Pith Number

pith:KOS5AM3Z

pith:2026:KOS5AM3ZK7FNDO6JERKGIE6CMZ

not attested not anchored not stored refs pending

Law of Iterated Logarithm for Weighted Sums of Functionals of Long-Memory Gaussian Sequences

Elina Moldavskaya

arxiv:2606.21006 v1 · 2026-06-19 · 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{KOS5AM3ZK7FNDO6JERKGIE6CMZ}

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	2026-06-23T01:12:25.181077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a5d0337957cad1bbc924546413c26642d38679678c7d8ddb7738a6ce397dda

Aliases

arxiv: 2606.21006 · arxiv_version: 2606.21006v1 · doi: 10.48550/arxiv.2606.21006 · pith_short_12: KOS5AM3ZK7FN · pith_short_16: KOS5AM3ZK7FNDO6J · pith_short_8: KOS5AM3Z

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/KOS5AM3ZK7FNDO6JERKGIE6CMZ \
  | 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: 53a5d0337957cad1bbc924546413c26642d38679678c7d8ddb7738a6ce397dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5557b7213106660219c787390a8d05e40d70bdff05023278cb4bbdb08842f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-19T00:39:04Z",
    "title_canon_sha256": "22f5b33c6ba21227a76e1a71cae4b98449f6733b071d31908166c2fe671b83a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21006",
    "kind": "arxiv",
    "version": 1
  }
}