfca7842af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80be71f9cd80cc2ff3b2c0fd87d2e967615e05296ac780ef3e3acbfc4af05652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-08T17:09:48Z",
    "title_canon_sha256": "b3e0d16dd10e880d61478e80d00f1eac5c0f0e5b992793beebeebf7ff1e0b0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04027",
    "kind": "arxiv",
    "version": 3
  }
}