Pith Number

pith:PTTKIXI4

pith:2026:PTTKIXI4TE4R3F6PCCILXYUWZZ

not attested not anchored not stored refs pending

A Tabular Schedule Abstraction for Communication-Aware Evaluation of Pipeline-Parallel LLM Training

Benjamin Klenk, Daniel Barley, Holger Fr\"oning, Jonathan Leis

arxiv:2605.24006 v1 · 2026-05-19 · cs.DC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTTKIXI4TE4R3F6PCCILXYUWZZ}

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	2026-05-26T01:02:40.687756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce6a45d1c99391d97cf1090bbe296ce46e5648b7a7da8182f7cbb5ef309dd7f

Aliases

arxiv: 2605.24006 · arxiv_version: 2605.24006v1 · doi: 10.48550/arxiv.2605.24006 · pith_short_12: PTTKIXI4TE4R · pith_short_16: PTTKIXI4TE4R3F6P · pith_short_8: PTTKIXI4

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/PTTKIXI4TE4R3F6PCCILXYUWZZ \
  | 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: 7ce6a45d1c99391d97cf1090bbe296ce46e5648b7a7da8182f7cbb5ef309dd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eed9311d7bbe9cc486dda78728f2f5897e8a7282f07a6874cb0a56777420587",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-05-19T13:19:51Z",
    "title_canon_sha256": "29b79c295fd79b6210c4509532cbbba42180cea7f24bcb250254e5b53a1cec4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24006",
    "kind": "arxiv",
    "version": 1
  }
}