Pith Number

pith:2M34OAKS

pith:2023:2M34OAKSOHBDWN7N3OWYWHQ6YQ

not attested not anchored not stored refs pending

Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs

George Em Karniadakis, Kenji Kawaguchi, Yezhen Wang, Zheyuan Hu, Zhouhao Yang

arxiv:2311.15283 v1 · 2023-11-26 · cs.LG · cs.AI · cs.NA · math.DS · 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{2M34OAKSOHBDWN7N3OWYWHQ6YQ}

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

ProPINN: Demystifying Propagation Failures in Physics-Informed Neural Networks

Receipt and verification

First computed	2026-07-05T07:17:01.221449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d337c7015271c23b37eddbad8b1e1ec43e6ce5105c213f0d67b598a66aff2fcd

Aliases

arxiv: 2311.15283 · arxiv_version: 2311.15283v1 · doi: 10.48550/arxiv.2311.15283 · pith_short_12: 2M34OAKSOHBD · pith_short_16: 2M34OAKSOHBDWN7N · pith_short_8: 2M34OAKS

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/2M34OAKSOHBDWN7N3OWYWHQ6YQ \
  | 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: d337c7015271c23b37eddbad8b1e1ec43e6ce5105c213f0d67b598a66aff2fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838a3b5f4394f84020b83289ce0f4301e580440834648254e26a42a41ff182b5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.DS",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-26T12:50:28Z",
    "title_canon_sha256": "4c5806927c56b98445a8be589c96daa9703456fe4cd74a3b8080103f270b72e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15283",
    "kind": "arxiv",
    "version": 1
  }
}