Pith Number

pith:LLB5HKV6

pith:2013:LLB5HKV6AWMBSWX5E6AZZCS2X2

not attested not anchored not stored refs pending

Optimal variance estimation without estimating the mean function

Tiejun Tong, Yanyuan Ma, Yuedong Wang

arxiv:1312.3046 v1 · 2013-12-11 · 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{LLB5HKV6AWMBSWX5E6AZZCS2X2}

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	2026-05-18T03:05:00.670648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac3d3aabe0598195afd27819c8a5abe9e538e99cdca9ed15e1137641adfd3d7

Aliases

arxiv: 1312.3046 · arxiv_version: 1312.3046v1 · doi: 10.48550/arxiv.1312.3046 · pith_short_12: LLB5HKV6AWMB · pith_short_16: LLB5HKV6AWMBSWX5 · pith_short_8: LLB5HKV6

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/LLB5HKV6AWMBSWX5E6AZZCS2X2 \
  | 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: 5ac3d3aabe0598195afd27819c8a5abe9e538e99cdca9ed15e1137641adfd3d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810548c0a68cf7b91493d55080cb1308aac54aadf57f6c775a3ea1aa3beed2e0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-11T06:41:35Z",
    "title_canon_sha256": "8e3579eb72eacf4fb1a89472c2472fb677d0f9037536b1bb454346c2d37810e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3046",
    "kind": "arxiv",
    "version": 1
  }
}