Pith Number

pith:3Z66EMZ4

pith:2020:3Z66EMZ4DN6DGMWPXATBRWGB2T

not attested not anchored not stored refs pending

Understanding and mitigating gradient pathologies in physics-informed neural networks

Paris Perdikaris, Sifan Wang, Yujun Teng

arxiv:2001.04536 v1 · 2020-01-13 · cs.LG · cs.NA · math.NA · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z66EMZ4DN6DGMWPXATBRWGB2T}

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

9 papers in Pith

Bayesian Reasoning for Physics Informed Neural Networks

Physics-Informed Generative Solver: Bridging Data-Driven Priors and Conservation Laws for Stable Spatiotemporal Field Reconstruction

StableGrad: Backward Scale Control without Batch Normalization

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning

Universal Differential Equations for Scientific Machine Learning

Receipt and verification

First computed	2026-07-05T00:33:26.615799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7de2333c1b7c3332cfb82618d8c1d4d27e0e543ceb4242546c54b37eeb312d

Aliases

arxiv: 2001.04536 · arxiv_version: 2001.04536v1 · doi: 10.48550/arxiv.2001.04536 · pith_short_12: 3Z66EMZ4DN6D · pith_short_16: 3Z66EMZ4DN6DGMWP · pith_short_8: 3Z66EMZ4

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/3Z66EMZ4DN6DGMWPXATBRWGB2T \
  | 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: de7de2333c1b7c3332cfb82618d8c1d4d27e0e543ceb4242546c54b37eeb312d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9440e9ab7b0d7789428a0b4000835f7d94067a657d31df260f1b8bb0d4e59eca",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-01-13T21:23:49Z",
    "title_canon_sha256": "f0b2e0996295edb209d4dca261b6f316a6139349646b58ede172fb9aaba8e4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04536",
    "kind": "arxiv",
    "version": 1
  }
}