Pith Number

pith:MJNSP2MS

pith:2025:MJNSP2MSW7S5WYDCPRP2Z3DLAH

not attested not anchored not stored refs pending

Optimal Embedding Learning Rate in LLMs: The Effect of Vocabulary Size

Liyuan Liu, Soufiane Hayou

arxiv:2506.15025 v1 · 2025-06-17 · cs.LG · cs.AI · cs.CL · 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{MJNSP2MSW7S5WYDCPRP2Z3DLAH}

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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

3 papers in Pith

One LR Doesn't Fit All: Heavy-Tail Guided Layerwise Learning Rates for LLMs

Quantifying Hyperparameter Transfer and the Importance of Embedding Layer Learning Rate

Receipt and verification

First computed	2026-07-05T11:23:35.734835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625b27e992b7e5db60627c5facec6b01eacc3d118d3dd3814847872d736fce3c

Aliases

arxiv: 2506.15025 · arxiv_version: 2506.15025v1 · doi: 10.48550/arxiv.2506.15025 · pith_short_12: MJNSP2MSW7S5 · pith_short_16: MJNSP2MSW7S5WYDC · pith_short_8: MJNSP2MS

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/MJNSP2MSW7S5WYDCPRP2Z3DLAH \
  | 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: 625b27e992b7e5db60627c5facec6b01eacc3d118d3dd3814847872d736fce3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d91185da0c7126caae37684885d3f2673b6bff43f69cfc3bffab73acc8cf3da",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-17T23:57:30Z",
    "title_canon_sha256": "313722b1ffa0f2b5135ac071d3359579e03a450aeeaa1ded1c14f3bccb69d09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15025",
    "kind": "arxiv",
    "version": 1
  }
}