Pith Number

pith:VJBVVOSQ

pith:2011:VJBVVOSQFUDF5D53REUK4TDG5I

not attested not anchored not stored refs pending

An estimator for the quadratic covariation of asynchronously observed It\^o processes with noise: Asymptotic distribution theory

Markus Bibinger

arxiv:1106.4228 v1 · 2011-06-21 · 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{VJBVVOSQFUDF5D53REUK4TDG5I}

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	2026-05-18T04:19:33.866336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa435aba502d065e8fbb8928ae4c66ea1499c1fee9d460f9931ff763fe895191

Aliases

arxiv: 1106.4228 · arxiv_version: 1106.4228v1 · doi: 10.48550/arxiv.1106.4228 · pith_short_12: VJBVVOSQFUDF · pith_short_16: VJBVVOSQFUDF5D53 · pith_short_8: VJBVVOSQ

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/VJBVVOSQFUDF5D53REUK4TDG5I \
  | 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: aa435aba502d065e8fbb8928ae4c66ea1499c1fee9d460f9931ff763fe895191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98a5238d6d552055a08d10c74ce1e58fb737f74e4c5716bc28504f34f2056ac",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-06-21T15:15:23Z",
    "title_canon_sha256": "0709aca230e8ddf7386c66c986e9a9c20c150bed6db3c567e3c5bbf1684b58ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4228",
    "kind": "arxiv",
    "version": 1
  }
}