Pith. sign in
Pith Number

pith:C3MHRSUX

pith:2025:C3MHRSUXDGM7FN7M2OWQFVBJWJ
not attested not anchored not stored refs pending

$\mathcal{C}^1$-approximation with rational functions and rational neural networks

Erion Morina, Martin Holler

arxiv:2508.19672 v1 · 2025-08-27 · cs.LG · cs.IT · cs.NA · math.IT · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C3MHRSUXDGM7FN7M2OWQFVBJWJ}

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

Receipt and verification
First computed 2026-07-05T12:00:16.237032Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

16d878ca971999f2b7ecd3ad02d429b27a54d347b43750834562ded392dcd2a8

Aliases

arxiv: 2508.19672 · arxiv_version: 2508.19672v1 · doi: 10.48550/arxiv.2508.19672 · pith_short_12: C3MHRSUXDGM7 · pith_short_16: C3MHRSUXDGM7FN7M · pith_short_8: C3MHRSUX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C3MHRSUXDGM7FN7M2OWQFVBJWJ \
  | 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: 16d878ca971999f2b7ecd3ad02d429b27a54d347b43750834562ded392dcd2a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3a2c740e0a5bf3c837457f3fbbaeeb042a23d90fde330a7cac558550e332719a",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-27T08:31:25Z",
    "title_canon_sha256": "6164b15c315c2759e04664f60cb91ebc234cd0a5ac53762761ae0361e74b357a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19672",
    "kind": "arxiv",
    "version": 1
  }
}