Pith Number

pith:JHM6KMNL

pith:2017:JHM6KMNLLUJYT5OPGMQBQFCLSD

not attested not anchored not stored refs pending

Spectral analysis of a family of binary inflation rules

Michael Baake (Bielefeld), Neil Manibo (Bielefeld), Uwe Grimm (Milton Keynes)

arxiv:1709.09083 v2 · 2017-09-26 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHM6KMNLLUJYT5OPGMQBQFCLSD}

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	2026-05-18T00:11:57.897171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d9e531ab5d1389f5cf332018144b90ffb17666d4722659283c109084808033

Aliases

arxiv: 1709.09083 · arxiv_version: 1709.09083v2 · doi: 10.48550/arxiv.1709.09083 · pith_short_12: JHM6KMNLLUJY · pith_short_16: JHM6KMNLLUJYT5OP · pith_short_8: JHM6KMNL

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/JHM6KMNLLUJYT5OPGMQBQFCLSD \
  | 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: 49d9e531ab5d1389f5cf332018144b90ffb17666d4722659283c109084808033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12d5d7336467277718c702485b02c32b0c60188d2e9770cdd48e4751165f1ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-26T15:14:48Z",
    "title_canon_sha256": "914670dfc08e6d48a5e5c8c6d2fb79d61112da3e2ea45da24932297a2d9592cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09083",
    "kind": "arxiv",
    "version": 2
  }
}