Pith Number

pith:ZI4EHACB

pith:2026:ZI4EHACBIKMSDD6S7MDLFL3IFL

not attested not anchored not stored refs pending

Sharp Minimax Rates for Smooth Two-Sample Testing under Central Differential Privacy

Ilmun Kim

arxiv:2607.23974 v1 · 2026-07-27 · 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{ZI4EHACBIKMSDD6S7MDLFL3IFL}

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	2026-07-28T01:23:39.236790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca384380414299218fd2fb06b2af682ae9558a2bd5e312d5a02feda6e573a2ab

Aliases

arxiv: 2607.23974 · arxiv_version: 2607.23974v1 · doi: 10.48550/arxiv.2607.23974 · pith_short_12: ZI4EHACBIKMS · pith_short_16: ZI4EHACBIKMSDD6S · pith_short_8: ZI4EHACB

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/ZI4EHACBIKMSDD6S7MDLFL3IFL \
  | 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: ca384380414299218fd2fb06b2af682ae9558a2bd5e312d5a02feda6e573a2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c733ac8e91dc9599f9b26e6fb96be296ae985d20a3c6da85b10c1595eb4759b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-27T03:54:22Z",
    "title_canon_sha256": "c813112cbafe128d2564ea0c397992eca68d5eb6ef40b27fe7f8d2f655d964f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23974",
    "kind": "arxiv",
    "version": 1
  }
}