Pith Number

pith:X3NNQ7AQ

pith:2026:X3NNQ7AQKJAJXRSX2N5ILL7SOO

not attested not anchored not stored refs pending

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

Abdelrahman W. Elsayed, Amany M. Kamal, Amir H. M. Labeb, Basmala Sallam, Islam I. Abdulaal, Omar A. M. Abdelraouf

arxiv:2606.21945 v1 · 2026-06-20 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3NNQ7AQKJAJXRSX2N5ILL7SOO}

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

Giant Second-Harmonic Generation in 3R-MoS2/MLM Hybrid Metasurfaces Cavities

Receipt and verification

First computed	2026-06-23T02:13:03.845148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bedad87c1052409bc657d37a85aff2738adad6ff41c3edc6276b3ba1f5b41822

Aliases

arxiv: 2606.21945 · arxiv_version: 2606.21945v1 · doi: 10.48550/arxiv.2606.21945 · pith_short_12: X3NNQ7AQKJAJ · pith_short_16: X3NNQ7AQKJAJXRSX · pith_short_8: X3NNQ7AQ

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/X3NNQ7AQKJAJXRSX2N5ILL7SOO \
  | 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: bedad87c1052409bc657d37a85aff2738adad6ff41c3edc6276b3ba1f5b41822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019473e4dc1d95c308d5b0ceb4ac4c7772a09fe4ade9489304193bc73cc0df5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-20T08:21:16Z",
    "title_canon_sha256": "f6bbf13beef1217ce93c6fb8c535523712496aa681328a458c084e8d18bba3c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21945",
    "kind": "arxiv",
    "version": 1
  }
}