Pith Number

pith:JGFMCIM3

pith:2017:JGFMCIM36LBGYX3X5UUDXIJ5BR

not attested not anchored not stored refs pending

The number of imaginary quadratic fields with prime discriminant and class number up to $H$

Youness Lamzouri

arxiv:1701.05267 v2 · 2017-01-19 · 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{JGFMCIM36LBGYX3X5UUDXIJ5BR}

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	2026-05-18T00:36:43.589136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

498ac1219bf2c26c5f77ed283ba13d0c59b28b82797df690d93cf41840f43875

Aliases

arxiv: 1701.05267 · arxiv_version: 1701.05267v2 · doi: 10.48550/arxiv.1701.05267 · pith_short_12: JGFMCIM36LBG · pith_short_16: JGFMCIM36LBGYX3X · pith_short_8: JGFMCIM3

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/JGFMCIM36LBGYX3X5UUDXIJ5BR \
  | 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: 498ac1219bf2c26c5f77ed283ba13d0c59b28b82797df690d93cf41840f43875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b149503e19fd2c9fcf7ecabfc80843958583b118f178b059981199cc8666579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-19T01:12:53Z",
    "title_canon_sha256": "51754171ab07e3c732feea18caf9881e0ce8a71a2f8ea649185168a730c794ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05267",
    "kind": "arxiv",
    "version": 2
  }
}