Pith Number

pith:IFZMID3D

pith:2015:IFZMID3DRK4TBNFAD5RWBAPQRI

not attested not anchored not stored refs pending

Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems

G. Li, J.B. Lasserre, T. S. Pham, V. Jeyakumar

arxiv:1506.02099 v2 · 2015-06-06 · 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{IFZMID3DRK4TBNFAD5RWBAPQRI}

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	2026-05-18T01:22:57.734452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4172c40f638ab930b4a01f636081f08a122d973d7f2c35042df886fa8150a396

Aliases

arxiv: 1506.02099 · arxiv_version: 1506.02099v2 · doi: 10.48550/arxiv.1506.02099 · pith_short_12: IFZMID3DRK4T · pith_short_16: IFZMID3DRK4TBNFA · pith_short_8: IFZMID3D

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/IFZMID3DRK4TBNFAD5RWBAPQRI \
  | 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: 4172c40f638ab930b4a01f636081f08a122d973d7f2c35042df886fa8150a396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d08bfa86670c5381193b5be7cbff8195a560c85d386ed470b8d73ef186a565e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-06T01:49:14Z",
    "title_canon_sha256": "7be15d5d4de5a50a92986721c47723ad60dda8e3c96c63833691b8ab633493f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02099",
    "kind": "arxiv",
    "version": 2
  }
}