Pith Number

pith:7HNMPIVM

pith:2018:7HNMPIVMSRX5ORRMJ75BELKYY7

not attested not anchored not stored refs pending

Non-central limit theorems for functionals of random fields on hypersurfaces

Andriy Olenko, Volodymyr Vaskovych

arxiv:1810.09285 v1 · 2018-10-19 · math.PR · 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{7HNMPIVMSRX5ORRMJ75BELKYY7}

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	2026-05-18T00:02:40.597226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9dac7a2ac946fd7462c4ffa122d58c7e5738846cde8c6e4e0471c50d60bd9d9

Aliases

arxiv: 1810.09285 · arxiv_version: 1810.09285v1 · doi: 10.48550/arxiv.1810.09285 · pith_short_12: 7HNMPIVMSRX5 · pith_short_16: 7HNMPIVMSRX5ORRM · pith_short_8: 7HNMPIVM

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/7HNMPIVMSRX5ORRMJ75BELKYY7 \
  | 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: f9dac7a2ac946fd7462c4ffa122d58c7e5738846cde8c6e4e0471c50d60bd9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1d3b7bf04a8a2f6c1fbf917d0c4f27f494dd53cf2d53bf918e811c620c1de0",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-19T12:29:16Z",
    "title_canon_sha256": "383d5454bd28a9f28fa3bc78cc3f2f01c61cf2eff215bc17585ed85c7b66528a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09285",
    "kind": "arxiv",
    "version": 1
  }
}