Pith Number

pith:IDKOW7WP

pith:2023:IDKOW7WPN6QOEVH2HWZ5AQCBXZ

not attested not anchored not stored refs pending

Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow

Kaizheng Wang, Philippe Rigollet, Yuling Yan

arxiv:2301.01766 v1 · 2023-01-04 · math.ST · cs.LG · math.OC · 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{IDKOW7WPN6QOEVH2HWZ5AQCBXZ}

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.

Cited by

2 papers in Pith

Weighted quantization using MMD: From mean field to mean shift via gradient flows

On Model-Based Clustering With Entropic Optimal Transport

Receipt and verification

First computed	2026-07-05T05:30:40.636432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40d4eb7ecf6fa0e254fa3db3d04041be4d1bff796f40583e657beb3d2b99d8e3

Aliases

arxiv: 2301.01766 · arxiv_version: 2301.01766v1 · doi: 10.48550/arxiv.2301.01766 · pith_short_12: IDKOW7WPN6QO · pith_short_16: IDKOW7WPN6QOEVH2 · pith_short_8: IDKOW7WP

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/IDKOW7WPN6QOEVH2HWZ5AQCBXZ \
  | 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: 40d4eb7ecf6fa0e254fa3db3d04041be4d1bff796f40583e657beb3d2b99d8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e571fd7eb3937e17e40c56f30ff6289c59c759e3b2b93cd870a32c390fa62deb",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-01-04T18:59:35Z",
    "title_canon_sha256": "b4cbfefcd5ca9c3bfb752da06e08186a57acacec957ab8f7bdb6223c21cfc828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.01766",
    "kind": "arxiv",
    "version": 1
  }
}