Pith Number

pith:46KJ3P5C

pith:2025:46KJ3P5CYNSAH5D3AD2YC4XYTR

not attested not anchored not stored refs pending

Emergence of Structure in Ensembles of Random Neural Networks

Alessio Fumagalli, Francesco Regazzoni, Giovanni Todeschini, Luca Muscarnera, Luigi Loreti

arxiv:2505.10331 v1 · 2025-05-15 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46KJ3P5CYNSAH5D3AD2YC4XYTR}

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	2026-07-05T11:03:37.054112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7949dbfa2c36403f47b00f58172f89c57b21b57cd6375a0ff2491452574bc24

Aliases

arxiv: 2505.10331 · arxiv_version: 2505.10331v1 · doi: 10.48550/arxiv.2505.10331 · pith_short_12: 46KJ3P5CYNSA · pith_short_16: 46KJ3P5CYNSAH5D3 · pith_short_8: 46KJ3P5C

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/46KJ3P5CYNSAH5D3AD2YC4XYTR \
  | 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: e7949dbfa2c36403f47b00f58172f89c57b21b57cd6375a0ff2491452574bc24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c3ec2e54147873d75a14e4c068d56737bea5014266aa04a0227b799a55d24c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-15T14:20:02Z",
    "title_canon_sha256": "c39b4d1e8a9d895d7fc07d587dc35f2065051116a11f96a2b6e637f21c226bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10331",
    "kind": "arxiv",
    "version": 1
  }
}