Pith Number

pith:7WKTWMCF

pith:2024:7WKTWMCFTDNQIJIIDILVAKZL47

not attested not anchored not stored refs pending

Power Savings for Counting (Twisted) Abelian Extensions of Number Fields

Brandon Alberts

arxiv:2402.03475 v2 · 2024-02-05 · 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{7WKTWMCFTDNQIJIIDILVAKZL47}

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

2 papers in Pith

Counting number fields using multiple Dirichlet series

A guide to Tauberian theorems for arithmetic applications

Receipt and verification

First computed	2026-07-05T07:47:08.797048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd953b304598db0425081a17502b2be7f672f12bf93f440688716b6c63fa7b22

Aliases

arxiv: 2402.03475 · arxiv_version: 2402.03475v2 · doi: 10.48550/arxiv.2402.03475 · pith_short_12: 7WKTWMCFTDNQ · pith_short_16: 7WKTWMCFTDNQIJII · pith_short_8: 7WKTWMCF

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/7WKTWMCFTDNQIJIIDILVAKZL47 \
  | 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: fd953b304598db0425081a17502b2be7f672f12bf93f440688716b6c63fa7b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba0178f94a574fafad8bff858092d3e37d3fed3950035a1ffc19a5f22b69bc0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-05T19:35:54Z",
    "title_canon_sha256": "a6c5bf46ed19a69821c0cd94dafc3116476fde3290ba997463fe3e557e93e51f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.03475",
    "kind": "arxiv",
    "version": 2
  }
}