Pith Number

pith:XJBBNVVW

pith:2020:XJBBNVVWSTMB7YGKQTDODPM6RE

not attested not anchored not stored refs pending

Towards Understanding Ensemble, Knowledge Distillation and Self-Distillation in Deep Learning

Yuanzhi Li, Zeyuan Allen-Zhu

arxiv:2012.09816 v3 · 2020-12-17 · cs.LG · cs.NE · math.OC · 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{XJBBNVVWSTMB7YGKQTDODPM6RE}

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

12 papers in Pith

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime

Muon Learns More Robust and Transferable Features than Adam

Quantifying and Defending against the Privacy Risk in Logit-based Federated Learning

TinyStories: How Small Can Language Models Be and Still Speak Coherent English?

Easy Ensemble: Simple Deep Ensemble Learning for Sensor-Based Human Activity Recognition

Receipt and verification

First computed	2026-07-05T05:41:59.930124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4216d6b694d81fe0ca84c6e1bd9e8918183a7f396241be09177fb220e78ffa

Aliases

arxiv: 2012.09816 · arxiv_version: 2012.09816v3 · doi: 10.48550/arxiv.2012.09816 · pith_short_12: XJBBNVVWSTMB · pith_short_16: XJBBNVVWSTMB7YGK · pith_short_8: XJBBNVVW

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/XJBBNVVWSTMB7YGKQTDODPM6RE \
  | 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: ba4216d6b694d81fe0ca84c6e1bd9e8918183a7f396241be09177fb220e78ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc92c7c77c321d2e375bd6f083267cc522e96ccbb4e05f3b2bd2596f4b965c7",
    "cross_cats_sorted": [
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-17T18:34:45Z",
    "title_canon_sha256": "8f013ec81032165aff59e014868038faac29556c38f381019e701efe4ff61980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09816",
    "kind": "arxiv",
    "version": 3
  }
}