Pith Number

pith:4PO7IFJE

pith:2025:4PO7IFJEF4S2R3IJQV6PFM4GE2

not attested not anchored not stored refs pending

Asymptotically Optimal Secure Aggregation for Wireless Federated Learning with Multiple Servers

Kai Liang, Songze Li, Youlong Wu, Yuanming Shi, Zhenhao Huang

arxiv:2506.23680 v1 · 2025-06-30 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PO7IFJEF4S2R3IJQV6PFM4GE2}

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	2026-07-05T11:29:26.271185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ddf415242f25a8ed09857cf2b38626b2f2aaa526a9a86e9cc4755f73252d3e

Aliases

arxiv: 2506.23680 · arxiv_version: 2506.23680v1 · doi: 10.48550/arxiv.2506.23680 · pith_short_12: 4PO7IFJEF4S2 · pith_short_16: 4PO7IFJEF4S2R3IJ · pith_short_8: 4PO7IFJE

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/4PO7IFJEF4S2R3IJQV6PFM4GE2 \
  | 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: e3ddf415242f25a8ed09857cf2b38626b2f2aaa526a9a86e9cc4755f73252d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068d8af852f2686fd9bd6f4f429bc0d16e654db2e3c6123270b3fccc05c9fed3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-06-30T10:03:38Z",
    "title_canon_sha256": "034046d973587231a10051c2c92ec7df6f73a5974bca63d6630949f258a1665e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23680",
    "kind": "arxiv",
    "version": 1
  }
}