Pith Number

pith:W6ZCQGVF

pith:2007:W6ZCQGVFZUSCTGWRRAHV22FURQ

not attested not anchored not stored refs pending

Weak convergence of Vervaat and Vervaat Error processes of long-range dependent sequences

Mikl\'os Cs\"org\H{o}, Rafa{\l} Kulik

arxiv:0709.4285 v1 · 2007-09-26 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6ZCQGVFZUSCTGWRRAHV22FURQ}

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	2026-05-18T01:18:18.800084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b2281aa5cd24299ad1880f5d68b48c288546fd3d488ee45f89f654cbe8835b

Aliases

arxiv: 0709.4285 · arxiv_version: 0709.4285v1 · doi: 10.48550/arxiv.0709.4285 · pith_short_12: W6ZCQGVFZUSC · pith_short_16: W6ZCQGVFZUSCTGWR · pith_short_8: W6ZCQGVF

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/W6ZCQGVFZUSCTGWRRAHV22FURQ \
  | 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: b7b2281aa5cd24299ad1880f5d68b48c288546fd3d488ee45f89f654cbe8835b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c08aeef7aaa97762e905013f64441dd27516e24f23726981b2d0305cdf62e7f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-09-26T23:15:54Z",
    "title_canon_sha256": "276bfe7263572014b1516623d7d1dcc83fe8bc5d7305b388551a4c41e3ae9027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4285",
    "kind": "arxiv",
    "version": 1
  }
}