Pith Number

pith:PUYKYFOZ

pith:2025:PUYKYFOZVM5DJIDHPR5OIRG5MR

not attested not anchored not stored refs pending

Optimal Differentially Private Ranking from Pairwise Comparisons

Abhinav Chakraborty, T. Tony Cai, Yichen Wang

arxiv:2507.09388 v1 · 2025-07-12 · math.ST · stat.ME · stat.ML · 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{PUYKYFOZVM5DJIDHPR5OIRG5MR}

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	2026-07-05T11:36:08.091772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d30ac15d9ab3a34a0677c7ae444dd644c1bdfdf4fb064e99309524e09542d66

Aliases

arxiv: 2507.09388 · arxiv_version: 2507.09388v1 · doi: 10.48550/arxiv.2507.09388 · pith_short_12: PUYKYFOZVM5D · pith_short_16: PUYKYFOZVM5DJIDH · pith_short_8: PUYKYFOZ

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/PUYKYFOZVM5DJIDHPR5OIRG5MR \
  | 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: 7d30ac15d9ab3a34a0677c7ae444dd644c1bdfdf4fb064e99309524e09542d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a128d1b66551393bcce012b29395452eee3c8668a6898e18a5d64c4d0c7f6b",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-12T20:09:28Z",
    "title_canon_sha256": "83964f31c63e2ed113b05a34686cf2a3b7779164f08d250e8725e93f7f92733d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09388",
    "kind": "arxiv",
    "version": 1
  }
}