Pith Number

pith:JE3MNTER

pith:2019:JE3MNTER3GARAQ2T4VPXHK5RZF

not attested not anchored not stored refs pending

The sum-of-squares hierarchy on the sphere, and applications in quantum information theory

Hamza Fawzi, Kun Fang

arxiv:1908.05155 v1 · 2019-08-14 · math.OC · cs.CC · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE3MNTER3GARAQ2T4VPXHK5RZF}

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	2026-07-05T01:26:38.766248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4936c6cc91d981104353e55f73abb1c97889073c80cdad24a4b15bec0ac6f5a7

Aliases

arxiv: 1908.05155 · arxiv_version: 1908.05155v1 · doi: 10.48550/arxiv.1908.05155 · pith_short_12: JE3MNTER3GAR · pith_short_16: JE3MNTER3GARAQ2T · pith_short_8: JE3MNTER

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/JE3MNTER3GARAQ2T4VPXHK5RZF \
  | 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: 4936c6cc91d981104353e55f73abb1c97889073c80cdad24a4b15bec0ac6f5a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6da79f9075a2fe1a8097db73dbc5f4eeb6d9ece7ccc315f099e35b71075e20",
    "cross_cats_sorted": [
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-14T14:52:31Z",
    "title_canon_sha256": "70223b1960e0cdf37352ba140ae9b998a1b9bdbc6307bd32fd9b9ec766cfd814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05155",
    "kind": "arxiv",
    "version": 1
  }
}