Pith Number

pith:J4UUBCT4

pith:2005:J4UUBCT4PDF3CCHFN7GKJ6HFKK

not attested not anchored not stored refs pending

Characterizations of model sets by dynamical systems

Daniel Lenz (Chemnitz), Michael Baake (Bielefeld), Robert V. Moody (Victoria)

arxiv:math/0511648 v2 · 2005-11-27 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4UUBCT4PDF3CCHFN7GKJ6HFKK}

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.

Cited by

1 paper in Pith

On almost periodicity in crystalline measures

Receipt and verification

First computed	2026-05-17T23:40:27.759860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f29408a7c78cbb108e56fcca4f8e552a58d6a3ef22730a4bc2350124ae609cb

Aliases

arxiv: math/0511648 · arxiv_version: math/0511648v2 · doi: 10.48550/arxiv.math/0511648 · pith_short_12: J4UUBCT4PDF3 · pith_short_16: J4UUBCT4PDF3CCHF · pith_short_8: J4UUBCT4

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/J4UUBCT4PDF3CCHFN7GKJ6HFKK \
  | 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: 4f29408a7c78cbb108e56fcca4f8e552a58d6a3ef22730a4bc2350124ae609cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258a6da226ef5c3ec4b438dfeb3fb11a92c80cdb4c6f3b647b5245d670b31a1b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-11-27T00:23:37Z",
    "title_canon_sha256": "42234605285a7f6ac94ce57e2feeac012b62b7891de841e33d2305af75e0857a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511648",
    "kind": "arxiv",
    "version": 2
  }
}