Pith Number

pith:CU4G7GHS

pith:2021:CU4G7GHSGWO2N7D6UEZP3WBUW4

not attested not anchored not stored refs pending

Training Multi-Layer Over-Parametrized Neural Network in Subquadratic Time

Lichen Zhang, Ruizhe Zhang, Zhao Song

arxiv:2112.07628 v2 · 2021-12-14 · cs.LG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU4G7GHSGWO2N7D6UEZP3WBUW4}

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

3 papers in Pith

DECO: Sparse Mixture-of-Experts with Dense-Comparable Performance on End-Side Devices

Receipt and verification

First computed	2026-07-05T07:15:43.158770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15386f98f2359da6fc7ea132fdd834b7309b990896fe37a01e71fa5151b2151b

Aliases

arxiv: 2112.07628 · arxiv_version: 2112.07628v2 · doi: 10.48550/arxiv.2112.07628 · pith_short_12: CU4G7GHSGWO2 · pith_short_16: CU4G7GHSGWO2N7D6 · pith_short_8: CU4G7GHS

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/CU4G7GHSGWO2N7D6UEZP3WBUW4 \
  | 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: 15386f98f2359da6fc7ea132fdd834b7309b990896fe37a01e71fa5151b2151b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c74f6cce12eb3bc65006428a4a14365941edb5896e79d919fd4ac78473a371",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-14T18:13:36Z",
    "title_canon_sha256": "e927efc2968bf22551b9ccdd62a7c885fd7f788c4e1b315e0392f6319d4cbdb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07628",
    "kind": "arxiv",
    "version": 2
  }
}