Pith Number

pith:5JRHIXJX

pith:2025:5JRHIXJX324VEFYA7CMZOFG5KV

not attested not anchored not stored refs pending

Means of Random Variables in Lie Groups

Gregory S. Chirikjian, Jikai Ye, Shiraz Khan

arxiv:2508.12030 v1 · 2025-08-16 · math.ST · eess.SP · 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{5JRHIXJX324VEFYA7CMZOFG5KV}

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	2026-07-05T11:54:58.963718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea62745d37deb9521700f8999714dd5555c459fe194cbda66ce6719412c7a5bf

Aliases

arxiv: 2508.12030 · arxiv_version: 2508.12030v1 · doi: 10.48550/arxiv.2508.12030 · pith_short_12: 5JRHIXJX324V · pith_short_16: 5JRHIXJX324VEFYA · pith_short_8: 5JRHIXJX

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/5JRHIXJX324VEFYA7CMZOFG5KV \
  | 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: ea62745d37deb9521700f8999714dd5555c459fe194cbda66ce6719412c7a5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f14cd4c7de4ff2027ba0ac2a682e9137e50fd8e0d4afe304aa9064133274e55",
    "cross_cats_sorted": [
      "eess.SP",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-08-16T12:38:09Z",
    "title_canon_sha256": "d7056b92ccf3bd849f101360cc30403e65ef0d5050f9a0f285ccf44883d9da90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12030",
    "kind": "arxiv",
    "version": 1
  }
}