Pith Number

pith:SL72F7Y7

pith:2026:SL72F7Y7HB6EUNMOFDXXPI57V4

not attested not anchored not stored refs pending

Gaffke's confidence interval for the mean of bounded data is inadmissible but asymptotically efficient

Aaditya Ramdas, Ian Waudby-Smith, Jiahao Ming, Ruodu Wang, Yi Shen

arxiv:2607.18661 v1 · 2026-07-21 · math.ST · cs.IT · eess.SP · math.IT · math.PR · stat.ME · 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{SL72F7Y7HB6EUNMOFDXXPI57V4}

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	2026-07-22T00:22:59.158359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92ffa2ff1f387c4a358e28ef77a3bfaf30ca35be614d51e009beed5ebe8e6e26

Aliases

arxiv: 2607.18661 · arxiv_version: 2607.18661v1 · doi: 10.48550/arxiv.2607.18661 · pith_short_12: SL72F7Y7HB6E · pith_short_16: SL72F7Y7HB6EUNMO · pith_short_8: SL72F7Y7

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/SL72F7Y7HB6EUNMOFDXXPI57V4 \
  | 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: 92ffa2ff1f387c4a358e28ef77a3bfaf30ca35be614d51e009beed5ebe8e6e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a500ee1356d6ca4bd3f5a1977e36e08ba164fe3a6099ec1934502acdaeeb2df",
    "cross_cats_sorted": [
      "cs.IT",
      "eess.SP",
      "math.IT",
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-21T03:14:21Z",
    "title_canon_sha256": "d4672f780c3d204358d4afecb2a0fb4cd576258d07716b90ef9d42cbbba8f61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18661",
    "kind": "arxiv",
    "version": 1
  }
}