Pith Number

pith:3HCPPE6O

pith:2024:3HCPPE6O2R3GH2WYL7C23QZEA3

not attested not anchored not stored refs pending

$M^3$ Scaling Law: Optimizing Multi-Epoch, Multi-Lingual, and Multi-Stage Training for Low-Resource Language Models

Kosuke Akimoto, Masafumi Oyamada, Taiki Miyagawa

arxiv:2410.12325 v2 · 2024-10-16 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HCPPE6O2R3GH2WYL7C23QZEA3}

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.

Receipt and verification

First computed	2026-06-02T02:04:45.137190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c4f793ced47663ead85fc5adc32406ce0d82793b62a510cd2e3a79efc62d01

Aliases

arxiv: 2410.12325 · arxiv_version: 2410.12325v2 · doi: 10.48550/arxiv.2410.12325 · pith_short_12: 3HCPPE6O2R3G · pith_short_16: 3HCPPE6O2R3GH2WY · pith_short_8: 3HCPPE6O

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/3HCPPE6O2R3GH2WYL7C23QZEA3 \
  | 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: d9c4f793ced47663ead85fc5adc32406ce0d82793b62a510cd2e3a79efc62d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8643ea5cab66084329573e4c5802d76837a6b22ba0f6f2f7719c76ebd9baab13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-10-16T07:45:56Z",
    "title_canon_sha256": "cf2068258588c0d2b6df1264d7718a19384457e422a7f0563e0e76734c373fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12325",
    "kind": "arxiv",
    "version": 2
  }
}