Pith Number

pith:QSZJNXQ7

pith:2026:QSZJNXQ7FILDR6AYFLR6OUWIXM

not attested not anchored not stored refs pending

Doubly Totally-Umbilical Statistical Submanifolds in the Probability Simplex

Ryu Ueno

arxiv:2606.06395 v1 · 2026-06-04 · 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{QSZJNXQ7FILDR6AYFLR6OUWIXM}

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	2026-06-05T01:15:44.318030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b296de1f2a1638f8182ae3e752c8bb2701f9a5d6c2710ab7989e36b966adde

Aliases

arxiv: 2606.06395 · arxiv_version: 2606.06395v1 · doi: 10.48550/arxiv.2606.06395 · pith_short_12: QSZJNXQ7FILD · pith_short_16: QSZJNXQ7FILDR6AY · pith_short_8: QSZJNXQ7

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/QSZJNXQ7FILDR6AYFLR6OUWIXM \
  | 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: 84b296de1f2a1638f8182ae3e752c8bb2701f9a5d6c2710ab7989e36b966adde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8ff995de2734a6ac102d97a311f385128c26589b69f5a955176c49294504a6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-04T17:02:03Z",
    "title_canon_sha256": "35d061ab1dda59c67f9fd44856e991a82931a49c7108061cac66160c5d223e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06395",
    "kind": "arxiv",
    "version": 1
  }
}