Pith Number

pith:MRZLJ4PO

pith:2024:MRZLJ4POQ6LLJKVD6CVQYRUTES

not attested not anchored not stored refs pending

Imaginary logarithmic classes of abelian number fields

Jean-Fran\c{c}ois Jaulent (IMB)

arxiv:2406.18929 v1 · 2024-06-27 · 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{MRZLJ4POQ6LLJKVD6CVQYRUTES}

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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

1 paper in Pith

On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-Fran\c{c}ois Jaulent

Receipt and verification

First computed	2026-07-05T08:37:27.668409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6472b4f1ee8796b4aaa3f0ab0c4693249176dd08717dd47aae956b5b30a38eee

Aliases

arxiv: 2406.18929 · arxiv_version: 2406.18929v1 · doi: 10.48550/arxiv.2406.18929 · pith_short_12: MRZLJ4POQ6LL · pith_short_16: MRZLJ4POQ6LLJKVD · pith_short_8: MRZLJ4PO

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/MRZLJ4POQ6LLJKVD6CVQYRUTES \
  | 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: 6472b4f1ee8796b4aaa3f0ab0c4693249176dd08717dd47aae956b5b30a38eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c39780db1eb9266c883e7158cbde9a6a1ec24d71ae4c3067ff7f6b214bed64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-27T06:49:28Z",
    "title_canon_sha256": "6b824adfe5e0e27a232027616de4ae3815026076962b4477977137e96481c17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18929",
    "kind": "arxiv",
    "version": 1
  }
}