Pith Number

pith:DJEJUZA5

pith:2025:DJEJUZA5H2UVYJGBR6WVAPXQFV

not attested not anchored not stored refs pending

Dynamical spectrum of power-free integers in quadratic number fields and beyond

Daniel Luz, Michael Baake, Tanja Schindler

arxiv:2502.17736 v3 · 2025-02-25 · math.DS · 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{DJEJUZA5H2UVYJGBR6WVAPXQFV}

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	2026-06-19T16:11:10.118240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a489a641d3ea95c24c18fad503ef02d61edc71530353aa7c04a58a08ebe3c3f

Aliases

arxiv: 2502.17736 · arxiv_version: 2502.17736v3 · doi: 10.48550/arxiv.2502.17736 · pith_short_12: DJEJUZA5H2UV · pith_short_16: DJEJUZA5H2UVYJGB · pith_short_8: DJEJUZA5

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/DJEJUZA5H2UVYJGBR6WVAPXQFV \
  | 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: 1a489a641d3ea95c24c18fad503ef02d61edc71530353aa7c04a58a08ebe3c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef41d92906bd22c5133d0add509865808a49af248d88a65d129b2fa9442fec82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-25T00:10:59Z",
    "title_canon_sha256": "20524c4434130f31ca0c1682abfa38fbf1a658f7ec33da16199c9263f7cf8a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.17736",
    "kind": "arxiv",
    "version": 3
  }
}