Pith Number

pith:HQQV3SMX

pith:2018:HQQV3SMXQFOOYZU33AUSNOHLBH

not attested not anchored not stored refs pending

On the Iwasawa asymptotic class number formula for $\mathbb{Z}_p^r\rtimes\mathbb{Z}_p$-extensions

Dingli Liang, Meng Fai Lim

arxiv:1803.06095 v3 · 2018-03-16 · 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{HQQV3SMXQFOOYZU33AUSNOHLBH}

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	2026-05-17T23:44:32.683209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c215dc997815cec669bd82926b8eb09f4623fd28851cf89c96f3b72b7bab089

Aliases

arxiv: 1803.06095 · arxiv_version: 1803.06095v3 · doi: 10.48550/arxiv.1803.06095 · pith_short_12: HQQV3SMXQFOO · pith_short_16: HQQV3SMXQFOOYZU3 · pith_short_8: HQQV3SMX

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/HQQV3SMXQFOOYZU33AUSNOHLBH \
  | 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: 3c215dc997815cec669bd82926b8eb09f4623fd28851cf89c96f3b72b7bab089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485f10c9fed7bc4497bef77cfef03bec4d9ecdf3e643518a0ee450f7c1f75141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-16T07:12:54Z",
    "title_canon_sha256": "f441769a72efb544d67a88ff225f589f9ed0c62219f113d2a24d756084b68bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06095",
    "kind": "arxiv",
    "version": 3
  }
}