Pith Number

pith:T22Y64DI

pith:2015:T22Y64DIQJWZHKVTQTUPEFFJGX

not attested not anchored not stored refs pending

Missing class groups and class number statistics for imaginary quadratic fields

Cam McLeman, Kathleen L. Petersen, Nathan Jones, P\"ar Kurlberg, Samuel Holmin

arxiv:1510.04387 v1 · 2015-10-15 · 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{T22Y64DIQJWZHKVTQTUPEFFJGX}

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	2026-05-18T01:30:07.319657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb58f7068826d93aab384e8f214a935faa302715809142306dd3ad05e28c570

Aliases

arxiv: 1510.04387 · arxiv_version: 1510.04387v1 · doi: 10.48550/arxiv.1510.04387 · pith_short_12: T22Y64DIQJWZ · pith_short_16: T22Y64DIQJWZHKVT · pith_short_8: T22Y64DI

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/T22Y64DIQJWZHKVTQTUPEFFJGX \
  | 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: 9eb58f7068826d93aab384e8f214a935faa302715809142306dd3ad05e28c570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37342fcfa672c71cd2434a759448e87b10a9460e48604645d1a954a2102a939c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-15T03:45:14Z",
    "title_canon_sha256": "d0bf626cbc2e711822bca20edddf815568a627156ccd2fd47cd2e2522c57f3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04387",
    "kind": "arxiv",
    "version": 1
  }
}