Pith Number

pith:4C4L7U5H

pith:2016:4C4L7U5HLFPAFKSJSVKN5SC3QF

not attested not anchored not stored refs pending

Chevalley-Weil Theorem and Subgroups of Class Groups

Jean Gillibert, Yuri Bilu

arxiv:1606.03128 v2 · 2016-06-09 · 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{4C4L7U5HLFPAFKSJSVKN5SC3QF}

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	2026-05-18T00:34:31.686958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b8bfd3a7595e02aa499554dec85b8143106e20a86e9c991bceb8e7c0c35a6e

Aliases

arxiv: 1606.03128 · arxiv_version: 1606.03128v2 · doi: 10.48550/arxiv.1606.03128 · pith_short_12: 4C4L7U5HLFPA · pith_short_16: 4C4L7U5HLFPAFKSJ · pith_short_8: 4C4L7U5H

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/4C4L7U5HLFPAFKSJSVKN5SC3QF \
  | 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: e0b8bfd3a7595e02aa499554dec85b8143106e20a86e9c991bceb8e7c0c35a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da05c05d2dab818212fb1e84ead2284d606f2a299c859282104e54cedd709cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-09T21:43:21Z",
    "title_canon_sha256": "d3de44d0ee5e27598cc98a42c309a916c3b6ccb23cdecb95a000ff9de0a908b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03128",
    "kind": "arxiv",
    "version": 2
  }
}