Pith Number

pith:EI45VLN7

pith:2026:EI45VLN7DBIEWNOEFKWFJ62RT4

not attested not anchored not stored refs pending

Configurable and Hierarchical Allreduce

Ke Fan, Sidharth Kumar, Valentino Guerrini

arxiv:2608.02884 v1 · 2026-08-03 · 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{EI45VLN7DBIEWNOEFKWFJ62RT4}

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	2026-08-05T00:43:14.551380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2239daadbf18504b35c42aac54fb519f0808a8195ef0bf3b4ae6b0ac67a09fa9

Aliases

arxiv: 2608.02884 · arxiv_version: 2608.02884v1 · doi: 10.48550/arxiv.2608.02884 · pith_short_12: EI45VLN7DBIE · pith_short_16: EI45VLN7DBIEWNOE · pith_short_8: EI45VLN7

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/EI45VLN7DBIEWNOEFKWFJ62RT4 \
  | 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: 2239daadbf18504b35c42aac54fb519f0808a8195ef0bf3b4ae6b0ac67a09fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47265b3cfcd44ff557d4d444583f844b0d9cc51089d7caf45c8cca998c7117b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-08-03T21:12:43Z",
    "title_canon_sha256": "324a877cd209f9421025294f22d81d9354e9f5292b0ef02d3fccfdaf43cb42f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02884",
    "kind": "arxiv",
    "version": 1
  }
}