Pith Number

pith:DYWVZGTP

pith:2018:DYWVZGTPKNL3QIH2ZHRBWJQASY

not attested not anchored not stored refs pending

Class groups of imaginary quadratic fields of $3$-rank at least $2$

Azizul Hoque, Kalyan Chakraborty

arxiv:1802.07919 v2 · 2018-02-22 · 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{DYWVZGTPKNL3QIH2ZHRBWJQASY}

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	2026-05-18T00:21:34.129906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2d5c9a6f5357b820fac9e21b26009618bc0b6ff7b33c1cef951b1046ceb432

Aliases

arxiv: 1802.07919 · arxiv_version: 1802.07919v2 · doi: 10.48550/arxiv.1802.07919 · pith_short_12: DYWVZGTPKNL3 · pith_short_16: DYWVZGTPKNL3QIH2 · pith_short_8: DYWVZGTP

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/DYWVZGTPKNL3QIH2ZHRBWJQASY \
  | 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: 1e2d5c9a6f5357b820fac9e21b26009618bc0b6ff7b33c1cef951b1046ceb432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce5621d36447d5471e15cd8d953e07fc6fab2cd1457d7174676b8eeca195cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-22T07:19:32Z",
    "title_canon_sha256": "bf4a90facd3c9303ef817f848db5763925413deb331673aefc570d8f2a945a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07919",
    "kind": "arxiv",
    "version": 2
  }
}