Pith Number

pith:MDXTFJ5U

pith:2026:MDXTFJ5UBCKQRGJKS7RYNTV7J6

not attested not anchored not stored refs pending

Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces

Hideyuki Ishi, Hikozo Kobayashi, Takayuki Okuda

arxiv:2605.30300 v1 · 2026-05-28 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDXTFJ5UBCKQRGJKS7RYNTV7J6}

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	2026-05-29T02:06:15.707407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ef32a7b4089508992a97e386cebf4fa94048201243380ecd1ef05b38bf6fa6

Aliases

arxiv: 2605.30300 · arxiv_version: 2605.30300v1 · doi: 10.48550/arxiv.2605.30300 · pith_short_12: MDXTFJ5UBCKQ · pith_short_16: MDXTFJ5UBCKQRGJK · pith_short_8: MDXTFJ5U

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/MDXTFJ5UBCKQRGJKS7RYNTV7J6 \
  | 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: 60ef32a7b4089508992a97e386cebf4fa94048201243380ecd1ef05b38bf6fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae55a8d66edf4c64f4d730aa3f6b96584435c5c9145bb5925debd2fc0253297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-28T17:46:11Z",
    "title_canon_sha256": "32ff67f0c3d27ce48f0dd9919feb1975aa14259c3309225e354aa19cce20c47c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30300",
    "kind": "arxiv",
    "version": 1
  }
}