Pith Number

pith:Z4YVT67U

pith:2022:Z4YVT67UCYNPD7JPKJJI3M72FE

not attested not anchored not stored refs pending

On {\L}ojasiewicz Inequalities and the Effective Putinar's Positivstellensatz

Adam Parusinski (LJAD), Bernard Mourrain (AROMATH), Lorenzo Baldi (AROMATH, PolSys)

arxiv:2212.09551 v2 · 2022-12-19 · math.AC · math.AG · 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{Z4YVT67UCYNPD7JPKJJI3M72FE}

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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	2026-07-05T09:05:08.724079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3159fbf4161af1fd2f52528db3fa29140b26dfbecde37bfe204a1250e89b2f

Aliases

arxiv: 2212.09551 · arxiv_version: 2212.09551v2 · doi: 10.48550/arxiv.2212.09551 · pith_short_12: Z4YVT67UCYNP · pith_short_16: Z4YVT67UCYNPD7JP · pith_short_8: Z4YVT67U

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/Z4YVT67UCYNPD7JPKJJI3M72FE \
  | 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: cf3159fbf4161af1fd2f52528db3fa29140b26dfbecde37bfe204a1250e89b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0180d10ac3fd5c197186f94aa3920df3af823f1d7d3656c7e77b6d26c00a9f91",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-12-19T15:43:31Z",
    "title_canon_sha256": "7ea24d6b2fcbb6564c066e84582efc37394f0fe02386c4dda8d32608238af429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09551",
    "kind": "arxiv",
    "version": 2
  }
}