Pith Number

pith:4BAZT2GA

pith:2023:4BAZT2GARDF5ILUMKQM7YD4ZMD

not attested not anchored not stored refs pending

Information Geometry and Asymptotics for Kronecker Covariances

Andrew McCormack, Peter Hoff

arxiv:2308.02260 v1 · 2023-08-04 · 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{4BAZT2GARDF5ILUMKQM7YD4ZMD}

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	2026-07-05T06:37:40.466387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04199e8c088cbd42e8c5419fc0f9960cafa0f0f4da0c4efab68bc27be895c12

Aliases

arxiv: 2308.02260 · arxiv_version: 2308.02260v1 · doi: 10.48550/arxiv.2308.02260 · pith_short_12: 4BAZT2GARDF5 · pith_short_16: 4BAZT2GARDF5ILUM · pith_short_8: 4BAZT2GA

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/4BAZT2GARDF5ILUMKQM7YD4ZMD \
  | 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: e04199e8c088cbd42e8c5419fc0f9960cafa0f0f4da0c4efab68bc27be895c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d841cee2265220c694db2ff172946ee3a0d94ab9be6d6d6239222fca1cf03d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-08-04T11:35:19Z",
    "title_canon_sha256": "a80b7223f5b0a22306aeefa7421915bebf4108e08a4473ecde7ce12419683c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.02260",
    "kind": "arxiv",
    "version": 1
  }
}