Pith Number

pith:MXHFB5U6

pith:2016:MXHFB5U6DHNZVMGULFK54AD43D

not attested not anchored not stored refs pending

Double asymptotics for the chi-square statistic

Grzegorz A. Rempa{\l}a, Jacek Weso{\l}owski

arxiv:1609.03060 v1 · 2016-09-10 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXHFB5U6DHNZVMGULFK54AD43D}

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	2026-05-18T01:04:49.042287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ce50f69e19db9ab0d45955de007cd8d88439b5bf3a63969304033a7c16ef9e

Aliases

arxiv: 1609.03060 · arxiv_version: 1609.03060v1 · doi: 10.48550/arxiv.1609.03060 · pith_short_12: MXHFB5U6DHNZ · pith_short_16: MXHFB5U6DHNZVMGU · pith_short_8: MXHFB5U6

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/MXHFB5U6DHNZVMGULFK54AD43D \
  | 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: 65ce50f69e19db9ab0d45955de007cd8d88439b5bf3a63969304033a7c16ef9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc782c16dce76e0f34eceb906ea2b239a18f5eabcf6279db8d42044dc6c1496c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-10T14:36:13Z",
    "title_canon_sha256": "549e1dc9ad2803247dcc2c04e4ef3a98f32ec60301600f16151e7d7205dad3c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03060",
    "kind": "arxiv",
    "version": 1
  }
}