Pith Number

pith:AK4BLNAI

pith:2019:AK4BLNAI37LKMXSMWBDCIWNA5I

not attested not anchored not stored refs pending

Efficient Per-Example Gradient Computations in Convolutional Neural Networks

Andre Manoel, Eric W. Tramel, Gaspar Rochette

arxiv:1912.06015 v1 · 2019-12-12 · cs.LG · cs.CV · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK4BLNAI37LKMXSMWBDCIWNA5I}

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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.

Cited by

1 paper in Pith

Spectral Reach: Understanding Neural Scaling as Progress into the Spectral Tail

Receipt and verification

First computed	2026-07-05T01:51:38.090632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b815b408dfd6a65e4cb0462459a0ea3473ccc3878c157b69ebfeb7b81d881f

Aliases

arxiv: 1912.06015 · arxiv_version: 1912.06015v1 · doi: 10.48550/arxiv.1912.06015 · pith_short_12: AK4BLNAI37LK · pith_short_16: AK4BLNAI37LKMXSM · pith_short_8: AK4BLNAI

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/AK4BLNAI37LKMXSMWBDCIWNA5I \
  | 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: 02b815b408dfd6a65e4cb0462459a0ea3473ccc3878c157b69ebfeb7b81d881f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf7b5641f50c33da8816698dd34e873e78aa489bebcacada3d2ca37c3cdd42e",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-12-12T15:10:14Z",
    "title_canon_sha256": "9cbea79efaefa59ab97c680923aebe0c7e0b678d416203d9f9cd28e41e96c5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06015",
    "kind": "arxiv",
    "version": 1
  }
}