Pith Number

pith:L4STFOJ5

pith:2025:L4STFOJ5PSKEYJUPIQO45F64YW

not attested not anchored not stored refs pending

Multi-population GAN Training: Analyzing Co-Evolutionary Algorithms

Jamal Toutouh, Walter P. Casas

arxiv:2507.13157 v1 · 2025-07-17 · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4STFOJ5PSKEYJUPIQO45F64YW}

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	2026-07-05T11:38:55.645726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2532b93d7c944c268f441dce97dcc59a068777905d50aece2a4abea06dc5ed

Aliases

arxiv: 2507.13157 · arxiv_version: 2507.13157v1 · doi: 10.48550/arxiv.2507.13157 · pith_short_12: L4STFOJ5PSKE · pith_short_16: L4STFOJ5PSKEYJUP · pith_short_8: L4STFOJ5

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/L4STFOJ5PSKEYJUPIQO45F64YW \
  | 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: 5f2532b93d7c944c268f441dce97dcc59a068777905d50aece2a4abea06dc5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2faf60180782326bfe168c3f9296c29ff4f42d789ae4e8925b729273526d9b17",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2025-07-17T14:19:17Z",
    "title_canon_sha256": "905aff326c3819d59599549dc1ca5298d45ab248fa29dd038d857f2863ee231a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13157",
    "kind": "arxiv",
    "version": 1
  }
}