Pith Number

pith:WQOWOKSI

pith:2025:WQOWOKSIFJENVYTVY4SRB3OZ5T

not attested not anchored not stored refs pending

On the Kolmogorov-Feller weak law of large numbers for the Fr\'echet mean on non-compact symmetric spaces

Jongmin Lee, Sungkyu Jung

arxiv:2509.02074 v2 · 2025-09-02 · math.PR · 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{WQOWOKSIFJENVYTVY4SRB3OZ5T}

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	2026-06-23T02:12:33.048798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41d672a482a48dae275c72510edd9ecfef6ead0177929544d93983494f39a81

Aliases

arxiv: 2509.02074 · arxiv_version: 2509.02074v2 · doi: 10.48550/arxiv.2509.02074 · pith_short_12: WQOWOKSIFJEN · pith_short_16: WQOWOKSIFJENVYTV · pith_short_8: WQOWOKSI

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/WQOWOKSIFJENVYTVY4SRB3OZ5T \
  | 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: b41d672a482a48dae275c72510edd9ecfef6ead0177929544d93983494f39a81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80cdc91e303fac44e59a1eba58cfc2d815ac2b20ed694b831d159ea9196f6ac",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T08:25:30Z",
    "title_canon_sha256": "323277cd9fe4b9c3a5387d13d1b346db25c3d99076c9d0c1ede068862de2d6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02074",
    "kind": "arxiv",
    "version": 2
  }
}