Pith Number

pith:3OM7TVIE

pith:2026:3OM7TVIECNNAOWTHSVMPJ5LODV

not attested not anchored not stored refs pending

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales

Aditya Vavre, Boxiang Wang, Bryan Catanzaro, Deyu Fu, Dheevatsa Mudigere, Hao Wu, Jeff Pool, Michael Lightstone, Mikail Khona, Mike Chrzanowski, Mohammad Shoeybi, Mostofa Patwary, Nima Tajbakhsh, Tijmen Blankevoort

arxiv:2607.20548 v1 · 2026-07-13 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OM7TVIECNNAOWTHSVMPJ5LODV}

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	2026-07-24T00:23:22.055085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db99f9d504135a075a679558f4f56e1d7b6bf61c5f5f8ded8da8afb14a7472bb

Aliases

arxiv: 2607.20548 · arxiv_version: 2607.20548v1 · doi: 10.48550/arxiv.2607.20548 · pith_short_12: 3OM7TVIECNNA · pith_short_16: 3OM7TVIECNNAOWTH · pith_short_8: 3OM7TVIE

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/3OM7TVIECNNAOWTHSVMPJ5LODV \
  | 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: db99f9d504135a075a679558f4f56e1d7b6bf61c5f5f8ded8da8afb14a7472bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4bc31e6a7cb08f7449de59dea7911ddf6ec5f714250dfa8fe0c62f0a339d008",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T21:47:08Z",
    "title_canon_sha256": "01dbfa4f28b49de398720fbeb83ec222d9b30b1750fcb54ca639e850a7701962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20548",
    "kind": "arxiv",
    "version": 1
  }
}