Pith Number

pith:NCX2YHC5

pith:2026:NCX2YHC5EDTNDCTF5BJ7M3263V

not attested not anchored not stored refs pending

On the Stability of Spherical Hellinger-Kantorovich Flows and Their Implications for Differential Privacy

Aratrika Mustafi, Soumya Mukherjee

arxiv:2605.23879 v1 · 2026-05-22 · stat.ML · cs.CR · 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{NCX2YHC5EDTNDCTF5BJ7M3263V}

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	2026-05-25T02:02:37.310973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68afac1c5d20e6d18a65e853f66f5edd64d6b22905aad2ab73cb4db5a7590394

Aliases

arxiv: 2605.23879 · arxiv_version: 2605.23879v1 · doi: 10.48550/arxiv.2605.23879 · pith_short_12: NCX2YHC5EDTN · pith_short_16: NCX2YHC5EDTNDCTF · pith_short_8: NCX2YHC5

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/NCX2YHC5EDTNDCTF5BJ7M3263V \
  | 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: 68afac1c5d20e6d18a65e853f66f5edd64d6b22905aad2ab73cb4db5a7590394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82896e5e8c6d1e7c1023704138c438e12effa6cae166cfca94fcc2e5d8d20c29",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-22T17:38:20Z",
    "title_canon_sha256": "d6f32494e5b1c7ea7f9c503fb8a7fe661730ddd0b7dfb44e26492015f9e63428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23879",
    "kind": "arxiv",
    "version": 1
  }
}