Pith Number

pith:6FEJAZXP

pith:2020:6FEJAZXPBXIUQJ4JSA5VYZH6CY

not attested not anchored not stored refs pending

A sparse version of Reznick's Positivstellensatz

Jean-Bernard Lasserre, Ngoc Hoang Anh Mai, Victor Magron

arxiv:2002.05101 v2 · 2020-02-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FEJAZXPBXIUQJ4JSA5VYZH6CY}

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

Sparse Noncommutative Polynomial Optimization

Receipt and verification

First computed	2026-07-05T00:40:28.440635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1489066ef0dd1482789903b5c64fe1633ae2d32641f20c38d79e6ebdb37e6ef

Aliases

arxiv: 2002.05101 · arxiv_version: 2002.05101v2 · doi: 10.48550/arxiv.2002.05101 · pith_short_12: 6FEJAZXPBXIU · pith_short_16: 6FEJAZXPBXIUQJ4J · pith_short_8: 6FEJAZXP

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/6FEJAZXPBXIUQJ4JSA5VYZH6CY \
  | 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: f1489066ef0dd1482789903b5c64fe1633ae2d32641f20c38d79e6ebdb37e6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73daadda36eec643461ef508a4c115901d86e1102e582f18c1d768d2f9fa3c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-02-12T17:20:14Z",
    "title_canon_sha256": "7a0c5d49df4e53141907d7dfa0d486860c5f4597dda4d71f3ddb9e3f413e8f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05101",
    "kind": "arxiv",
    "version": 2
  }
}