Pith Number

pith:BZJFSVRR

pith:2013:BZJFSVRR52E27DZL4KMJPCRC4R

not attested not anchored not stored refs pending

On the exceptional set for absolute continuity of Bernoulli convolutions

Pablo Shmerkin

arxiv:1303.3992 v2 · 2013-03-16 · math.DS · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZJFSVRR52E27DZL4KMJPCRC4R}

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	2026-05-18T01:27:46.855076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e52595631ee89af8f2be298978a22e45307924be49a7a927543376321ce8014

Aliases

arxiv: 1303.3992 · arxiv_version: 1303.3992v2 · doi: 10.48550/arxiv.1303.3992 · pith_short_12: BZJFSVRR52E2 · pith_short_16: BZJFSVRR52E27DZL · pith_short_8: BZJFSVRR

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/BZJFSVRR52E27DZL4KMJPCRC4R \
  | 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: 0e52595631ee89af8f2be298978a22e45307924be49a7a927543376321ce8014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024d6488bed15a6ffc94bb9419b677e65b6c242975abdfc8bb2d880c358fb7f1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-16T15:35:41Z",
    "title_canon_sha256": "5e87b331924d98411d6c2d9025e6409cbbd2ba94cccba3dd61d4d5b1c32c1425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3992",
    "kind": "arxiv",
    "version": 2
  }
}