Pith Number

pith:H3YR6JVA

pith:2021:H3YR6JVAWSNETQ2JN4ENPJP66E

not attested not anchored not stored refs pending

Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on H\"older Class

Fengru Wang, Jerry Zhijian Yang, Xiliang Lu, Yanming Lai, Yuanyuan Yang, Yuling Jiao

arxiv:2103.00542 v6 · 2021-02-28 · cs.LG · cs.NA · cs.NE · math.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{H3YR6JVAWSNETQ2JN4ENPJP66E}

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	2026-07-05T04:48:06.622341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef11f26a0b49a49c3496f08d7a5fef10e32e84a1cf851eeb1ce2b860466a75c

Aliases

arxiv: 2103.00542 · arxiv_version: 2103.00542v6 · doi: 10.48550/arxiv.2103.00542 · pith_short_12: H3YR6JVAWSNE · pith_short_16: H3YR6JVAWSNETQ2J · pith_short_8: H3YR6JVA

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/H3YR6JVAWSNETQ2JN4ENPJP66E \
  | 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: 3ef11f26a0b49a49c3496f08d7a5fef10e32e84a1cf851eeb1ce2b860466a75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf4e8a64f1e226534203edda036f3cef6872ca718f0f01cbc08020272a898e02",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.NE",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-28T15:57:42Z",
    "title_canon_sha256": "672b759af7ab34fa899c332230c1915af7285c5ce5c156f10cbdf01caab91807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00542",
    "kind": "arxiv",
    "version": 6
  }
}