Pith Number

pith:BKECUPVC

pith:2026:BKECUPVCLW3J367CCGNUR6W4C3

not attested not anchored not stored refs pending

HyperParallel-Mpipe: A Composable Algebra System for Optimizing MLLM Training over Supernode Clusters

Chong Bao, Chong Li, Etienne Filhol, Nelson Lossing, Pierre Leca, Teng Su, Thibaut Tachon, Yujie Yuan, Zhengdao Yu

arxiv:2607.03229 v1 · 2026-07-03 · 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{BKECUPVCLW3J367CCGNUR6W4C3}

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	2026-07-07T01:16:47.320233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a882a3ea25db69dfbe2119b48fadc16ef9e882d7ba79e68f5f2a96c8224a51d

Aliases

arxiv: 2607.03229 · arxiv_version: 2607.03229v1 · doi: 10.48550/arxiv.2607.03229 · pith_short_12: BKECUPVCLW3J · pith_short_16: BKECUPVCLW3J367C · pith_short_8: BKECUPVC

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/BKECUPVCLW3J367CCGNUR6W4C3 \
  | 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: 0a882a3ea25db69dfbe2119b48fadc16ef9e882d7ba79e68f5f2a96c8224a51d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d84484cb4bf0a764cbb6fd3160552720e33b31002460a250baa281bc59f100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-07-03T11:41:14Z",
    "title_canon_sha256": "cdcff48a6edd33d4504d60dc054be755d25be4a0a1a3e412b743300c3667cabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03229",
    "kind": "arxiv",
    "version": 1
  }
}