Pith Number

pith:LLUGULSS

pith:2015:LLUGULSSCQLPPBPLVJYBVYG6EK

not attested not anchored not stored refs pending

On the average of the number of imaginary quadratic fields with a given class number

Youness Lamzouri

arxiv:1512.07134 v2 · 2015-12-22 · 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{LLUGULSSCQLPPBPLVJYBVYG6EK}

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	2026-05-18T00:36:43.921208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae86a2e521416f785ebaa701ae0de22b330df39e3ca23a74bdcb4f4986b988c

Aliases

arxiv: 1512.07134 · arxiv_version: 1512.07134v2 · doi: 10.48550/arxiv.1512.07134 · pith_short_12: LLUGULSSCQLP · pith_short_16: LLUGULSSCQLPPBPL · pith_short_8: LLUGULSS

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/LLUGULSSCQLPPBPLVJYBVYG6EK \
  | 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: 5ae86a2e521416f785ebaa701ae0de22b330df39e3ca23a74bdcb4f4986b988c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea99b929979ce79424baa852bb8998260489e616d13cd2c77059161e543a07b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-22T15:54:39Z",
    "title_canon_sha256": "44a8e60e11a68c47ce0ff08af91653f3cc464d2ad56ab1c2a4371a5c5e9fd8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07134",
    "kind": "arxiv",
    "version": 2
  }
}