Pith Number

pith:R4UO3L5X

pith:2026:R4UO3L5XJOP7MSYMJNNLSKOA4F

not attested not anchored not stored refs pending

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data

Adel Javanmard, Alessandro Epasto, Dennis Kraft, Kareem Amin, M\'onica Ribero, Rudrajit Das, Sergei Vassilvitskii

arxiv:2606.16952 v2 · 2026-06-15 · cs.LG · cs.AI · stat.AP · stat.ME · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4UO3L5XJOP7MSYMJNNLSKOA4F}

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	2026-07-22T00:22:35.829277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f28edafb74b9ff64b0c4b5ab929c0e14b8a5bce4e3f6490cba38ad1116ee1d9

Aliases

arxiv: 2606.16952 · arxiv_version: 2606.16952v2 · doi: 10.48550/arxiv.2606.16952 · pith_short_12: R4UO3L5XJOP7 · pith_short_16: R4UO3L5XJOP7MSYM · pith_short_8: R4UO3L5X

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/R4UO3L5XJOP7MSYMJNNLSKOA4F \
  | 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: 8f28edafb74b9ff64b0c4b5ab929c0e14b8a5bce4e3f6490cba38ad1116ee1d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0464d4919679f28952a27ebd96d2db121173b0c771153893e69daa0334062944",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.AP",
      "stat.ME",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-15T16:54:02Z",
    "title_canon_sha256": "4f5559cb17b326ce6cb910488e0fc33f2ca777161cb6cb39c9d274cbdc745944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16952",
    "kind": "arxiv",
    "version": 2
  }
}