Pith Number

pith:5RIR32C2

pith:2015:5RIR32C2XPDD2LIHBJOKIQJ7IV

not attested not anchored not stored refs pending

On Bernoulli convolutions generated by second Ostrogradsky series and their fine fractal properties

Grygoriy Torbin, Iryna Pratsiovyta, Mykola Pratsiovytyi, Sergio Albeverio

arxiv:1506.04357 v1 · 2015-06-14 · 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{5RIR32C2XPDD2LIHBJOKIQJ7IV}

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	2026-05-18T01:49:54.751195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec511de85abbc63d2d070a5ca4413f457edf6b0aae687b8745972e52c3ff0655

Aliases

arxiv: 1506.04357 · arxiv_version: 1506.04357v1 · doi: 10.48550/arxiv.1506.04357 · pith_short_12: 5RIR32C2XPDD · pith_short_16: 5RIR32C2XPDD2LIH · pith_short_8: 5RIR32C2

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/5RIR32C2XPDD2LIHBJOKIQJ7IV \
  | 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: ec511de85abbc63d2d070a5ca4413f457edf6b0aae687b8745972e52c3ff0655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4dedc252d5a69fb057b6d391efc6282135a7d846d5aec871362078b69a8fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-14T06:59:06Z",
    "title_canon_sha256": "8eebb83588fc5fc8577a19af0ac5210f1a72b6ea7be30fd77cba8302e3fbdd10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04357",
    "kind": "arxiv",
    "version": 1
  }
}