Pith Number

pith:6AFMUUJZ

pith:2018:6AFMUUJZSAKVO6Q43P6XYOU7BJ

not attested not anchored not stored refs pending

A short note on the divisibility of class numbers of real quadratic fields

Jaitra Chattopadhyay

arxiv:1804.08235 v1 · 2018-04-23 · 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{6AFMUUJZSAKVO6Q43P6XYOU7BJ}

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	2026-05-18T00:17:49.117286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00aca51399015577a1cdbfd7c3a9f0a560d2ce83f7fe00da83676d45ef63212

Aliases

arxiv: 1804.08235 · arxiv_version: 1804.08235v1 · doi: 10.48550/arxiv.1804.08235 · pith_short_12: 6AFMUUJZSAKV · pith_short_16: 6AFMUUJZSAKVO6Q4 · pith_short_8: 6AFMUUJZ

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/6AFMUUJZSAKVO6Q43P6XYOU7BJ \
  | 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: f00aca51399015577a1cdbfd7c3a9f0a560d2ce83f7fe00da83676d45ef63212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ed2dd95b0389d9388e886a7dac143f0c0718bbe7f0962e3b290238581cc560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-23T03:16:27Z",
    "title_canon_sha256": "0fb3e133a437d184137e5f05558658d03fae596cf36607d7f5652d6ac5b00adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08235",
    "kind": "arxiv",
    "version": 1
  }
}