Pith Number

pith:PNG37R5H

pith:2022:PNG37R5HJKU4VOGKH6YLW4GSNA

not attested not anchored not stored refs pending

Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant

Jean-Bernard Lasserre, Kim-Chuan Toh, Ngoc Hoang Anh Mai, Victor Magron

arxiv:2209.06175 v2 · 2022-09-13 · math.OC · cs.LG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNG37R5HJKU4VOGKH6YLW4GSNA}

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	2026-07-05T11:19:47.760859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4dbfc7a74aa9cab8ca3fb0bb70d2680d7af97c37d3ff55f32157e8f54d73d6

Aliases

arxiv: 2209.06175 · arxiv_version: 2209.06175v2 · doi: 10.48550/arxiv.2209.06175 · pith_short_12: PNG37R5HJKU4 · pith_short_16: PNG37R5HJKU4VOGK · pith_short_8: PNG37R5H

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/PNG37R5HJKU4VOGKH6YLW4GSNA \
  | 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: 7b4dbfc7a74aa9cab8ca3fb0bb70d2680d7af97c37d3ff55f32157e8f54d73d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17d6d01bffe5e02186c9d926cd2d49380c2b0caa12c36d5558b553a432fa946",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-13T17:23:50Z",
    "title_canon_sha256": "44db1668c54730e1ced19d98de8832a15fdd48d67eeca676f28b9f809bbe3fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06175",
    "kind": "arxiv",
    "version": 2
  }
}