Pith Number

pith:RLOJ5OMM

pith:2014:RLOJ5OMM2L2KLJMBVFL5ABKWXK

not attested not anchored not stored refs pending

Cram\'{e}r-type moderate deviations for Studentized two-sample $U$-statistics with applications

Jinyuan Chang, Qi-Man Shao, Wen-Xin Zhou

arxiv:1407.4546 v7 · 2014-07-17 · math.ST · math.PR · 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{RLOJ5OMM2L2KLJMBVFL5ABKWXK}

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	2026-05-18T01:03:44.639037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adc9eb98cd2f4a5a581a957d00556ba907ebfbdc2736c1b360e3e9913bcecc1

Aliases

arxiv: 1407.4546 · arxiv_version: 1407.4546v7 · doi: 10.48550/arxiv.1407.4546 · pith_short_12: RLOJ5OMM2L2K · pith_short_16: RLOJ5OMM2L2KLJMB · pith_short_8: RLOJ5OMM

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/RLOJ5OMM2L2KLJMBVFL5ABKWXK \
  | 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: 8adc9eb98cd2f4a5a581a957d00556ba907ebfbdc2736c1b360e3e9913bcecc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d9c0b715c55d1bb10dadfebb6a6b6f613690b2ea491a5d98edc80c579e9e63",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-07-17T03:25:42Z",
    "title_canon_sha256": "d3d1ae4e6d5955c9509043341ba7197aff1be63eb7990fa667696814be2f35db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4546",
    "kind": "arxiv",
    "version": 7
  }
}