Pith Number

pith:GWVZ4JN5

pith:2013:GWVZ4JN5J45R26LFCVMKHJ5R3B

not attested not anchored not stored refs pending

On polarised class groups of orders in quartic CM-fields

Gaetan Bisson, Marco Streng

arxiv:1302.3756 v6 · 2013-02-15 · 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{GWVZ4JN5J45R26LFCVMKHJ5R3B}

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	2026-05-17T23:55:01.499781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ab9e25bd4f3b1d79651558a3a7b1d8613b7dcb0847b625a1202424aeeb61c2

Aliases

arxiv: 1302.3756 · arxiv_version: 1302.3756v6 · doi: 10.48550/arxiv.1302.3756 · pith_short_12: GWVZ4JN5J45R · pith_short_16: GWVZ4JN5J45R26LF · pith_short_8: GWVZ4JN5

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/GWVZ4JN5J45R26LFCVMKHJ5R3B \
  | 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: 35ab9e25bd4f3b1d79651558a3a7b1d8613b7dcb0847b625a1202424aeeb61c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2148b54d959e201769d5a75583cb63a292b589be996d9139ab5440dda4b6a9a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-15T14:00:32Z",
    "title_canon_sha256": "a4517a17453269fae7fb7b4e9023ddc91ced713401cb8519dfc210504003bd84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3756",
    "kind": "arxiv",
    "version": 6
  }
}