Pith Number

pith:W7QXSHCR

pith:2016:W7QXSHCRIR4MVBO4WVURVYKPEZ

not attested not anchored not stored refs pending

Moderate deviations for bipower variation of general function and Hayashi-Yoshida estimators

Arnaud Guillin (LMBP, Astronautics), Hac\`ene Djellout (LMBP), Hui Jiang (Nanjing University of Aeronautics, IUF), Yacouba Samoura (LMBP)

arxiv:1609.03810 v3 · 2016-09-13 · 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{W7QXSHCRIR4MVBO4WVURVYKPEZ}

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	2026-05-18T00:51:30.189763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e1791c514478ca85dcb5691ae14f2658127c0b37dd9f50024ab40cc9a1441f

Aliases

arxiv: 1609.03810 · arxiv_version: 1609.03810v3 · doi: 10.48550/arxiv.1609.03810 · pith_short_12: W7QXSHCRIR4M · pith_short_16: W7QXSHCRIR4MVBO4 · pith_short_8: W7QXSHCR

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/W7QXSHCRIR4MVBO4WVURVYKPEZ \
  | 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: b7e1791c514478ca85dcb5691ae14f2658127c0b37dd9f50024ab40cc9a1441f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfedac8b43d5b1b89c40cf1622cdbdb458873bcf0e2eba72b32f926fb440d579",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-13T12:57:10Z",
    "title_canon_sha256": "dc84e1ac13a97c3843ce4b7df922bb3d750ec8285f358e602563a2606c3639f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03810",
    "kind": "arxiv",
    "version": 3
  }
}