Pith Number

pith:3XQBEBMD

pith:2012:3XQBEBMDDKS4KOO3MOGIN3U7D5

not attested not anchored not stored refs pending

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

David Nualart, Jason Swanson, Krzysztof Burdzy

arxiv:1210.1560 v1 · 2012-10-04 · 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{3XQBEBMDDKS4KOO3MOGIN3U7D5}

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	2026-05-18T03:44:03.137426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde01205831aa5c539db638c86ee9f1f68703c3f405dccf6d088f47ca4163049

Aliases

arxiv: 1210.1560 · arxiv_version: 1210.1560v1 · doi: 10.48550/arxiv.1210.1560 · pith_short_12: 3XQBEBMDDKS4 · pith_short_16: 3XQBEBMDDKS4KOO3 · pith_short_8: 3XQBEBMD

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/3XQBEBMDDKS4KOO3MOGIN3U7D5 \
  | 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: dde01205831aa5c539db638c86ee9f1f68703c3f405dccf6d088f47ca4163049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54e061f6d2700133a9a0a098e88b56fa018412359bb2a93abb961e1bea35ed2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-04T19:42:59Z",
    "title_canon_sha256": "f3889a3d0e17cbbba373e79e63b87c8c6cc77fc09c272d5ed699420b4550d48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1560",
    "kind": "arxiv",
    "version": 1
  }
}