Pith Number

pith:3IVGBEIY

pith:2022:3IVGBEIYZZQLEYEBJYA74Q2L5A

not attested not anchored not stored refs pending

Congruences on the class numbers of $\mathbb{Q}(\sqrt{\pm 2p})$ for $p\equiv3$ $(\text{mod }4)$ a prime

Jigu Kim, Yoshinori Mizuno

arxiv:2210.02668 v1 · 2022-10-06 · 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{3IVGBEIYZZQLEYEBJYA74Q2L5A}

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	2026-07-05T05:03:55.249672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2a609118ce60b260814e01fe434be8105f4e42f0805320a3be9a505996f075

Aliases

arxiv: 2210.02668 · arxiv_version: 2210.02668v1 · doi: 10.48550/arxiv.2210.02668 · pith_short_12: 3IVGBEIYZZQL · pith_short_16: 3IVGBEIYZZQLEYEB · pith_short_8: 3IVGBEIY

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/3IVGBEIYZZQLEYEBJYA74Q2L5A \
  | 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: da2a609118ce60b260814e01fe434be8105f4e42f0805320a3be9a505996f075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71172ea41408d562fa35425a4000bb1c96aef4f0e87bd7957a9248d00d0b5c0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-06T04:08:58Z",
    "title_canon_sha256": "2b6cb8fc0a9f83057db811ab28573ba5e077a55094af575cf90d77b57e86e1c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02668",
    "kind": "arxiv",
    "version": 1
  }
}