Pith Number

pith:57B6RZ5R

pith:2017:57B6RZ5R5LIUQXANQROQ2HXWHD

not attested not anchored not stored refs pending

The unusual properties of aggregated superpositions of Ornstein-Uhlenbeck type processes

Anna Sikorskii, Danijel Grahovac, Murad S. Taqqu, Nikolai N. Leonenko

arxiv:1708.02178 v1 · 2017-08-07 · 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{57B6RZ5R5LIUQXANQROQ2HXWHD}

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	2026-05-18T00:38:31.853860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc3e8e7b1ead1485c0d845d0d1ef638ed47633136907374c6d68ad19b47ca88

Aliases

arxiv: 1708.02178 · arxiv_version: 1708.02178v1 · doi: 10.48550/arxiv.1708.02178 · pith_short_12: 57B6RZ5R5LIU · pith_short_16: 57B6RZ5R5LIUQXAN · pith_short_8: 57B6RZ5R

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/57B6RZ5R5LIUQXANQROQ2HXWHD \
  | 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: efc3e8e7b1ead1485c0d845d0d1ef638ed47633136907374c6d68ad19b47ca88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0213b6f98caaee4b9010e238f4cec4af7e2bb5f0b2707c5550b652ccc909d41f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-07T15:57:07Z",
    "title_canon_sha256": "e12b3be6c209271fcb82f2c98735f28a328ed6c859ce1e0c3ba04c6f054d1811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02178",
    "kind": "arxiv",
    "version": 1
  }
}