Pith Number

pith:KKJ5JROR

pith:2012:KKJ5JRORHVWRTZUCXYVASIMXNO

not attested not anchored not stored refs pending

Asymptotics of Maximum Likelihood without the LLN or CLT or Sample Size Going to Infinity

Charles J. Geyer

arxiv:1206.4762 v3 · 2012-06-21 · 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{KKJ5JRORHVWRTZUCXYVASIMXNO}

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	2026-05-18T03:51:46.919437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5293d4c5d13d6d19e682be2a0921976bb0ff892432979b545fc2b8e3d2e829e0

Aliases

arxiv: 1206.4762 · arxiv_version: 1206.4762v3 · doi: 10.48550/arxiv.1206.4762 · pith_short_12: KKJ5JRORHVWR · pith_short_16: KKJ5JRORHVWRTZUC · pith_short_8: KKJ5JROR

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/KKJ5JRORHVWRTZUCXYVASIMXNO \
  | 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: 5293d4c5d13d6d19e682be2a0921976bb0ff892432979b545fc2b8e3d2e829e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6279fc12e302671de3161674a504b210d1b4f4edf61db06de9193612e44a9bfc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-06-21T02:22:27Z",
    "title_canon_sha256": "cd88e0c22bd1177a9fe28329cb4369f547126fed186d8a53e99791f8d10ba7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4762",
    "kind": "arxiv",
    "version": 3
  }
}