Pith Number

pith:54MA6RBC

pith:2019:54MA6RBC2GHZMP7FWXT5QWS3UU

not attested not anchored not stored refs pending

Positivity certificates and polynomial optimization on non-compact semialgebraic sets

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

arxiv:1911.11428 v3 · 2019-11-26 · 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{54MA6RBC2GHZMP7FWXT5QWS3UU}

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	2026-07-05T00:24:28.053345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef180f4422d18f963fe5b5e7d85a5ba52170ac5402a51c6a375bb83146f982c1

Aliases

arxiv: 1911.11428 · arxiv_version: 1911.11428v3 · doi: 10.48550/arxiv.1911.11428 · pith_short_12: 54MA6RBC2GHZ · pith_short_16: 54MA6RBC2GHZMP7F · pith_short_8: 54MA6RBC

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/54MA6RBC2GHZMP7FWXT5QWS3UU \
  | 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: ef180f4422d18f963fe5b5e7d85a5ba52170ac5402a51c6a375bb83146f982c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88e6c6b77fb2728c4f2b99c9f942f56d6726483727bfd63a5ff8f92f4ce4358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-11-26T09:56:18Z",
    "title_canon_sha256": "208d90c0e0b54d96a4dd4edc24a09dce6246d1656a2efb360829e733e188e4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.11428",
    "kind": "arxiv",
    "version": 3
  }
}