Pith Number

pith:KOYS66QC

pith:2024:KOYS66QCW3RIF53PFV7S3G44G2

not attested not anchored not stored refs pending

Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective

Malhar Vaishampayan, Stephan Wojtowytsch

arxiv:2412.07728 v1 · 2024-12-10 · math.AP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOYS66QCW3RIF53PFV7S3G44G2}

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	2026-07-05T09:47:14.434855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b12f7a02b6e282f76f2d7f2d9b9c3685bb3aafb6f22d73561dd7e75e5a02b4

Aliases

arxiv: 2412.07728 · arxiv_version: 2412.07728v1 · doi: 10.48550/arxiv.2412.07728 · pith_short_12: KOYS66QCW3RI · pith_short_16: KOYS66QCW3RIF53P · pith_short_8: KOYS66QC

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/KOYS66QCW3RIF53PFV7S3G44G2 \
  | 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: 53b12f7a02b6e282f76f2d7f2d9b9c3685bb3aafb6f22d73561dd7e75e5a02b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72a26f2d565a0643067bbbc87bc649c36ddbe2d4634981f5180bc5466a11f4a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-10T18:24:46Z",
    "title_canon_sha256": "c9493e66b032a6a02dc899bc1180c4767dcce61f5f9ffb63a6d962d435f180e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07728",
    "kind": "arxiv",
    "version": 1
  }
}