Pith Number

pith:O34EFEUE

pith:2025:O34EFEUEOUS7S7RI5U2VTFVI4K

not attested not anchored not stored refs pending

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks

Jan P. Williams, J. Nathan Kutz, Mars Liyao Gao

arxiv:2501.13329 v2 · 2025-01-23 · cs.LG · cs.AI · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O34EFEUEOUS7S7RI5U2VTFVI4K}

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

3 papers in Pith

Learning Control-Affine Reduced-Order Models via Autoencoders

Multi-Fidelity Learning with Shallow Recurrent Decoders for Multi-Physics Applications

Fast and principled equation discovery from chaos to climate

Receipt and verification

First computed	2026-07-05T10:42:14.666894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f84292847525f97e28ed355996a8e2948891f625b1016b1bc317b834e69854

Aliases

arxiv: 2501.13329 · arxiv_version: 2501.13329v2 · doi: 10.48550/arxiv.2501.13329 · pith_short_12: O34EFEUEOUS7 · pith_short_16: O34EFEUEOUS7S7RI · pith_short_8: O34EFEUE

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/O34EFEUEOUS7S7RI5U2VTFVI4K \
  | 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: 76f84292847525f97e28ed355996a8e2948891f625b1016b1bc317b834e69854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3621d8fbf25c5ddcddbe3cb31db8ec5279698d0a30a4941972ef04bc5ed5a40",
    "cross_cats_sorted": [
      "cs.AI",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-23T02:18:13Z",
    "title_canon_sha256": "0bf702f289de4f9b8502f34c4fb7bd5a343cf426d3593de3682379102f010dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13329",
    "kind": "arxiv",
    "version": 2
  }
}