Pith Number

pith:VIJ5CH42

pith:2015:VIJ5CH426H45JUY5XCLYJWMPMD

not attested not anchored not stored refs pending

Solving the G-problems in less than 500 iterations: Improved efficient constrained optimization by surrogate modeling and adaptive parameter control

Michael Emmerich, Samineh Bagheri, Thomas B\"ack, Wolfgang Konen

arxiv:1512.09251 v1 · 2015-12-31 · math.OC · cs.NE · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIJ5CH426H45JUY5XCLYJWMPMD}

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	2026-05-18T01:23:32.874412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa13d11f9af1f9d4d31db89784d98f60c38aee751a42769254a4c5cf9ecc6c59

Aliases

arxiv: 1512.09251 · arxiv_version: 1512.09251v1 · doi: 10.48550/arxiv.1512.09251 · pith_short_12: VIJ5CH426H45 · pith_short_16: VIJ5CH426H45JUY5 · pith_short_8: VIJ5CH42

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/VIJ5CH426H45JUY5XCLYJWMPMD \
  | 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: aa13d11f9af1f9d4d31db89784d98f60c38aee751a42769254a4c5cf9ecc6c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a988e55435cc60c7dde8c65db349f51fbc5ea75b289aaf7c1d6289b0828959cb",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-31T10:30:21Z",
    "title_canon_sha256": "608d242b448e06bc49e3ad031d7ee89d031e23fe4a49ab0aaaddccac406d8b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09251",
    "kind": "arxiv",
    "version": 1
  }
}