Pith Number

pith:7CVYRZI6

pith:2018:7CVYRZI6DYVPFHWKD3Q33P23IX

not attested not anchored not stored refs pending

Laws of large numbers for Hayashi-Yoshida-type functionals

Mathias Vetter, Ole Martin

arxiv:1803.05653 v1 · 2018-03-15 · 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{7CVYRZI6DYVPFHWKD3Q33P23IX}

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	2026-05-18T00:20:54.982428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ab88e51e1e2af29eca1ee1bdbf5b45ce184ecd61399a7ef36ac6e8ffc9648e

Aliases

arxiv: 1803.05653 · arxiv_version: 1803.05653v1 · doi: 10.48550/arxiv.1803.05653 · pith_short_12: 7CVYRZI6DYVP · pith_short_16: 7CVYRZI6DYVPFHWK · pith_short_8: 7CVYRZI6

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/7CVYRZI6DYVPFHWKD3Q33P23IX \
  | 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: f8ab88e51e1e2af29eca1ee1bdbf5b45ce184ecd61399a7ef36ac6e8ffc9648e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be2aa614b1d13619cddd4325873cd6b98354e99aa38022d9f43233c85f43267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-15T09:25:49Z",
    "title_canon_sha256": "809da2901284eb6990f2167143abb6e664df92b4f947b3a229fef9a44f22975b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05653",
    "kind": "arxiv",
    "version": 1
  }
}