Pith Number

pith:ASJKPR55

pith:2009:ASJKPR55MPG6N6L7WEUQ7C7TOI

not attested not anchored not stored refs pending

Asymptotic properties of U-processes under long-range dependence

C\'eline L\'evy-Leduc (LTCI), Eric Moulines (LTCI), H\'el\`ene Boistard (GREMAQ), Murad S. Taqqu, Valderio A. Reisen

arxiv:0912.4688 v2 · 2009-12-23 · 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{ASJKPR55MPG6N6L7WEUQ7C7TOI}

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	2026-05-18T04:34:01.450834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0492a7c7bd63cde6f97fb1290f8bf37235c8a9bdd8cdf37fe89cd91d68100a04

Aliases

arxiv: 0912.4688 · arxiv_version: 0912.4688v2 · doi: 10.48550/arxiv.0912.4688 · pith_short_12: ASJKPR55MPG6 · pith_short_16: ASJKPR55MPG6N6L7 · pith_short_8: ASJKPR55

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/ASJKPR55MPG6N6L7WEUQ7C7TOI \
  | 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: 0492a7c7bd63cde6f97fb1290f8bf37235c8a9bdd8cdf37fe89cd91d68100a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a0d600a704a92eea309b3ba4d42c53718f3bf1b0e482250cad8382b849f54b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-12-23T16:53:05Z",
    "title_canon_sha256": "3eaa13d3640e366893622ce521d2c52f4102ead886f26196a6d2f26c7cfc5300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4688",
    "kind": "arxiv",
    "version": 2
  }
}