Pith Number

pith:CLLVJRXS

pith:2024:CLLVJRXS337J6PVT5ADG5HV5LK

not attested not anchored not stored refs pending

Are Two Hidden Layers Still Enough for the Physics-Informed Neural Networks?

Alexey O. Malkhanov, Mikhail E. Smorkalov, Vasiliy A. Es'kin

arxiv:2412.19235 v1 · 2024-12-26 · math.NA · cs.AI · cs.LG · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLLVJRXS337J6PVT5ADG5HV5LK}

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

About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks

Receipt and verification

First computed	2026-07-05T11:32:22.510878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d754c6f2defe9f3eb3e8066e9ebd5a9fa999ec63cf6539145f8ed8f464710e

Aliases

arxiv: 2412.19235 · arxiv_version: 2412.19235v1 · doi: 10.48550/arxiv.2412.19235 · pith_short_12: CLLVJRXS337J · pith_short_16: CLLVJRXS337J6PVT · pith_short_8: CLLVJRXS

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/CLLVJRXS337J6PVT5ADG5HV5LK \
  | 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: 12d754c6f2defe9f3eb3e8066e9ebd5a9fa999ec63cf6539145f8ed8f464710e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a895584459475c97ce2c41c4da4171a66349b6888111e121edaf52fe75310bc0",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-26T14:30:54Z",
    "title_canon_sha256": "97978af8253da01498687a75d00a272d8d3d07419d56ada49f75df804c1df48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19235",
    "kind": "arxiv",
    "version": 1
  }
}