Pith Number

pith:YL5UXN2Z

pith:2018:YL5UXN2ZHOXBLSSXWAFJKLBZIY

not attested not anchored not stored refs pending

Classes of order 4 in the strict class group of number fields and remarks on unramified quadratic extensions of unit type

David S. Dummit

arxiv:1811.05535 v1 · 2018-11-13 · 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{YL5UXN2ZHOXBLSSXWAFJKLBZIY}

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	2026-05-18T00:00:42.703037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2fb4bb7593bae15ca57b00a952c39463f2a74e22979051010cf2e4de9da7b4c

Aliases

arxiv: 1811.05535 · arxiv_version: 1811.05535v1 · doi: 10.48550/arxiv.1811.05535 · pith_short_12: YL5UXN2ZHOXB · pith_short_16: YL5UXN2ZHOXBLSSX · pith_short_8: YL5UXN2Z

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/YL5UXN2ZHOXBLSSXWAFJKLBZIY \
  | 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: c2fb4bb7593bae15ca57b00a952c39463f2a74e22979051010cf2e4de9da7b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e152a7afcacd5523ae07033fca09ce5773bfa8a63091b4193c849d8ba9aa229a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-13T21:38:00Z",
    "title_canon_sha256": "20005d91f046ce14fde4fffad5e225ca4620e431b110aaadf544f52dfe9fec5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05535",
    "kind": "arxiv",
    "version": 1
  }
}