Pith Number

pith:GR7H5OT3

pith:2025:GR7H5OT3VPJTK6ENUSB3VXWOYL

not attested not anchored not stored refs pending

Gaussian Mixture Model with unknown diagonal covariances via continuous sparse regularization

Cl\'ement Marteau (PSPM, ECL, ICJ, IUF), PSPM, PSPM), Romane Giard (ECL, UCBL), Yohann de Castro (ICJ

arxiv:2509.12889 v4 · 2025-09-16 · math.ST · 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{GR7H5OT3VPJTK6ENUSB3VXWOYL}

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	2026-05-18T02:44:33.302363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347e7eba7babd335788da483badecec2c95037414c98694828b22a220300aa27

Aliases

arxiv: 2509.12889 · arxiv_version: 2509.12889v4 · doi: 10.48550/arxiv.2509.12889 · pith_short_12: GR7H5OT3VPJT · pith_short_16: GR7H5OT3VPJTK6EN · pith_short_8: GR7H5OT3

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/GR7H5OT3VPJTK6ENUSB3VXWOYL \
  | 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: 347e7eba7babd335788da483badecec2c95037414c98694828b22a220300aa27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2cf17393dcad73f2daab61f5764dc3445d9e4472b467fcec03327792ec925b",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-09-16T09:42:44Z",
    "title_canon_sha256": "a3c5bce432aef458e376ba828bc46b4f05b4189c0fa441442c5ddd20b21d7c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.12889",
    "kind": "arxiv",
    "version": 4
  }
}