Pith Number

pith:T7GDIBV3

pith:2026:T7GDIBV3M3AMB6VP62VFSDV3PM

not attested not anchored not stored refs pending

Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features

Karl H. Johansson, Matthieu Barreau, Miguel Aguiar, Yulun Wu

arxiv:2608.05892 v1 · 2026-08-06 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7GDIBV3M3AMB6VP62VFSDV3PM}

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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.

Receipt and verification

First computed	2026-08-07T00:53:13.065363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcc3406bb66c0c0faaff6aa590ebb7b17d800946c1d8de13623a409815ae973

Aliases

arxiv: 2608.05892 · arxiv_version: 2608.05892v1 · doi: 10.48550/arxiv.2608.05892 · pith_short_12: T7GDIBV3M3AM · pith_short_16: T7GDIBV3M3AMB6VP · pith_short_8: T7GDIBV3

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/T7GDIBV3M3AMB6VP62VFSDV3PM \
  | 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: 9fcc3406bb66c0c0faaff6aa590ebb7b17d800946c1d8de13623a409815ae973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6baaa9e39ec9e71d2fe8d2acae19296876f209edebc2926a9ae9b520cf0f402a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-06T11:18:10Z",
    "title_canon_sha256": "fdd663bb7bf46df57575fd3c02c4ec350e3bbe76435ff46ed10628f7dc75a065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05892",
    "kind": "arxiv",
    "version": 1
  }
}