Pith Number

pith:XLTAPJ3T

pith:2021:XLTAPJ3T7LOZKX5OCWLYB7Q6YJ

not attested not anchored not stored refs pending

Physics-informed neural networks with hard constraints for inverse design

Francesc Verdugo, Lu Lu, Raphael Pestourie, Steven G. Johnson, Wenjie Yao, Zhicheng Wang

arxiv:2102.04626 v1 · 2021-02-09 · physics.comp-ph · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLTAPJ3T7LOZKX5OCWLYB7Q6YJ}

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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

3 papers in Pith

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

Comparison of Trefftz-Based PINNs and Standard PINNs Focusing on Structure Preservation

AdamFLIP: Adaptive Momentum Feedback Linearization Optimization for Hard Constrained PINN Training

Receipt and verification

First computed	2026-07-05T03:48:39.356488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae607a773fadd955fae159780fe1ec2622a9d38cc02c18427ea89bb4c852f5e

Aliases

arxiv: 2102.04626 · arxiv_version: 2102.04626v1 · doi: 10.48550/arxiv.2102.04626 · pith_short_12: XLTAPJ3T7LOZ · pith_short_16: XLTAPJ3T7LOZKX5O · pith_short_8: XLTAPJ3T

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/XLTAPJ3T7LOZKX5OCWLYB7Q6YJ \
  | 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: bae607a773fadd955fae159780fe1ec2622a9d38cc02c18427ea89bb4c852f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205f98f1b80e10def08b27f3a529506e3627ab774c419f86df2b0485f6685d0a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-02-09T03:18:15Z",
    "title_canon_sha256": "236c68bd2d7ec324cf45ffbc92e066ca36cfa1e3f2f089165fe2b1e9303ef418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04626",
    "kind": "arxiv",
    "version": 1
  }
}