Pith Number

pith:DTLBKR3X

pith:2021:DTLBKR3XEBIOW5QHT3WATTAOKJ

not attested not anchored not stored refs pending

The $4$-rank of class groups of $K(\sqrt{n})$

Adam Morgan, Harry Smit, Peter Koymans

arxiv:2101.03407 v1 · 2021-01-09 · 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{DTLBKR3XEBIOW5QHT3WATTAOKJ}

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

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields

Receipt and verification

First computed	2026-07-05T02:20:42.989883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd61547772050eb76079eec09cc0e5242aba18cee69e1bea104890693444ea9

Aliases

arxiv: 2101.03407 · arxiv_version: 2101.03407v1 · doi: 10.48550/arxiv.2101.03407 · pith_short_12: DTLBKR3XEBIO · pith_short_16: DTLBKR3XEBIOW5QH · pith_short_8: DTLBKR3X

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/DTLBKR3XEBIOW5QHT3WATTAOKJ \
  | 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: 1cd61547772050eb76079eec09cc0e5242aba18cee69e1bea104890693444ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f70358700a89b0e8b148a169aa227d931ea7bdd588b5b8916119b3f410a489e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-09T18:43:02Z",
    "title_canon_sha256": "bff36d3e4c1c1f2e9562375ccd55f7035d7fac83bf6de9c19fddc5ad414de9f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.03407",
    "kind": "arxiv",
    "version": 1
  }
}