Pith Number

pith:K6B4AVSQ

pith:2016:K6B4AVSQPKBUBFMO4MY3BMN2DT

not attested not anchored not stored refs pending

Small Ball Probabilities for the Infinite-Dimensional Ornstein-Uhlenbeck Process in Sobolev Spaces

Sergey V. Lototsky

arxiv:1603.08279 v1 · 2016-03-28 · 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{K6B4AVSQPKBUBFMO4MY3BMN2DT}

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	2026-05-18T01:18:12.659670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5783c056507a8340958ee331b0b1ba1ce51a7bc1541ba3cb518d91037979c9d1

Aliases

arxiv: 1603.08279 · arxiv_version: 1603.08279v1 · doi: 10.48550/arxiv.1603.08279 · pith_short_12: K6B4AVSQPKBU · pith_short_16: K6B4AVSQPKBUBFMO · pith_short_8: K6B4AVSQ

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/K6B4AVSQPKBUBFMO4MY3BMN2DT \
  | 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: 5783c056507a8340958ee331b0b1ba1ce51a7bc1541ba3cb518d91037979c9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa2e84b6b97dbd79408da96e279aca9cd131bffcb5c747e67a0fc28af9c958d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-28T01:39:17Z",
    "title_canon_sha256": "e791762683b419377a41823be494d4ecc45704c86dff2e8f5112460a69564d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08279",
    "kind": "arxiv",
    "version": 1
  }
}