Pith Number

pith:CF7RJSXA

pith:2021:CF7RJSXAUTXHSAR5LKNO4FRTF5

not attested not anchored not stored refs pending

A spectral-based analysis of the separation between two-layer neural networks and linear methods

Jihao Long, Lei Wu

arxiv:2108.04964 v2 · 2021-08-10 · stat.ML · 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{CF7RJSXAUTXHSAR5LKNO4FRTF5}

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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	2026-07-05T03:59:23.770511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117f14cae0a4ee79023d5a9aee16332f6d7d1993fd451a8b1f5cf7e01b4f4512

Aliases

arxiv: 2108.04964 · arxiv_version: 2108.04964v2 · doi: 10.48550/arxiv.2108.04964 · pith_short_12: CF7RJSXAUTXH · pith_short_16: CF7RJSXAUTXHSAR5 · pith_short_8: CF7RJSXA

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/CF7RJSXAUTXHSAR5LKNO4FRTF5 \
  | 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: 117f14cae0a4ee79023d5a9aee16332f6d7d1993fd451a8b1f5cf7e01b4f4512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e16b0cce61241f9e6eb9512ef6d5dc6177cc8400a031200a024c7f2ab03274",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-08-10T23:30:29Z",
    "title_canon_sha256": "59e2731b7774f39fbf84478d5c4b2b3e92df7896725a61d66527d8baa51a525f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04964",
    "kind": "arxiv",
    "version": 2
  }
}