Pith Number

pith:EV6A4DBZ

pith:2018:EV6A4DBZSXV3SVC3W74I6QICGL

not attested not anchored not stored refs pending

Imaginary quadratic number fields with class groups of small exponent

Andreas-Stephan Elsenhans, Florin Nicolae, J\"urgen Kl\"uners

arxiv:1803.02056 v1 · 2018-03-06 · 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{EV6A4DBZSXV3SVC3W74I6QICGL}

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	2026-05-18T00:21:55.919085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

257c0e0c3995ebb9545bb7f88f410232c5a3bddacf30cc6efb2958008f697111

Aliases

arxiv: 1803.02056 · arxiv_version: 1803.02056v1 · doi: 10.48550/arxiv.1803.02056 · pith_short_12: EV6A4DBZSXV3 · pith_short_16: EV6A4DBZSXV3SVC3 · pith_short_8: EV6A4DBZ

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/EV6A4DBZSXV3SVC3W74I6QICGL \
  | 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: 257c0e0c3995ebb9545bb7f88f410232c5a3bddacf30cc6efb2958008f697111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa4a885baf800652a89b42916a79950fe673b7ee81cea45c18b96d7f30e18d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-06T08:16:17Z",
    "title_canon_sha256": "ca103910cc9d4ddf5d9dade7fd5c1c4b2b12aee755032d68003ea9a88e10ccd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02056",
    "kind": "arxiv",
    "version": 1
  }
}