Pith Number

pith:IH7WUNTU

pith:2026:IH7WUNTUIVQWGOTD3L5UBF4C33

not attested not anchored not stored refs pending

Limitations of Learning Tanh Neural Networks with Finite Precision

Mat\v{e}j Tr\"odler, Philipp Grohs

arxiv:2606.11104 v1 · 2026-06-09 · cs.LG · 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{IH7WUNTUIVQWGOTD3L5UBF4C33}

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	2026-06-10T01:11:10.466512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ff6a36744561633a63dafb409782defbc89f2348e972784079c615df53f8dd

Aliases

arxiv: 2606.11104 · arxiv_version: 2606.11104v1 · doi: 10.48550/arxiv.2606.11104 · pith_short_12: IH7WUNTUIVQW · pith_short_16: IH7WUNTUIVQWGOTD · pith_short_8: IH7WUNTU

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/IH7WUNTUIVQWGOTD3L5UBF4C33 \
  | 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: 41ff6a36744561633a63dafb409782defbc89f2348e972784079c615df53f8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1dd8b05cd33e3b3af3877aa646a1ce87d7e1ad7dc98129838abc6695cf30a6",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T17:02:27Z",
    "title_canon_sha256": "c783e2f7b0f682d5fb7c02de58af77e21aa3556bfeaf164011483a5b70b14f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11104",
    "kind": "arxiv",
    "version": 1
  }
}