Pith Number

pith:ZGBF53LE

pith:2017:ZGBF53LESEI5OG5EG2NJVNWTXR

not attested not anchored not stored refs pending

Deep learning for universal linear embeddings of nonlinear dynamics

Bethany Lusch, J. Nathan Kutz, Steven L. Brunton

arxiv:1712.09707 v2 · 2017-12-27 · math.DS · cs.LG · 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{ZGBF53LESEI5OG5EG2NJVNWTXR}

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.

Cited by

1 paper in Pith

Parallel-in-Time Training of Recurrent Neural Networks for Dynamical Systems Reconstruction

Receipt and verification

First computed	2026-05-17T23:52:08.185864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9825eed649111d71ba4369a9ab6d3bc6cef6ded15c8cef10c0904b5ff9d2ccc

Aliases

arxiv: 1712.09707 · arxiv_version: 1712.09707v2 · doi: 10.48550/arxiv.1712.09707 · pith_short_12: ZGBF53LESEI5 · pith_short_16: ZGBF53LESEI5OG5E · pith_short_8: ZGBF53LE

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/ZGBF53LESEI5OG5EG2NJVNWTXR \
  | 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: c9825eed649111d71ba4369a9ab6d3bc6cef6ded15c8cef10c0904b5ff9d2ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b91caa4d5836663e9aa63571506f90e2d0c5c90faea7358a3f03f56e1e7822",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-27T23:10:35Z",
    "title_canon_sha256": "205dbe251950012c2e2927211b9a264387f31f73c020da6375bca026f60efbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09707",
    "kind": "arxiv",
    "version": 2
  }
}