Pith Number

pith:S4IW4RX7

pith:2016:S4IW4RX7OQNF43NDCSNBP266ZX

not attested not anchored not stored refs pending

Indivisibility of class numbers of imaginary quadratic fields

Olivia Beckwith

arxiv:1612.04443 v4 · 2016-12-14 · 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{S4IW4RX7OQNF43NDCSNBP266ZX}

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	2026-05-18T00:31:22.270085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97116e46ff741a5e6da3149a17ebdecdec0cb83515928d46125e3aacaaa38dfb

Aliases

arxiv: 1612.04443 · arxiv_version: 1612.04443v4 · doi: 10.48550/arxiv.1612.04443 · pith_short_12: S4IW4RX7OQNF · pith_short_16: S4IW4RX7OQNF43ND · pith_short_8: S4IW4RX7

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/S4IW4RX7OQNF43NDCSNBP266ZX \
  | 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: 97116e46ff741a5e6da3149a17ebdecdec0cb83515928d46125e3aacaaa38dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd76a025f526f027634c4d4e9e87f452f2ebcb00effad1424fc356bebd08362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-14T00:34:09Z",
    "title_canon_sha256": "7810c2668aa41b4a14d3c65924148779ae1cf11a48bed4bb18882e51a5121f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04443",
    "kind": "arxiv",
    "version": 4
  }
}