Pith Number

pith:H3C7LZEO

pith:2025:H3C7LZEO7JT7IB2E2B4XBZ2265

not attested not anchored not stored refs pending

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization

Giovanni Samaey, Michael Herty, William De Deyn

arxiv:2511.21466 v3 · 2025-11-26 · cs.LG · 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{H3C7LZEO7JT7IB2E2B4XBZ2265}

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	2026-07-01T01:17:43.430896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec5f5e48efa67f40744d07970e75af76c17b9b8602fc3ef2b0afe867d49f177

Aliases

arxiv: 2511.21466 · arxiv_version: 2511.21466v3 · doi: 10.48550/arxiv.2511.21466 · pith_short_12: H3C7LZEO7JT7 · pith_short_16: H3C7LZEO7JT7IB2E · pith_short_8: H3C7LZEO

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/H3C7LZEO7JT7IB2E2B4XBZ2265 \
  | 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: 3ec5f5e48efa67f40744d07970e75af76c17b9b8602fc3ef2b0afe867d49f177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49180b6e66d5e3dfac3046736a60a3fedf14443e861a6ba4402f43029f3d95f4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-26T14:58:07Z",
    "title_canon_sha256": "688a610d37ab9d87257156b170e12fe39aa91cd815036b3273afc8f88b0c389f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.21466",
    "kind": "arxiv",
    "version": 3
  }
}