pith. sign in
Pith Number

pith:UB4FEAKL

pith:2016:UB4FEAKLWWITVWYPJXGDFCU5ZA
not attested not anchored not stored refs pending

On Stepwise Control of Directional Errors under Independence and Some Dependence

Joseph P. Romano, Wenge Guo

arxiv:1602.02854 v1 · 2016-02-09 · math.ST · stat.ME · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UB4FEAKLWWITVWYPJXGDFCU5ZA}

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 2026-05-18T01:21:07.977649Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a07852014bb5913adb0f4dcc328a9dc80302ea31466ed1f87bfcb9c6c643b9ac

Aliases

arxiv: 1602.02854 · arxiv_version: 1602.02854v1 · doi: 10.48550/arxiv.1602.02854 · pith_short_12: UB4FEAKLWWIT · pith_short_16: UB4FEAKLWWITVWYP · pith_short_8: UB4FEAKL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UB4FEAKLWWITVWYPJXGDFCU5ZA \
  | 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: a07852014bb5913adb0f4dcc328a9dc80302ea31466ed1f87bfcb9c6c643b9ac
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d2cf27de6518780979a3171f13da794441a09fbb8d2df4bd66278a488b72b0f5",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-02-09T04:03:10Z",
    "title_canon_sha256": "43a6e2a4a0a8d7995b3a59f3850fd09949a7a27bf3c34edc3c7fff43e5f00e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02854",
    "kind": "arxiv",
    "version": 1
  }
}