Pith Number

pith:7RRBF7VM

pith:2012:7RRBF7VMQTIVK3NR66TFNKDFVA

not attested not anchored not stored refs pending

Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs

Camelia Goga, Herv\'e Cardot, Pauline Lardin

arxiv:1209.6503 v3 · 2012-09-28 · 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{7RRBF7VMQTIVK3NR66TFNKDFVA}

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	2026-05-18T03:19:44.040997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6212feac84d1556db1f7a656a865a802aa943795c4d6fef607bb277fe0e068

Aliases

arxiv: 1209.6503 · arxiv_version: 1209.6503v3 · doi: 10.48550/arxiv.1209.6503 · pith_short_12: 7RRBF7VMQTIV · pith_short_16: 7RRBF7VMQTIVK3NR · pith_short_8: 7RRBF7VM

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/7RRBF7VMQTIVK3NR66TFNKDFVA \
  | 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: fc6212feac84d1556db1f7a656a865a802aa943795c4d6fef607bb277fe0e068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17a2451c823f71bda9604ac66a45d70f5f596efb2cb33834d68463e0c1f2d8d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-09-28T12:43:49Z",
    "title_canon_sha256": "9d5f0fa4cf8fb6f7be77fc1409c54d844eaa94ef32b08aa80f6ddbe2f9138b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6503",
    "kind": "arxiv",
    "version": 3
  }
}