Pith Number

pith:KEF6OGPD

pith:2025:KEF6OGPDL5XMMCZAOIHHQPFFNV

not attested not anchored not stored refs pending

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics

Francesco Martinuzzi

arxiv:2507.06050 v1 · 2025-07-08 · nlin.CD · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEF6OGPDL5XMMCZAOIHHQPFFNV}

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	2026-07-05T11:33:40.688082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510be719e35f6ec60b20720e783ca56d53e8e4a89eb2af02e84a6b879f25e3c7

Aliases

arxiv: 2507.06050 · arxiv_version: 2507.06050v1 · doi: 10.48550/arxiv.2507.06050 · pith_short_12: KEF6OGPDL5XM · pith_short_16: KEF6OGPDL5XMMCZA · pith_short_8: KEF6OGPD

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/KEF6OGPDL5XMMCZAOIHHQPFFNV \
  | 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: 510be719e35f6ec60b20720e783ca56d53e8e4a89eb2af02e84a6b879f25e3c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74005b09e563268ae1ea6220348a07e8596ae90fb4224728b7d5062d4c8d8db3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2025-07-08T14:51:33Z",
    "title_canon_sha256": "080c9551b7d04499eb8b36ce8ccfeb2d00a7eb860a6ba60012b12bd314bf4897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06050",
    "kind": "arxiv",
    "version": 1
  }
}