Pith Number

pith:YAPE3GFI

pith:2022:YAPE3GFIDE7AMKXRKMQZFWG4OO

not attested not anchored not stored refs pending

A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations

Karsten Urban, Lewin Ernst

arxiv:2212.08389 v1 · 2022-12-16 · math.NA · cs.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{YAPE3GFIDE7AMKXRKMQZFWG4OO}

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

Expansive Natural Neural Gradient Flows for Energy Minimization

Receipt and verification

First computed	2026-07-05T05:25:56.670405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01e4d98a8193e062af1532192d8dc73b6eae509e12178323a04daac5da31ca6

Aliases

arxiv: 2212.08389 · arxiv_version: 2212.08389v1 · doi: 10.48550/arxiv.2212.08389 · pith_short_12: YAPE3GFIDE7A · pith_short_16: YAPE3GFIDE7AMKXR · pith_short_8: YAPE3GFI

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/YAPE3GFIDE7AMKXRKMQZFWG4OO \
  | 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: c01e4d98a8193e062af1532192d8dc73b6eae509e12178323a04daac5da31ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258d255b5d3a27c73ca0327c52fa52586a741c8f7b4ef7f47366c809620c44ec",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-12-16T10:31:44Z",
    "title_canon_sha256": "ec85b4474e3279cd3cb53d9c56d8c0b5c1e25a48f4215f4b4ecc12e45f544951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08389",
    "kind": "arxiv",
    "version": 1
  }
}