Pith Number

pith:PN66RF2Y

pith:2016:PN66RF2YA4FD5K64MLIGSQNPIG

not attested not anchored not stored refs pending

The two-dimensional density of Bernoulli Convolutions

Christoph Bandt

arxiv:1604.00308 v2 · 2016-04-01 · 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{PN66RF2YA4FD5K64MLIGSQNPIG}

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	2026-05-18T01:10:39.799042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7de89758070a3eabdc62d06941af41abc00d366fecc28cfb641630c4db5fdd

Aliases

arxiv: 1604.00308 · arxiv_version: 1604.00308v2 · doi: 10.48550/arxiv.1604.00308 · pith_short_12: PN66RF2YA4FD · pith_short_16: PN66RF2YA4FD5K64 · pith_short_8: PN66RF2Y

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/PN66RF2YA4FD5K64MLIGSQNPIG \
  | 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: 7b7de89758070a3eabdc62d06941af41abc00d366fecc28cfb641630c4db5fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1359c7322bc993b42669889bbc7f8de0152ec97b4e06b052bd8a98396db88ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-01T16:04:11Z",
    "title_canon_sha256": "f79ea49b27e59d7747a7180fd87e2687603861afba5c49086957e0ba5c7be3a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00308",
    "kind": "arxiv",
    "version": 2
  }
}