Pith Number

pith:ZZL2Y2QI

pith:2025:ZZL2Y2QIFMJNAM3R2GOHFNY5Y6

not attested not anchored not stored refs pending

Understanding Two-Layer Neural Networks with Smooth Activation Functions

Changcun Huang

arxiv:2507.14177 v1 · 2025-07-11 · cs.LG · cs.AI · cs.NA · 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{ZZL2Y2QIFMJNAM3R2GOHFNY5Y6}

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	2026-07-05T11:39:30.188217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce57ac6a082b12d03371d19c72b71dc7a872aa31612684c55bf8660adf90b661

Aliases

arxiv: 2507.14177 · arxiv_version: 2507.14177v1 · doi: 10.48550/arxiv.2507.14177 · pith_short_12: ZZL2Y2QIFMJN · pith_short_16: ZZL2Y2QIFMJNAM3R · pith_short_8: ZZL2Y2QI

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/ZZL2Y2QIFMJNAM3R2GOHFNY5Y6 \
  | 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: ce57ac6a082b12d03371d19c72b71dc7a872aa31612684c55bf8660adf90b661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d17d703ec6774c6628569208ad8cab5fc533e4d1617ab91d3ba5533c7c59792",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-11T01:55:07Z",
    "title_canon_sha256": "fd264aca43f6f4f52da8ef8d888c510f049314bc2e30f82dafa492a3a1c51cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14177",
    "kind": "arxiv",
    "version": 1
  }
}