Pith Number

pith:FCW3B6FZ

pith:2018:FCW3B6FZEJKKOI5XQYJ6VSIOJ2

not attested not anchored not stored refs pending

Worst-case examples for Lasserre's measure--based hierarchy for polynomial optimization on the hypercube

Etienne de Klerk, Monique Laurent

arxiv:1804.05524 v1 · 2018-04-16 · 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{FCW3B6FZEJKKOI5XQYJ6VSIOJ2}

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	2026-05-18T00:18:27.945058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28adb0f8b92254a723b78613eac90e4e843847140447e9234d80c52f171eeb89

Aliases

arxiv: 1804.05524 · arxiv_version: 1804.05524v1 · doi: 10.48550/arxiv.1804.05524 · pith_short_12: FCW3B6FZEJKK · pith_short_16: FCW3B6FZEJKKOI5X · pith_short_8: FCW3B6FZ

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/FCW3B6FZEJKKOI5XQYJ6VSIOJ2 \
  | 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: 28adb0f8b92254a723b78613eac90e4e843847140447e9234d80c52f171eeb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a78f2982048e9efe68bb67f8de408af2f6852aa650c683622f66871715475c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-16T07:20:10Z",
    "title_canon_sha256": "8ddf622f15ea62fb97a421eb05f43c91a390a1e4a83a630ab9fdafb91bf766e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05524",
    "kind": "arxiv",
    "version": 1
  }
}