Pith Number

pith:NR23JEJO

pith:2020:NR23JEJOAPOYQSDLRL7BEVIDGP

not attested not anchored not stored refs pending

A hierarchy of spectral relaxations for polynomial optimization

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

arxiv:2007.09027 v1 · 2020-07-17 · 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{NR23JEJOAPOYQSDLRL7BEVIDGP}

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	2026-07-05T01:20:06.167972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c75b4912e03dd88486b8afe12550333c41409bf283b16c70bcff29981cf6498

Aliases

arxiv: 2007.09027 · arxiv_version: 2007.09027v1 · doi: 10.48550/arxiv.2007.09027 · pith_short_12: NR23JEJOAPOY · pith_short_16: NR23JEJOAPOYQSDL · pith_short_8: NR23JEJO

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/NR23JEJOAPOYQSDLRL7BEVIDGP \
  | 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: 6c75b4912e03dd88486b8afe12550333c41409bf283b16c70bcff29981cf6498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c27cb7c03b897933979360c4c6b7574864c8542677c5ae1f5c7a0e836a4c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-17T14:41:51Z",
    "title_canon_sha256": "35156ee18085827fb90d765e0e633c4133aeb033892092061b3fbbe4737be5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09027",
    "kind": "arxiv",
    "version": 1
  }
}