Pith Number

pith:ZIT5BRWQ

pith:2013:ZIT5BRWQBPAEZVEKO4ZHD55VMB

not attested not anchored not stored refs pending

Joint convergence along different subsequences of the signed cubic variation of fractional Brownian motion II

David Nualart, Jason Swanson

arxiv:1303.0892 v3 · 2013-03-04 · 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{ZIT5BRWQBPAEZVEKO4ZHD55VMB}

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	2026-05-18T03:22:17.023073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca27d0c6d00bc04cd48a773271f7b5604120b6e5c71110772d28d2382448b300

Aliases

arxiv: 1303.0892 · arxiv_version: 1303.0892v3 · doi: 10.48550/arxiv.1303.0892 · pith_short_12: ZIT5BRWQBPAE · pith_short_16: ZIT5BRWQBPAEZVEK · pith_short_8: ZIT5BRWQ

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/ZIT5BRWQBPAEZVEKO4ZHD55VMB \
  | 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: ca27d0c6d00bc04cd48a773271f7b5604120b6e5c71110772d28d2382448b300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d138f48f5b944adc5531b9a8d230e267b0554433653b734be41633ffba78d995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-04T23:41:21Z",
    "title_canon_sha256": "4fc8eeb84286db100e0b6bafab663894509f9356979824fbc2b4a831cbb2ff23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0892",
    "kind": "arxiv",
    "version": 3
  }
}