Pith Number

pith:JFLLIOJU

pith:2021:JFLLIOJUI2M3KX3FLLGP4N2V65

not attested not anchored not stored refs pending

Layered gradient accumulation and modular pipeline parallelism: fast and efficient training of large language models

Joel Lamy-Poirier

arxiv:2106.02679 v1 · 2021-06-04 · cs.LG · cs.AI · cs.CL · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFLLIOJUI2M3KX3FLLGP4N2V65}

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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

Leveraging LLMs for Multi-File DSL Code Generation: An Industrial Case Study

Receipt and verification

First computed	2026-07-05T02:46:28.980929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4956b439344699b55f655accfe3755f76675906c3782b2b848781fbe13e87432

Aliases

arxiv: 2106.02679 · arxiv_version: 2106.02679v1 · doi: 10.48550/arxiv.2106.02679 · pith_short_12: JFLLIOJUI2M3 · pith_short_16: JFLLIOJUI2M3KX3F · pith_short_8: JFLLIOJU

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/JFLLIOJUI2M3KX3FLLGP4N2V65 \
  | 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: 4956b439344699b55f655accfe3755f76675906c3782b2b848781fbe13e87432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebba9938e8dc4a66cfa5976ba9f46fdca098172c024e0cb498ac94ea0bcd5fe8",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "cs.DC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-04T19:21:49Z",
    "title_canon_sha256": "434da334d2825ada3dac75e9e2b905314cb028892db0175cc031b036c7f49566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02679",
    "kind": "arxiv",
    "version": 1
  }
}