Pith Number

pith:DDHCRAZC

pith:2020:DDHCRAZCV6I5FSDFHJDEFJYBBI

not attested not anchored not stored refs pending

Pointwise Bound for $\ell$-torsion in Class Groups II: Nilpotent Extensions

Jiuya Wang

arxiv:2006.10295 v1 · 2020-06-18 · math.NT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDHCRAZCV6I5FSDFHJDEFJYBBI}

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.

Cited by

1 paper in Pith

Inductive methods for counting number fields

Receipt and verification

First computed	2026-07-05T01:11:16.978049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ce288322af91d2c8653a4642a7010a2f877783feda11e6ca535285077ed478

Aliases

arxiv: 2006.10295 · arxiv_version: 2006.10295v1 · doi: 10.48550/arxiv.2006.10295 · pith_short_12: DDHCRAZCV6I5 · pith_short_16: DDHCRAZCV6I5FSDF · pith_short_8: DDHCRAZC

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/DDHCRAZCV6I5FSDFHJDEFJYBBI \
  | 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: 18ce288322af91d2c8653a4642a7010a2f877783feda11e6ca535285077ed478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42f8f3ac40f549e6bcd4dc524ac2e2820e6d92ebe914563d41f4f919dc6ecd4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-18T06:20:03Z",
    "title_canon_sha256": "48fba7f8b7391c4bc2b24338e92e5465976f32131cb210c6861f481688f8ed39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10295",
    "kind": "arxiv",
    "version": 1
  }
}