Pith Number

pith:DOPKSANF

pith:2023:DOPKSANFH2FNHBYROZWOMQNUUR

not attested not anchored not stored refs pending

On $k$-free numbers in cyclotomic fields: entropy, symmetries and topological invariants

Alvaro Bustos, Andreas Nickel, Michael Baake

arxiv:2311.18454 v2 · 2023-11-30 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOPKSANFH2FNHBYROZWOMQNUUR}

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

Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts

Receipt and verification

First computed	2026-07-05T11:06:19.624772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9ea901a53e8ad38711766ce641b4a469daff39b6e52c8f756fac50928fa7a1

Aliases

arxiv: 2311.18454 · arxiv_version: 2311.18454v2 · doi: 10.48550/arxiv.2311.18454 · pith_short_12: DOPKSANFH2FN · pith_short_16: DOPKSANFH2FNHBYR · pith_short_8: DOPKSANF

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/DOPKSANFH2FNHBYROZWOMQNUUR \
  | 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: 1b9ea901a53e8ad38711766ce641b4a469daff39b6e52c8f756fac50928fa7a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73cd724ddd559791d56a338098fc531ed303fa74f2b0464922812918a8a38bd0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-11-30T10:55:56Z",
    "title_canon_sha256": "a9ac3cf571102cc32fc3597be3451d443fae68c19e21c8a3b9902a09af6fbb99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18454",
    "kind": "arxiv",
    "version": 2
  }
}