Pith Number

pith:5W5ZIR7S

pith:2015:5W5ZIR7S2UI6CLAR6QQTWBYNQY

not attested not anchored not stored refs pending

A bounded degree SOS hierarchy for polynomial optimization

Jean-Bernard Lasserre (LAAS, LAAS-MAC), Toh Kim-Chuan, Yang Shouguang

arxiv:1501.06126 v2 · 2015-01-25 · 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{5W5ZIR7S2UI6CLAR6QQTWBYNQY}

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	2026-05-18T01:37:49.129872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edbb9447f2d511e12c11f4213b070d86065056513a2fdc2fdaf3f41141b91955

Aliases

arxiv: 1501.06126 · arxiv_version: 1501.06126v2 · doi: 10.48550/arxiv.1501.06126 · pith_short_12: 5W5ZIR7S2UI6 · pith_short_16: 5W5ZIR7S2UI6CLAR · pith_short_8: 5W5ZIR7S

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/5W5ZIR7S2UI6CLAR6QQTWBYNQY \
  | 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: edbb9447f2d511e12c11f4213b070d86065056513a2fdc2fdaf3f41141b91955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8e7868a73923de02f2dbcf399ee33e17ef4f5416213e1234efb2072bd0c840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-25T08:07:34Z",
    "title_canon_sha256": "11d5cbc814f5cd1293746ff82b2503dee3e53fb371e79b56f38a5314b0c31296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06126",
    "kind": "arxiv",
    "version": 2
  }
}