Pith Number

pith:CGVATLWX

pith:2011:CGVATLWXTBCASMS4DAFVB4CIIS

not attested not anchored not stored refs pending

Inverse polynomial optimization

Jean-Bernard Lasserre (LAAS)

arxiv:1103.3284 v3 · 2011-03-16 · 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{CGVATLWXTBCASMS4DAFVB4CIIS}

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	2026-05-18T03:42:32.365107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aa09aed7984409325c180b50f04844a387a540dbff5578f36e8b7ded6dc96d

Aliases

arxiv: 1103.3284 · arxiv_version: 1103.3284v3 · doi: 10.48550/arxiv.1103.3284 · pith_short_12: CGVATLWXTBCA · pith_short_16: CGVATLWXTBCASMS4 · pith_short_8: CGVATLWX

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/CGVATLWXTBCASMS4DAFVB4CIIS \
  | 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: 11aa09aed7984409325c180b50f04844a387a540dbff5578f36e8b7ded6dc96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e7ed6f1f45c89a6b3e1adcff875d5d2b6c0a6067ca653a340143c218658188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-16T20:05:36Z",
    "title_canon_sha256": "445aa7fe1538745a02a33e093f6380448016cb307ff4a05abce51b1bd542c7e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3284",
    "kind": "arxiv",
    "version": 3
  }
}