Pith Number

pith:OJNERJL5

pith:2017:OJNERJL52FU3JYLS6BXEWCIZXG

not attested not anchored not stored refs pending

Divisibility of class numbers of certain families of quadratic fields

Azizul Hoque, Kalyan Chakraborty

arxiv:1712.07338 v1 · 2017-12-20 · 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{OJNERJL52FU3JYLS6BXEWCIZXG}

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	2026-05-18T00:27:34.752327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

725a48a57dd169b4e172f06e4b0919b98f18990e21915ba90920f249cb574552

Aliases

arxiv: 1712.07338 · arxiv_version: 1712.07338v1 · doi: 10.48550/arxiv.1712.07338 · pith_short_12: OJNERJL52FU3 · pith_short_16: OJNERJL52FU3JYLS · pith_short_8: OJNERJL5

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/OJNERJL52FU3JYLS6BXEWCIZXG \
  | 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: 725a48a57dd169b4e172f06e4b0919b98f18990e21915ba90920f249cb574552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc621c39f6c0d59d783163d268fe0def818a531355a7950c08b999449d557dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-20T06:52:10Z",
    "title_canon_sha256": "6bccdf76d2b92e4806850e38bd66751689d5969a9b02fb5899eccfbfac53feec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07338",
    "kind": "arxiv",
    "version": 1
  }
}