Pith Number

pith:U245ZNO4

pith:2025:U245ZNO4VH6OQWW45PXTOXRMBQ

not attested not anchored not stored refs pending

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields

Brandon Alberts

arxiv:2508.20814 v1 · 2025-08-28 · 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{U245ZNO4VH6OQWW45PXTOXRMBQ}

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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

Erd\H{o}s-Kac theorems for discriminants of number fields

A guide to Tauberian theorems for arithmetic applications

Receipt and verification

First computed	2026-07-05T12:01:11.512003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b9dcb5dca9fce85adcebef375e2c0c030e160b0046ab062f6f038a778891ff

Aliases

arxiv: 2508.20814 · arxiv_version: 2508.20814v1 · doi: 10.48550/arxiv.2508.20814 · pith_short_12: U245ZNO4VH6O · pith_short_16: U245ZNO4VH6OQWW4 · pith_short_8: U245ZNO4

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/U245ZNO4VH6OQWW45PXTOXRMBQ \
  | 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: a6b9dcb5dca9fce85adcebef375e2c0c030e160b0046ab062f6f038a778891ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e3fdca310f966860a45ecd58fdeef1250f6e43b37ce5173d2f75811bb01774",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-28T14:13:44Z",
    "title_canon_sha256": "3b82c7f149399ec1ae5bd2619dbd7db33eecbf79225267e6a7eae5f20b3789e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20814",
    "kind": "arxiv",
    "version": 1
  }
}