Pith Number

pith:EDVTMTGG

pith:2006:EDVTMTGGEJTK5YDGP7VUSBVQD7

not attested not anchored not stored refs pending

Strong invariance principles for sequential Bahadur--Kiefer and Vervaat error processes of long-range dependent sequences

Barbara Szyszkowicz, Lihong Wang, Mikl\'os Cs\"org\H{o}

arxiv:math/0607046 v1 · 2006-07-03 · 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{EDVTMTGGEJTK5YDGP7VUSBVQD7}

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	2026-05-18T01:08:50.112649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20eb364cc62266aee0667feb4906b01fcb60f0ade5c883d8e2a055b92f075908

Aliases

arxiv: math/0607046 · arxiv_version: math/0607046v1 · doi: 10.48550/arxiv.math/0607046 · pith_short_12: EDVTMTGGEJTK · pith_short_16: EDVTMTGGEJTK5YDG · pith_short_8: EDVTMTGG

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/EDVTMTGGEJTK5YDGP7VUSBVQD7 \
  | 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: 20eb364cc62266aee0667feb4906b01fcb60f0ade5c883d8e2a055b92f075908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adfd5d2d04f7cf615ffa44624993b252e7bc35a2701b89ed48c2bd769047c844",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-07-03T12:08:57Z",
    "title_canon_sha256": "74583051a01c38f908ff0dc6aed936dfe11eac08554758c3ab0d594fa4c4b8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607046",
    "kind": "arxiv",
    "version": 1
  }
}