Pith Number

pith:CV57W7OJ

pith:2021:CV57W7OJB4CV6FBCUKKTU35MGP

not attested not anchored not stored refs pending

When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?

Ameya D. Jagtap, George Em Karniadakis, Kenji Kawaguchi, Zheyuan Hu

arxiv:2109.09444 v7 · 2021-09-20 · cs.LG · cs.NA · math.DS · math.NA · stat.ML

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\usepackage{pith}
\pithnumber{CV57W7OJB4CV6FBCUKKTU35MGP}

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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

4 papers in Pith

Beyond Data-Driven: How Physics-Informed Neural Networks are Reshaping Multi-Physics Design and Discovery

Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements

Adaptive Domain Decomposition Physics-Informed Neural Networks for Traffic State Estimation with Sparse Sensor Data

Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD

Receipt and verification

First computed	2026-07-05T05:07:34.921939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157bfb7dc90f055f1422a2953a6fac33e1c76ae192b86f2b3190610dbe82d2a4

Aliases

arxiv: 2109.09444 · arxiv_version: 2109.09444v7 · doi: 10.48550/arxiv.2109.09444 · pith_short_12: CV57W7OJB4CV · pith_short_16: CV57W7OJB4CV6FBC · pith_short_8: CV57W7OJ

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/CV57W7OJB4CV6FBCUKKTU35MGP \
  | 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: 157bfb7dc90f055f1422a2953a6fac33e1c76ae192b86f2b3190610dbe82d2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77b903aff0fa14ae77e5a2fb73e6f5aaddff743e11af593c41776166856f885",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-09-20T12:03:12Z",
    "title_canon_sha256": "af6a2a480fa1647c880b141e8599a3067aae721abc623ebc2c8852a374d702d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09444",
    "kind": "arxiv",
    "version": 7
  }
}