Pith Number

pith:N5P752ZZ

pith:2026:N5P752ZZ3X2OIX2VOPDWEHZD3C

not attested not anchored not stored refs pending

Theory of learning of high-dimensional controlled non-linear dynamical systems (I): models and methods

Pierfrancesco Urbani

arxiv:2606.07247 v1 · 2026-06-05 · cond-mat.dis-nn · cond-mat.stat-mech · 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{N5P752ZZ3X2OIX2VOPDWEHZD3C}

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	2026-06-08T01:05:15.495745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5ffeeb39ddf4e45f5573c7621f23d8a30c88cec8428fe366bd71ba5ab18481

Aliases

arxiv: 2606.07247 · arxiv_version: 2606.07247v1 · doi: 10.48550/arxiv.2606.07247 · pith_short_12: N5P752ZZ3X2O · pith_short_16: N5P752ZZ3X2OIX2V · pith_short_8: N5P752ZZ

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/N5P752ZZ3X2OIX2VOPDWEHZD3C \
  | 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: 6f5ffeeb39ddf4e45f5573c7621f23d8a30c88cec8428fe366bd71ba5ab18481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6ccdb2faa99137abb931969379111f347a508d9966dc1316ba70438c5917b4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-05T13:17:18Z",
    "title_canon_sha256": "647aeee4bdbf1e836dd907b57226fc921d5a545da827a4bdfaa3c28bfbaaae0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07247",
    "kind": "arxiv",
    "version": 1
  }
}