Pith Number

pith:K2O7JKPL

pith:2013:K2O7JKPLD3TAYWWXLA24SCNJTJ

not attested not anchored not stored refs pending

Borel measures with a density on a compact semi-algebraic set

Jean-Bernard Lasserre (LAAS)

arxiv:1304.1716 v2 · 2013-04-05 · 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{K2O7JKPLD3TAYWWXLA24SCNJTJ}

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	2026-05-18T03:17:24.393214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569df4a9eb1ee60c5ad75835c909a99a4363e7497def0a1fc3dc45ed0a8505ca

Aliases

arxiv: 1304.1716 · arxiv_version: 1304.1716v2 · doi: 10.48550/arxiv.1304.1716 · pith_short_12: K2O7JKPLD3TA · pith_short_16: K2O7JKPLD3TAYWWX · pith_short_8: K2O7JKPL

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/K2O7JKPLD3TAYWWXLA24SCNJTJ \
  | 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: 569df4a9eb1ee60c5ad75835c909a99a4363e7497def0a1fc3dc45ed0a8505ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f434f8a032a6e88b44f5d121a320f865593a7056ce2ffc38b48baffc967de86a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-05T14:06:56Z",
    "title_canon_sha256": "90f07023ff920cd3d183ea3c131908c07c429fc26a69439bfaba5339f0755445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1716",
    "kind": "arxiv",
    "version": 2
  }
}