Pith Number

pith:U7WMLDMA

pith:2014:U7WMLDMAC4CCEC5UY6JYYTTBO7

not attested not anchored not stored refs pending

Quasicrystals with discrete support and spectrum

Alexander Olevskii, Nir Lev

arxiv:1501.00085 v3 · 2014-12-31 · math.CA · 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{U7WMLDMAC4CCEC5UY6JYYTTBO7}

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	2026-05-18T01:33:48.879059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ecc58d801704220bb4c7938c4e6177de6cb3d96b78bbf402954670811341cf

Aliases

arxiv: 1501.00085 · arxiv_version: 1501.00085v3 · doi: 10.48550/arxiv.1501.00085 · pith_short_12: U7WMLDMAC4CC · pith_short_16: U7WMLDMAC4CCEC5U · pith_short_8: U7WMLDMA

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/U7WMLDMAC4CCEC5UY6JYYTTBO7 \
  | 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: a7ecc58d801704220bb4c7938c4e6177de6cb3d96b78bbf402954670811341cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34e9433265c080dafd4b77277a1af83f832f6c73c57f8d68e4c837e7337495ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-31T07:05:19Z",
    "title_canon_sha256": "030d65503b1617640c44229633c4ed31b2503d5547ced970de448c5fdad8d9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00085",
    "kind": "arxiv",
    "version": 3
  }
}