Pith Number

pith:RBHE3Z4R

pith:2020:RBHE3Z4RATTO2XNWTXRSMOVPGX

not attested not anchored not stored refs pending

General Behaviour of P-Values Under the Null and Alternative

Lei Sun, Radu Craiu, Yanbo Tang

arxiv:2012.01697 v2 · 2020-12-03 · math.ST · 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{RBHE3Z4RATTO2XNWTXRSMOVPGX}

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	2026-07-05T03:03:26.567064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

884e4de79104e6ed5db69de3263aaf35f084671624f3a6669d4d82abcbcabada

Aliases

arxiv: 2012.01697 · arxiv_version: 2012.01697v2 · doi: 10.48550/arxiv.2012.01697 · pith_short_12: RBHE3Z4RATTO · pith_short_16: RBHE3Z4RATTO2XNW · pith_short_8: RBHE3Z4R

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/RBHE3Z4RATTO2XNWTXRSMOVPGX \
  | 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: 884e4de79104e6ed5db69de3263aaf35f084671624f3a6669d4d82abcbcabada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b09d8bfe1296634b4f31ed7f6a8d19a384a1bae84ab1e5a8094baab52a9b28a",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-12-03T04:36:39Z",
    "title_canon_sha256": "38e378e6403827e74ccb3e69535df9ce5f40327aefb5d01c357f39aeb3027de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01697",
    "kind": "arxiv",
    "version": 2
  }
}