Pith Number

pith:BY7YXBVB

pith:2019:BY7YXBVB5ZGLJEP43Q6ZG736CA

not attested not anchored not stored refs pending

On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

Elisa Riccietti, Henri Calandra, Serge Gratton, Xavier Vasseur

arxiv:1904.04685 v1 · 2019-04-09 · math.NA · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY7YXBVB5ZGLJEP43Q6ZG736CA}

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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	2026-05-17T23:48:58.430453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3f8b86a1ee4cb491fcdc3d937f7e10039f8cee8b34ab265b678515bfbac93d

Aliases

arxiv: 1904.04685 · arxiv_version: 1904.04685v1 · doi: 10.48550/arxiv.1904.04685 · pith_short_12: BY7YXBVB5ZGL · pith_short_16: BY7YXBVB5ZGLJEP4 · pith_short_8: BY7YXBVB

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/BY7YXBVB5ZGLJEP43Q6ZG736CA \
  | 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: 0e3f8b86a1ee4cb491fcdc3d937f7e10039f8cee8b34ab265b678515bfbac93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f783b8b6e8038fc465647f4ad33b724d3e504bc3aa16e231b0deac7ed4186968",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-04-09T14:10:26Z",
    "title_canon_sha256": "d2d9f8d8d453503a22a2e5501890be1bc60becd3177e0b603047fb7ba0478af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04685",
    "kind": "arxiv",
    "version": 1
  }
}