Pith Number

pith:GICKQQ5N

pith:2025:GICKQQ5NORL6FYPPUXYLLAKOH5

not attested not anchored not stored refs pending

Wishart kernel density estimation for strongly mixing time series on the cone of positive definite matrices

Christian Genest, Donald Richards, Fr\'ed\'eric Ouimet, L\'eo R. Belzile

arxiv:2512.08232 v2 · 2025-12-09 · stat.ME · math.PR · math.ST · stat.AP · 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{GICKQQ5NORL6FYPPUXYLLAKOH5}

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	2026-06-10T01:09:49.414703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3204a843ad7457e2e1efa5f0b5814e3f6d10a2ed7a3c256851aa4d0dcdfa0087

Aliases

arxiv: 2512.08232 · arxiv_version: 2512.08232v2 · doi: 10.48550/arxiv.2512.08232 · pith_short_12: GICKQQ5NORL6 · pith_short_16: GICKQQ5NORL6FYPP · pith_short_8: GICKQQ5N

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/GICKQQ5NORL6FYPPUXYLLAKOH5 \
  | 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: 3204a843ad7457e2e1efa5f0b5814e3f6d10a2ed7a3c256851aa4d0dcdfa0087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403fd4e8757ebc637bddcf5526b8cc6d2dbeffabcd71792946a1540ac0986436",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-12-09T04:17:16Z",
    "title_canon_sha256": "ec25a55e2360fd71023fe9962d92391767a0dda9f84f4f147cc3d9752406bd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08232",
    "kind": "arxiv",
    "version": 2
  }
}