Pith Number

pith:XVTQOWEA

pith:2014:XVTQOWEAWVBHENNWSGXNJCLTVF

not attested not anchored not stored refs pending

Cram\'er type moderate deviation theorems for self-normalized processes

Qi-Man Shao, Wen-Xin Zhou

arxiv:1405.1218 v5 · 2014-05-06 · math.PR · math.ST · 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{XVTQOWEAWVBHENNWSGXNJCLTVF}

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	2026-05-18T01:12:58.820506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd67075880b5427235b691aed48973a9709aa743cce0eb8b8bdaf362520f881b

Aliases

arxiv: 1405.1218 · arxiv_version: 1405.1218v5 · doi: 10.48550/arxiv.1405.1218 · pith_short_12: XVTQOWEAWVBH · pith_short_16: XVTQOWEAWVBHENNW · pith_short_8: XVTQOWEA

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/XVTQOWEAWVBHENNWSGXNJCLTVF \
  | 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: bd67075880b5427235b691aed48973a9709aa743cce0eb8b8bdaf362520f881b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec4f01baf00dd66d6c83b571a11bb7258a15201f1d7d2fba4613a80d284171b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-06T10:22:50Z",
    "title_canon_sha256": "a4761e598abf0370c744137aeef83fc9d0291b77dadea4741729e30d330bb30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1218",
    "kind": "arxiv",
    "version": 5
  }
}