Pith Number

pith:D6567CEB

pith:2019:D6567CEBSYXIPM7E7XUEMVQWSC

not attested not anchored not stored refs pending

Approximation Rates for Neural Networks with General Activation Functions

Jinchao Xu, Jonathan W. Siegel

arxiv:1904.02311 v7 · 2019-04-04 · math.CA · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6567CEBSYXIPM7E7XUEMVQWSC}

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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	2026-07-05T02:04:03.084745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbbef8881962e87b3e4fde846561690bdeaa04fa5944abf7cd572edd73cdc12

Aliases

arxiv: 1904.02311 · arxiv_version: 1904.02311v7 · doi: 10.48550/arxiv.1904.02311 · pith_short_12: D6567CEBSYXI · pith_short_16: D6567CEBSYXIPM7E · pith_short_8: D6567CEB

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/D6567CEBSYXIPM7E7XUEMVQWSC \
  | 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: 1fbbef8881962e87b3e4fde846561690bdeaa04fa5944abf7cd572edd73cdc12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39870f4f7756edf9ddc30538750e4dbd02bafc57b2c1c4478247f8f877dca2f5",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-04T02:18:08Z",
    "title_canon_sha256": "2490c4c1492b19f69d5f382afd0e5b522bfcf4b6addd9fa7b264e1fceab04400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02311",
    "kind": "arxiv",
    "version": 7
  }
}