Pith Number

pith:TGRECVV3

pith:2017:TGRECVV3WYFRTRK3YX6K6MEGYC

not attested not anchored not stored refs pending

Singular non-Pisot Bernoulli convolutions

Charlene Kalle, Karma Dajani

arxiv:1708.05544 v2 · 2017-08-18 · 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{TGRECVV3WYFRTRK3YX6K6MEGYC}

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	2026-05-18T00:37:44.568713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a24156bbb60b19c55bc5fcaf3086c08d147fdbdcd15c2b28a1610593922345

Aliases

arxiv: 1708.05544 · arxiv_version: 1708.05544v2 · doi: 10.48550/arxiv.1708.05544 · pith_short_12: TGRECVV3WYFR · pith_short_16: TGRECVV3WYFRTRK3 · pith_short_8: TGRECVV3

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/TGRECVV3WYFRTRK3YX6K6MEGYC \
  | 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: 99a24156bbb60b19c55bc5fcaf3086c08d147fdbdcd15c2b28a1610593922345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69381f5656b1bf0f0e5cd6403ac440e0a89a251631e21e517270dff309fca4d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-18T09:50:16Z",
    "title_canon_sha256": "db21b963ee7068d4d21df5f962aa17856ff63c7eb13ff6ca75d58a0d0f5c101b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05544",
    "kind": "arxiv",
    "version": 2
  }
}