Pith Number

pith:25X6ZO74

pith:2024:25X6ZO74XWYHAYEJ3JIVQ64YAW

not attested not anchored not stored refs pending

Adaptive Batch Size Schedules for Distributed Training of Language Models with Data and Model Parallelism

Chenwei Xu, Han Liu, Mladen Kolar, Tim Tsz-Kit Lau, Weijian Li

arxiv:2412.21124 v2 · 2024-12-30 · cs.LG · 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{25X6ZO74XWYHAYEJ3JIVQ64YAW}

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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

1 paper in Pith

Convergence of Riemannian Stochastic Gradient Descents: Varying Batch Sizes And Nonstandard Batch Forming

Receipt and verification

First computed	2026-07-05T10:31:52.359930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76fecbbfcbdb0706089da51587b9805bc5637dc626aa9aa23d57813cbbd99c0

Aliases

arxiv: 2412.21124 · arxiv_version: 2412.21124v2 · doi: 10.48550/arxiv.2412.21124 · pith_short_12: 25X6ZO74XWYH · pith_short_16: 25X6ZO74XWYHAYEJ · pith_short_8: 25X6ZO74

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/25X6ZO74XWYHAYEJ3JIVQ64YAW \
  | 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: d76fecbbfcbdb0706089da51587b9805bc5637dc626aa9aa23d57813cbbd99c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf52e51bb146d2928ec0090580003154b70ee952f7288db6b946d96add21b30",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-30T17:55:28Z",
    "title_canon_sha256": "4621507e37f9afdde61b9056ef6d21e3ee21dc1b1114f231be4e2dd78449267d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21124",
    "kind": "arxiv",
    "version": 2
  }
}