Pith Number

pith:4X7WQWWU

pith:2026:4X7WQWWU7VE2NMMOP7GS4ISLN4

not attested not anchored not stored refs pending

Quantum ring all-reduce: communication and privacy advantages for distributed learning

Lirand\"e Pira, Mar\'ia Gragera Garc\'es

arxiv:2606.20344 v1 · 2026-06-18 · quant-ph · 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{4X7WQWWU7VE2NMMOP7GS4ISLN4}

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	2026-06-19T16:13:09.463892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ff685ad4fd49a6b18e7fcd2e224b6f1959894644a8716b3bbd7836de692c91

Aliases

arxiv: 2606.20344 · arxiv_version: 2606.20344v1 · doi: 10.48550/arxiv.2606.20344 · pith_short_12: 4X7WQWWU7VE2 · pith_short_16: 4X7WQWWU7VE2NMMO · pith_short_8: 4X7WQWWU

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/4X7WQWWU7VE2NMMOP7GS4ISLN4 \
  | 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: e5ff685ad4fd49a6b18e7fcd2e224b6f1959894644a8716b3bbd7836de692c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa5908945ed9025631d6037c785161c87c1eefd1a528649279c24a31681182e",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-18T15:13:55Z",
    "title_canon_sha256": "2403cfebb8b10b0c61dabffd3ddd8cc980fcdeb74c3b5badea161943bd9a62e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20344",
    "kind": "arxiv",
    "version": 1
  }
}