Pith Number

pith:COB7HH6H

pith:2024:COB7HH6HWADJKMQ65BCLONGCVC

not attested not anchored not stored refs pending

Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Models

Alan Milligan, Alberto Bietti, Frederik Kunstner, Mark Schmidt, Robin Yadav

arxiv:2402.19449 v2 · 2024-02-29 · cs.LG · cs.CL · 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{COB7HH6HWADJKMQ65BCLONGCVC}

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

Cornerstones or Stumbling Blocks? Deciphering the Rock Tokens in On-Policy Distillation

Receipt and verification

First computed	2026-07-05T08:43:08.867070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1383f39fc7b00695321ee844b734c2a8b83ac7bb2d2b5f55e627e1ee8909173d

Aliases

arxiv: 2402.19449 · arxiv_version: 2402.19449v2 · doi: 10.48550/arxiv.2402.19449 · pith_short_12: COB7HH6HWADJ · pith_short_16: COB7HH6HWADJKMQ6 · pith_short_8: COB7HH6H

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/COB7HH6HWADJKMQ65BCLONGCVC \
  | 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: 1383f39fc7b00695321ee844b734c2a8b83ac7bb2d2b5f55e627e1ee8909173d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ca9f6ef3a45a0a529a374ced6bdee2057accf1be1a040704d6a0022e66f62a",
    "cross_cats_sorted": [
      "cs.CL",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-29T18:47:52Z",
    "title_canon_sha256": "fbf939afc9c4ddcbb6611a0f3a3b30ce6a28d766294be4b33e869daa812d0713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.19449",
    "kind": "arxiv",
    "version": 2
  }
}