Pith Number

pith:ZVFD7TXT

pith:2021:ZVFD7TXTS4KJKY3GRXW4D666B2

not attested not anchored not stored refs pending

How to Train Your Wide Neural Network Without Backprop: An Input-Weight Alignment Perspective

Akhilan Boopathy, Ila Fiete

arxiv:2106.08453 v2 · 2021-06-15 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVFD7TXTS4KJKY3GRXW4D666B2}

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.

Cited by

1 paper in Pith

Training neural networks without backpropagation using particles

Receipt and verification

First computed	2026-07-05T04:39:59.816121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4a3fcef397149563668dedc1fbde0ebd39c2eb481de9cd5705789dc4570d40

Aliases

arxiv: 2106.08453 · arxiv_version: 2106.08453v2 · doi: 10.48550/arxiv.2106.08453 · pith_short_12: ZVFD7TXTS4KJ · pith_short_16: ZVFD7TXTS4KJKY3G · pith_short_8: ZVFD7TXT

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/ZVFD7TXTS4KJKY3GRXW4D666B2 \
  | 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: cd4a3fcef397149563668dedc1fbde0ebd39c2eb481de9cd5705789dc4570d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c2d6546a478b7c681153daa55405ffb6a22ebcf25c2c09d0a92250b260507f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-15T21:56:38Z",
    "title_canon_sha256": "98c29a1981b5c354029c9ee3f99d5ade9290637d77b392570db1b9876f7efe53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08453",
    "kind": "arxiv",
    "version": 2
  }
}