Pith Number

pith:JUGH7ELO

pith:2018:JUGH7ELOLFYMKJRMLH52LDDXYI

not attested not anchored not stored refs pending

On Lin's condition for products of random variables with joint singular distribution

Alexander Il'inskii, Sofiya Ostrovska

arxiv:1806.07646 v1 · 2018-06-20 · 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{JUGH7ELOLFYMKJRMLH52LDDXYI}

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	2026-05-18T00:12:47.123482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d0c7f916e5970c5262c59fba58c77c2223e34e054421c008e5722ec7239d53b

Aliases

arxiv: 1806.07646 · arxiv_version: 1806.07646v1 · doi: 10.48550/arxiv.1806.07646 · pith_short_12: JUGH7ELOLFYM · pith_short_16: JUGH7ELOLFYMKJRM · pith_short_8: JUGH7ELO

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/JUGH7ELOLFYMKJRMLH52LDDXYI \
  | 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: 4d0c7f916e5970c5262c59fba58c77c2223e34e054421c008e5722ec7239d53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2761bf13ae812d1dc4c77387d1f3e7658e4991a1429d20433fb6e0b085b5e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-20T10:05:01Z",
    "title_canon_sha256": "0a83d0cee149ab36b13cdfe5bcfb8b1e1426a1cb4ade3cb8811e50c90da3a343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07646",
    "kind": "arxiv",
    "version": 1
  }
}