Pith Number

pith:MI6SU7FB

pith:2016:MI6SU7FB4C5ABVXAQPRJXMCBYU

not attested not anchored not stored refs pending

Distribution of class numbers in continued fraction families of real quadratic fields

Alexander Dahl, V\'it\v{e}zslav Kala

arxiv:1611.02424 v1 · 2016-11-08 · 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{MI6SU7FB4C5ABVXAQPRJXMCBYU}

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	2026-05-17T23:58:19.766207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623d2a7ca1e0ba00d6e083e29bb041c50b01fc312d378f807c867a425ef245aa

Aliases

arxiv: 1611.02424 · arxiv_version: 1611.02424v1 · doi: 10.48550/arxiv.1611.02424 · pith_short_12: MI6SU7FB4C5A · pith_short_16: MI6SU7FB4C5ABVXA · pith_short_8: MI6SU7FB

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/MI6SU7FB4C5ABVXAQPRJXMCBYU \
  | 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: 623d2a7ca1e0ba00d6e083e29bb041c50b01fc312d378f807c867a425ef245aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3c342904f1c2aee795fa32ecdafc94e428be77c2e8a45b93cb5c22bc4d368d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-08T08:26:09Z",
    "title_canon_sha256": "94e0f7a4b7dfbfb7da721276b0bcf662c468ce1ebe2cfca36590d69332197baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02424",
    "kind": "arxiv",
    "version": 1
  }
}