Pith Number

pith:QJSVA7ZE

pith:2016:QJSVA7ZEPVQK75E6XWLWMWITCX

not attested not anchored not stored refs pending

An explicit family of cubic number fields with large $2$-rank of the class group

Avinash Kulkarni

arxiv:1610.07668 v2 · 2016-10-24 · 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{QJSVA7ZEPVQK75E6XWLWMWITCX}

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	2026-05-18T00:39:13.067820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8265507f247d60aff49ebd9766591315df1f8c61dd0c717f894d6b7f37ea8ed3

Aliases

arxiv: 1610.07668 · arxiv_version: 1610.07668v2 · doi: 10.48550/arxiv.1610.07668 · pith_short_12: QJSVA7ZEPVQK · pith_short_16: QJSVA7ZEPVQK75E6 · pith_short_8: QJSVA7ZE

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/QJSVA7ZEPVQK75E6XWLWMWITCX \
  | 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: 8265507f247d60aff49ebd9766591315df1f8c61dd0c717f894d6b7f37ea8ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db20727d350f5e34033b8568998cc89a966911ae88c17a48783f67e7863210b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-24T22:16:28Z",
    "title_canon_sha256": "fc7a5212a82ca3902f7c7eea721f0e53d4bf109c18a69ffb0c3e5a048c9368fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07668",
    "kind": "arxiv",
    "version": 2
  }
}