Pith Number

pith:XOYKD7JL

pith:2026:XOYKD7JLUOMQ3RU74NVJNJOPDY

not attested not anchored not stored refs pending

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

Ali Almasi, Cambyse Rouz\'e, D\'avid Bug\'ar, Peter Brown

arxiv:2606.04940 v1 · 2026-06-03 · quant-ph · 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{XOYKD7JLUOMQ3RU74NVJNJOPDY}

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.

Receipt and verification

First computed	2026-06-04T01:09:56.830278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb0a1fd2ba3990dc69fe36a96a5cf1e0fb2523470df1eaed0894447c5a585bc

Aliases

arxiv: 2606.04940 · arxiv_version: 2606.04940v1 · doi: 10.48550/arxiv.2606.04940 · pith_short_12: XOYKD7JLUOMQ · pith_short_16: XOYKD7JLUOMQ3RU7 · pith_short_8: XOYKD7JL

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/XOYKD7JLUOMQ3RU74NVJNJOPDY \
  | 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: bbb0a1fd2ba3990dc69fe36a96a5cf1e0fb2523470df1eaed0894447c5a585bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9087c3de4f0873ea52a1512a0af34c2ccea37d65b0e0de5bfd4231503361c4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-03T14:30:52Z",
    "title_canon_sha256": "8a5ecfd766731d4ad8a4f8e1f7b8d71d43740c139f95c6b4d11ced9563339f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04940",
    "kind": "arxiv",
    "version": 1
  }
}