Pith Number

pith:SRODI72W

pith:2015:SRODI72WMK7662YDS63SII3BZR

not attested not anchored not stored refs pending

Finite orbits in multivalued maps and Bernoulli convolutions

Christoph Bandt

arxiv:1509.08672 v3 · 2015-09-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRODI72WMK7662YDS63SII3BZR}

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	2026-05-18T00:29:33.786493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

945c347f5662bfef6b0397b7242361cc4bd9867ca02d46e8ba399ccda0442efd

Aliases

arxiv: 1509.08672 · arxiv_version: 1509.08672v3 · doi: 10.48550/arxiv.1509.08672 · pith_short_12: SRODI72WMK76 · pith_short_16: SRODI72WMK7662YD · pith_short_8: SRODI72W

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/SRODI72WMK7662YDS63SII3BZR \
  | 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: 945c347f5662bfef6b0397b7242361cc4bd9867ca02d46e8ba399ccda0442efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0e4b57bb6e3e87e5e1428c8f0ed23d93f72d853a5ae777b0ab0bc39de0148c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-29T10:07:43Z",
    "title_canon_sha256": "bed1d2ccec061bc12e5f80000841f3f2a6799d325c1cc968edf245c579fb53e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08672",
    "kind": "arxiv",
    "version": 3
  }
}