Pith Number

pith:PSGCJUIO

pith:2015:PSGCJUIOEKS3JMX2P2DSGZTZWE

not attested not anchored not stored refs pending

Absolute continuity of complex Bernoulli convolutions

Boris Solomyak, Pablo Shmerkin

arxiv:1504.00631 v1 · 2015-04-02 · 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{PSGCJUIOEKS3JMX2P2DSGZTZWE}

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	2026-05-18T00:37:42.433824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8c24d10e22a5b4b2fa7e87236679b10a5bfc49b7533ec0bfc7f291d127b0a8

Aliases

arxiv: 1504.00631 · arxiv_version: 1504.00631v1 · doi: 10.48550/arxiv.1504.00631 · pith_short_12: PSGCJUIOEKS3 · pith_short_16: PSGCJUIOEKS3JMX2 · pith_short_8: PSGCJUIO

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/PSGCJUIOEKS3JMX2P2DSGZTZWE \
  | 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: 7c8c24d10e22a5b4b2fa7e87236679b10a5bfc49b7533ec0bfc7f291d127b0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03bde610ed3ec261da909c1337e5a5a43e47d79771bebe059f1808039e05d2c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-02T18:16:07Z",
    "title_canon_sha256": "2ed694470db3785b26ce7ddeb9f5f482fdcb4c62d18e8ec4c0f1b48204c2cf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00631",
    "kind": "arxiv",
    "version": 1
  }
}