Pith Number

pith:QJFYUEW4

pith:2025:QJFYUEW4JX3GSSGFK7X36GKH5Y

not attested not anchored not stored refs pending

Categorical and geometric methods in statistical, manifold, and machine learning

Frederic Protin, H\`a Quang Minh, H\^ong V\^an L\^e, Wilderich Tuschmann

arxiv:2505.03862 v1 · 2025-05-06 · stat.ML · cs.LG · math.CT · math.DG · 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{QJFYUEW4JX3GSSGFK7X36GKH5Y}

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	2026-07-05T10:59:32.775844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824b8a12dc4df66948c557efbf1947ee0d04c00326f4421049b7d2ed99448c34

Aliases

arxiv: 2505.03862 · arxiv_version: 2505.03862v1 · doi: 10.48550/arxiv.2505.03862 · pith_short_12: QJFYUEW4JX3G · pith_short_16: QJFYUEW4JX3GSSGF · pith_short_8: QJFYUEW4

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/QJFYUEW4JX3GSSGFK7X36GKH5Y \
  | 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: 824b8a12dc4df66948c557efbf1947ee0d04c00326f4421049b7d2ed99448c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1869c5a97c1456900c1951b493c5fa2f81b69cc2650c1c3ac85919da77cc93f9",
    "cross_cats_sorted": [
      "cs.LG",
      "math.CT",
      "math.DG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-06T16:27:06Z",
    "title_canon_sha256": "a53e5c484f37104c91e3b14d5a915dfd05be92c2c11fd15f0ec19b539e455ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03862",
    "kind": "arxiv",
    "version": 1
  }
}