Pith Number

pith:VD2SIWD2

pith:2016:VD2SIWD2VNRXMWQGIW5O53PX2P

not attested not anchored not stored refs pending

A note on central limit theorems for quadratic variation in case of endogenous observation times

Mathias Vetter, Tobias Zwingmann

arxiv:1605.07056 v1 · 2016-05-23 · 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{VD2SIWD2VNRXMWQGIW5O53PX2P}

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	2026-05-18T01:14:10.467743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f524587aab63765a0645baeeedf7d3ee6c9be4af044286fdfd7c5c3ea780bb

Aliases

arxiv: 1605.07056 · arxiv_version: 1605.07056v1 · doi: 10.48550/arxiv.1605.07056 · pith_short_12: VD2SIWD2VNRX · pith_short_16: VD2SIWD2VNRXMWQG · pith_short_8: VD2SIWD2

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/VD2SIWD2VNRXMWQGIW5O53PX2P \
  | 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: a8f524587aab63765a0645baeeedf7d3ee6c9be4af044286fdfd7c5c3ea780bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4517fedd2ac254b0bbf3838b10eb525789c6ea841814ab1beb59aaf0a227dea8",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-05-23T15:16:27Z",
    "title_canon_sha256": "ad3572852d372b701ff47ea719fb805f54ae5c656199936d1a38c8f490bbf45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07056",
    "kind": "arxiv",
    "version": 1
  }
}