Pith Number

pith:ER353KTM

pith:2020:ER353KTMMJGZRI4O4KXT5BQ2X3

not attested not anchored not stored refs pending

When and why PINNs fail to train: A neural tangent kernel perspective

Paris Perdikaris, Sifan Wang, Xinling Yu

arxiv:2007.14527 v1 · 2020-07-28 · cs.LG · cs.NA · math.NA · 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{ER353KTMMJGZRI4O4KXT5BQ2X3}

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

5 papers in Pith

Neural Architectures as Functional Priors in Physics-Informed Control Problems

Neural Spectral Element Methods for stiff multiphysics PDEs with electrochemical transport benchmarks

Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics

Bayesian Reasoning for Physics Informed Neural Networks

Man, Machine, and Mathematics

Receipt and verification

First computed	2026-07-05T01:23:16.478191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2477ddaa6c624d98a38ee2af3e861abeee5a668eb450234e4d9d0872b8715ee7

Aliases

arxiv: 2007.14527 · arxiv_version: 2007.14527v1 · doi: 10.48550/arxiv.2007.14527 · pith_short_12: ER353KTMMJGZ · pith_short_16: ER353KTMMJGZRI4O · pith_short_8: ER353KTM

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/ER353KTMMJGZRI4O4KXT5BQ2X3 \
  | 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: 2477ddaa6c624d98a38ee2af3e861abeee5a668eb450234e4d9d0872b8715ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870cb48e2f30af118cdda0e613fd0946562c3c499e48562e3454ef48ca5c5398",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-07-28T23:44:56Z",
    "title_canon_sha256": "263f27c2733734c4765a2128a036f288484b0fe3c03a024e0b15ab00eaf88747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14527",
    "kind": "arxiv",
    "version": 1
  }
}