Pith Number

pith:5YLJR2MW

pith:2021:5YLJR2MWCDD35UUWHU2ZVGOAAT

not attested not anchored not stored refs pending

An effective version of Schm\"udgen's Positivstellensatz for the hypercube

Lucas Slot, Monique Laurent

arxiv:2109.09528 v2 · 2021-09-20 · 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{5YLJR2MWCDD35UUWHU2ZVGOAAT}

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	2026-07-05T05:38:20.249426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1698e99610c7bed2963d359a99c004d5d3cb85778a4ec5d01d3301e1badbc5

Aliases

arxiv: 2109.09528 · arxiv_version: 2109.09528v2 · doi: 10.48550/arxiv.2109.09528 · pith_short_12: 5YLJR2MWCDD3 · pith_short_16: 5YLJR2MWCDD35UUW · pith_short_8: 5YLJR2MW

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/5YLJR2MWCDD35UUWHU2ZVGOAAT \
  | 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: ee1698e99610c7bed2963d359a99c004d5d3cb85778a4ec5d01d3301e1badbc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6361a1cbf417d0c1bd0e4cbf75f6d6dd077f6760988829e0e098f6438968220d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-20T13:21:31Z",
    "title_canon_sha256": "c85005ead3ae99912fc04fb3d25ac8009b4a247c1c47b92710df46f5ae60e2f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09528",
    "kind": "arxiv",
    "version": 2
  }
}