Pith Number

pith:UQVS5SOP

pith:2018:UQVS5SOPADIO2VIX5KOEIQXCDO

not attested not anchored not stored refs pending

Class number divisibility for imaginary quadratic fields

Olivia Beckwith

arxiv:1809.05750 v1 · 2018-09-15 · 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{UQVS5SOPADIO2VIX5KOEIQXCDO}

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	2026-05-18T00:05:36.630419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a42b2ec9cf00d0ed5517ea9c4442e21bb7345f9a4f574f2b0d3a6b8bb90f776f

Aliases

arxiv: 1809.05750 · arxiv_version: 1809.05750v1 · doi: 10.48550/arxiv.1809.05750 · pith_short_12: UQVS5SOPADIO · pith_short_16: UQVS5SOPADIO2VIX · pith_short_8: UQVS5SOP

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/UQVS5SOPADIO2VIX5KOEIQXCDO \
  | 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: a42b2ec9cf00d0ed5517ea9c4442e21bb7345f9a4f574f2b0d3a6b8bb90f776f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f98f9cefc49ae8b9daabd9c934ec55c12584214e9efd6d97d0ca6ced819b3e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-15T17:51:45Z",
    "title_canon_sha256": "c1c94c0421a833302459b2d6c06118936b700391c6c09ed14fb937632685cac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05750",
    "kind": "arxiv",
    "version": 1
  }
}