Pith Number

pith:NMLUEL2B

pith:2025:NMLUEL2BYWVZPNNTWRMXWB7OPH

not attested not anchored not stored refs pending

Model Parallelism With Subnetwork Data Parallelism

Edouard Oyallon, Eugene Belilovsky, Pietro Cagnasso, Vaibhav Singh, Zafir Khalid

arxiv:2507.09029 v5 · 2025-07-11 · 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{NMLUEL2BYWVZPNNTWRMXWB7OPH}

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	2026-06-02T01:03:32.558600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b17422f41c5ab97b5b3b4597b07ee79eed265ab7ea403b8ac80a99eaf355d08

Aliases

arxiv: 2507.09029 · arxiv_version: 2507.09029v5 · doi: 10.48550/arxiv.2507.09029 · pith_short_12: NMLUEL2BYWVZ · pith_short_16: NMLUEL2BYWVZPNNT · pith_short_8: NMLUEL2B

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/NMLUEL2BYWVZPNNTWRMXWB7OPH \
  | 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: 6b17422f41c5ab97b5b3b4597b07ee79eed265ab7ea403b8ac80a99eaf355d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747a06210b9658b84611782597ee66a017d372239935246bd3b7b2ca72a2ab37",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-11T21:25:11Z",
    "title_canon_sha256": "7f7f5b724ee0cc18e291ecb4b4340962e067bc3f1df973a9c15f47ec4da49e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09029",
    "kind": "arxiv",
    "version": 5
  }
}