Pith Number

pith:HPTDQGYJ

pith:2018:HPTDQGYJ6GSGF7KUWXLB6PQWSW

not attested not anchored not stored refs pending

A family of pairs of imaginary cyclic fields of degree $(p-1)/2$ with both class numbers divisible by $p$

Miho Aoki, Yasuhiro Kishi

arxiv:1809.07982 v1 · 2018-09-21 · 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{HPTDQGYJ6GSGF7KUWXLB6PQWSW}

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	2026-05-18T00:05:10.687574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be6381b09f1a462fd54b5d61f3e16958f992cde4ac9dd3a6f52b0849cddb778

Aliases

arxiv: 1809.07982 · arxiv_version: 1809.07982v1 · doi: 10.48550/arxiv.1809.07982 · pith_short_12: HPTDQGYJ6GSG · pith_short_16: HPTDQGYJ6GSGF7KU · pith_short_8: HPTDQGYJ

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/HPTDQGYJ6GSGF7KUWXLB6PQWSW \
  | 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: 3be6381b09f1a462fd54b5d61f3e16958f992cde4ac9dd3a6f52b0849cddb778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94572a8ef977d4a516701ac0a1cb8708f6a5b28452af7d84082e90c2b5a8704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-21T08:25:27Z",
    "title_canon_sha256": "49ab598743e03e94672c9c79460c528d6304d715e39b417e2d8ede3f2b56134f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07982",
    "kind": "arxiv",
    "version": 1
  }
}