Pith Number

pith:BEIYYBPH

pith:2010:BEIYYBPHZYR4ROLSHLHNTFO7XQ

not attested not anchored not stored refs pending

Positivstellens\"atze for Algebras of Matrices

Konrad Schm\"udgen, Yurii Savchuk

arxiv:1004.1529 v2 · 2010-04-09 · math.AG · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEIYYBPHZYR4ROLSHLHNTFO7XQ}

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	2026-05-18T04:42:34.342258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09118c05e7ce23c8b9723aced995dfbc1195012c9d24d9d294ecb610dc2f9a31

Aliases

arxiv: 1004.1529 · arxiv_version: 1004.1529v2 · doi: 10.48550/arxiv.1004.1529 · pith_short_12: BEIYYBPHZYR4 · pith_short_16: BEIYYBPHZYR4ROLS · pith_short_8: BEIYYBPH

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/BEIYYBPHZYR4ROLSHLHNTFO7XQ \
  | 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: 09118c05e7ce23c8b9723aced995dfbc1195012c9d24d9d294ecb610dc2f9a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f7fb1f9ed3ebf0f68dbc152b10b575faa929ac95f83d666a1af13759ce5d0d",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-09T11:11:48Z",
    "title_canon_sha256": "65e84617922e602f289c4fe446a3ac202c947b737b92c087915d8b553d3bf724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1529",
    "kind": "arxiv",
    "version": 2
  }
}