Pith Number

pith:2W33BG2F

pith:2017:2W33BG2FD3J2JFKNAPOKBBITHK

not attested not anchored not stored refs pending

Divisibility of the class numbers of imaginary quadratic fields

Azizul Hoque, Kalyan Chakraborty, Prem Prakash Pandey, Yasuhiro Kishi

arxiv:1710.03662 v1 · 2017-10-10 · 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{2W33BG2FD3J2JFKNAPOKBBITHK}

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	2026-05-18T00:33:11.052373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b7b09b451ed3a4954d03dca085133a817e9925ceb570ef703fe7836ecfa81d

Aliases

arxiv: 1710.03662 · arxiv_version: 1710.03662v1 · doi: 10.48550/arxiv.1710.03662 · pith_short_12: 2W33BG2FD3J2 · pith_short_16: 2W33BG2FD3J2JFKN · pith_short_8: 2W33BG2F

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/2W33BG2FD3J2JFKNAPOKBBITHK \
  | 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: d5b7b09b451ed3a4954d03dca085133a817e9925ceb570ef703fe7836ecfa81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747c91087132481c2ba0a107f0c1e7ccd153ad8a65c4a0626adaac8d0f8da1cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-10T15:32:59Z",
    "title_canon_sha256": "f53b3f3be44fabe655fbed9320c5f1236f03a84005bf264470d90c1c539e45af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03662",
    "kind": "arxiv",
    "version": 1
  }
}