Pith Number

pith:CPKFKKLO

pith:2015:CPKFKKLOTW3WOHUGSHHEJSNR7E

not attested not anchored not stored refs pending

Pair correlations of aperiodic inflation rules via renormalisation: Some interesting examples

Franz Gaehler (Bielefeld), Michael Baake (Bielefeld)

arxiv:1511.00885 v1 · 2015-11-03 · math.MG · 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{CPKFKKLOTW3WOHUGSHHEJSNR7E}

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	2026-05-18T01:12:30.496209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d455296e9db7671e8691ce44c9b1f9062083300b5bef391f9d3c9d94085370

Aliases

arxiv: 1511.00885 · arxiv_version: 1511.00885v1 · doi: 10.48550/arxiv.1511.00885 · pith_short_12: CPKFKKLOTW3W · pith_short_16: CPKFKKLOTW3WOHUG · pith_short_8: CPKFKKLO

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/CPKFKKLOTW3WOHUGSHHEJSNR7E \
  | 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: 13d455296e9db7671e8691ce44c9b1f9062083300b5bef391f9d3c9d94085370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477ebed08d9942fa46c3ce27a1a99c3131473f5e346a75e0095d32c559151518",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-11-03T12:46:09Z",
    "title_canon_sha256": "08d490f0202f83d7fcc8cd4eb4beca7d418df8e3bc13b271a2bd33cc718df2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00885",
    "kind": "arxiv",
    "version": 1
  }
}