Pith Number

pith:NZZKMFMK

pith:2003:NZZKMFMKRK7HFKIRN3LASUEWMH

not attested not anchored not stored refs pending

Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

Daniel Lenz (Chemnitz), Michael Baake (Bielefeld)

arxiv:math/0302061 v2 · 2003-02-06 · 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{NZZKMFMKRK7HFKIRN3LASUEWMH}

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	2026-05-18T03:28:20.026051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e72a6158a8abe72a9116ed609509661cf595cf3a90d1f43b9bd9fc1442ff66e

Aliases

arxiv: math/0302061 · arxiv_version: math/0302061v2 · doi: 10.48550/arxiv.math/0302061 · pith_short_12: NZZKMFMKRK7H · pith_short_16: NZZKMFMKRK7HFKIR · pith_short_8: NZZKMFMK

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/NZZKMFMKRK7HFKIRN3LASUEWMH \
  | 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: 6e72a6158a8abe72a9116ed609509661cf595cf3a90d1f43b9bd9fc1442ff66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae936c44aa2f4ecd1709ffaaa19249f0d4a6fbe5531a0627ab21f9d82282b6f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-02-06T09:39:42Z",
    "title_canon_sha256": "aedf526641f5662404979cbd2a9dae6a24789c4c90a7019acf4a6ff6a6b4601e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302061",
    "kind": "arxiv",
    "version": 2
  }
}