Pith Number

pith:UG7NMCWT

pith:2026:UG7NMCWT6ZQL53WD7ZYN422ZWK

not attested not anchored not stored refs pending

General Lower Bounds for Differentially Private Federated Learning with Arbitrary Public-Transcript Interactions

Yicheng Li

arxiv:2605.19813 v1 · 2026-05-19 · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UG7NMCWT6ZQL53WD7ZYN422ZWK}

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	2026-05-20T01:06:15.805243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1bed60ad3f660beeec3fe70de6b59b29ab2544448ff97e5314f8e0f288d253c

Aliases

arxiv: 2605.19813 · arxiv_version: 2605.19813v1 · doi: 10.48550/arxiv.2605.19813 · pith_short_12: UG7NMCWT6ZQL · pith_short_16: UG7NMCWT6ZQL53WD · pith_short_8: UG7NMCWT

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/UG7NMCWT6ZQL53WD7ZYN422ZWK \
  | 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: a1bed60ad3f660beeec3fe70de6b59b29ab2544448ff97e5314f8e0f288d253c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791cf7e821accf34b3c38dc3bc4b005df758d22ded07158fb279bfcf6591635b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T13:09:58Z",
    "title_canon_sha256": "52bcdb4a013294af51ad088edb057125b5f2e9a20ab8e991340b73dabd794a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19813",
    "kind": "arxiv",
    "version": 1
  }
}