Pith Number

pith:6YDOVBBI

pith:2017:6YDOVBBIPLFNQVJFXNMT7FQRH6

not attested not anchored not stored refs pending

On singularity of distribution of random variables with independent symbols of Oppenheim expansions

Grygoriy Torbin, Liliia Sinelnyk

arxiv:1706.00953 v2 · 2017-06-03 · 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{6YDOVBBIPLFNQVJFXNMT7FQRH6}

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	2026-05-18T00:42:11.909696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f606ea84287acad85525bb593f96113f8ccf22294fd0202ed3cac4c4d38ffb4e

Aliases

arxiv: 1706.00953 · arxiv_version: 1706.00953v2 · doi: 10.48550/arxiv.1706.00953 · pith_short_12: 6YDOVBBIPLFN · pith_short_16: 6YDOVBBIPLFNQVJF · pith_short_8: 6YDOVBBI

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/6YDOVBBIPLFNQVJFXNMT7FQRH6 \
  | 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: f606ea84287acad85525bb593f96113f8ccf22294fd0202ed3cac4c4d38ffb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28ca2de87027a5bd978bf1beb496bcaac244f758b94b6a59756c8b98aa4b924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-03T13:39:41Z",
    "title_canon_sha256": "5e0aec1a95bbf303d89ebcfc56538d487467d99c632d7f3efa2d420011e941b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00953",
    "kind": "arxiv",
    "version": 2
  }
}