Pith Number

pith:7AE3KYVV

pith:2016:7AE3KYVV7XQFMC6THZFFRHVBBS

not attested not anchored not stored refs pending

The distribution of class numbers in a special family of real quadratic fields

Alexander Dahl, Youness Lamzouri

arxiv:1603.00889 v2 · 2016-03-02 · 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{7AE3KYVV7XQFMC6THZFFRHVBBS}

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	2026-05-18T00:59:25.781504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f809b562b5fde0560bd33e4a589ea10cb2e7508bd422f7cca8750116c80eee9d

Aliases

arxiv: 1603.00889 · arxiv_version: 1603.00889v2 · doi: 10.48550/arxiv.1603.00889 · pith_short_12: 7AE3KYVV7XQF · pith_short_16: 7AE3KYVV7XQFMC6T · pith_short_8: 7AE3KYVV

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/7AE3KYVV7XQFMC6THZFFRHVBBS \
  | 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: f809b562b5fde0560bd33e4a589ea10cb2e7508bd422f7cca8750116c80eee9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3af9133162413481886676eac929855fc11da565b9f7d7992140588974f1a0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-02T21:09:35Z",
    "title_canon_sha256": "f1b83bbe5c74640dcea5de4b2ad8781ea82ea54c8db8724e938be1f0d66063bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00889",
    "kind": "arxiv",
    "version": 2
  }
}