Pith Number

pith:S3B4MMGN

pith:2026:S3B4MMGNJHPXEWLJ6DXCC5CRYF

not attested not anchored not stored refs pending

Unifying Local Communications and Local Updates for LLM Pretraining

Edouard Oyallon, Eugene Belilovsky, Pietro Cagnasso

arxiv:2606.11081 v1 · 2026-06-09 · 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{S3B4MMGNJHPXEWLJ6DXCC5CRYF}

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	2026-06-10T01:11:09.031274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c3c630cd49df725969f0ee217451c1551efc59e0b5188d2c3878035bb6b4ec

Aliases

arxiv: 2606.11081 · arxiv_version: 2606.11081v1 · doi: 10.48550/arxiv.2606.11081 · pith_short_12: S3B4MMGNJHPX · pith_short_16: S3B4MMGNJHPXEWLJ · pith_short_8: S3B4MMGN

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/S3B4MMGNJHPXEWLJ6DXCC5CRYF \
  | 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: 96c3c630cd49df725969f0ee217451c1551efc59e0b5188d2c3878035bb6b4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc4be3204dbdae2897f8e356490b36d989f818ce06822f4ca4eed2ee00e5373",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T16:40:54Z",
    "title_canon_sha256": "3e651a806869e21dcba96e3b0038f2589342e109e48e0a230097152a062425e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11081",
    "kind": "arxiv",
    "version": 1
  }
}