Pith Number

pith:TYGAUROE

pith:2018:TYGAUROEQVVU2UN3TLQCI5D5UV

not attested not anchored not stored refs pending

Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems

George Em Karniadakis, Maziar Raissi, Paris Perdikaris

arxiv:1801.01236 v1 · 2018-01-04 · math.DS · math.NA · nlin.CD · physics.comp-ph · 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{TYGAUROEQVVU2UN3TLQCI5D5UV}

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

12 papers in Pith

Neural Network Compression by Approximate Differential Equivalence

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error

Dynamics-Encoded Deep Learning for Robust System Identification and Parameter Estimation

Artifacts of Numerical Integration in Learning Dynamical Systems

Universal Differential Equations for Scientific Machine Learning

Receipt and verification

First computed	2026-05-18T00:26:42.667745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0c0a45c4856b4d51bb9ae024747da5410b56c5216f465ecda948730db88034

Aliases

arxiv: 1801.01236 · arxiv_version: 1801.01236v1 · doi: 10.48550/arxiv.1801.01236 · pith_short_12: TYGAUROEQVVU · pith_short_16: TYGAUROEQVVU2UN3 · pith_short_8: TYGAUROE

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/TYGAUROEQVVU2UN3TLQCI5D5UV \
  | 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: 9e0c0a45c4856b4d51bb9ae024747da5410b56c5216f465ecda948730db88034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc6a31d86b3a38e9cbf54aa7aa4ca83d2b74879c613fac3de9f24a643fa205b",
    "cross_cats_sorted": [
      "math.NA",
      "nlin.CD",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-04T03:27:07Z",
    "title_canon_sha256": "6ec7183662f62250171e1e9d4e1057afd051781acb9be670bb24f2d4983d7940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01236",
    "kind": "arxiv",
    "version": 1
  }
}