Pith Number

pith:LKKLNPAV

pith:2024:LKKLNPAVIWLRVUX5IVLATFIDXY

not attested not anchored not stored refs pending

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

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

arxiv:2412.20851 v1 · 2024-12-30 · 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{LKKLNPAVIWLRVUX5IVLATFIDXY}

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.

Receipt and verification

First computed	2026-07-05T09:55:23.620524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a94b6bc1545971ad2fd4556099503be2e4497a12a08c082fba1618eacbb782d

Aliases

arxiv: 2412.20851 · arxiv_version: 2412.20851v1 · doi: 10.48550/arxiv.2412.20851 · pith_short_12: LKKLNPAVIWLR · pith_short_16: LKKLNPAVIWLRVUX5 · pith_short_8: LKKLNPAV

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/LKKLNPAVIWLRVUX5IVLATFIDXY \
  | 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: 5a94b6bc1545971ad2fd4556099503be2e4497a12a08c082fba1618eacbb782d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a0767c068fb8ad7bfac84c8d0d0604cf63c3c2d5cef65606087a8fa07ca456",
    "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": "2024-12-30T10:42:28Z",
    "title_canon_sha256": "7dc278d512c9fe4ffb91448175356d962fae5f3dadc7a3b9956a4563b3e2f3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20851",
    "kind": "arxiv",
    "version": 1
  }
}