Pith Number

pith:46LSEQAE

pith:2020:46LSEQAEUAC4MGM6IUA43QT2E5

not attested not anchored not stored refs pending

Certified Global Minima for a Benchmark of Difficult Optimization Problems

Charlie Vanaret, Jean-Baptiste Gotteland, Jean-Marc Alliot, Nicolas Durand

arxiv:2003.09867 v1 · 2020-03-22 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46LSEQAEUAC4MGM6IUA43QT2E5}

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	2026-07-05T00:49:47.659419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e797224004a005c6199e4501cdc27a2774164e50f9b7d5ecd69f8e6625373160

Aliases

arxiv: 2003.09867 · arxiv_version: 2003.09867v1 · doi: 10.48550/arxiv.2003.09867 · pith_short_12: 46LSEQAEUAC4 · pith_short_16: 46LSEQAEUAC4MGM6 · pith_short_8: 46LSEQAE

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/46LSEQAEUAC4MGM6IUA43QT2E5 \
  | 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: e797224004a005c6199e4501cdc27a2774164e50f9b7d5ecd69f8e6625373160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56213496a388ef7991c5346448ac83f2a3ae560c6b6aa2eaaee7c4621066096b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-03-22T11:45:47Z",
    "title_canon_sha256": "88cced266f97cf80d7335cc93420bfa83c6fc9abd3c3581e1adb9d65930d56a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09867",
    "kind": "arxiv",
    "version": 1
  }
}