Pith Number

pith:Y6XAI5U4

pith:2022:Y6XAI5U4URKCBMKY5PPTYEKA7Q

not attested not anchored not stored refs pending

Ray class groups and ray class fields for orders of number fields

Gene S. Kopp, Jeffrey C. Lagarias

arxiv:2212.09177 v3 · 2022-12-18 · 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{Y6XAI5U4URKCBMKY5PPTYEKA7Q}

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

SIC-POVMs and orders of real quadratic fields

Receipt and verification

First computed	2026-07-05T10:12:45.875917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ae04769ca45420b158ebdf3c1140fc05fd9fcf6882ff2195eb975390bdb249

Aliases

arxiv: 2212.09177 · arxiv_version: 2212.09177v3 · doi: 10.48550/arxiv.2212.09177 · pith_short_12: Y6XAI5U4URKC · pith_short_16: Y6XAI5U4URKCBMKY · pith_short_8: Y6XAI5U4

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/Y6XAI5U4URKCBMKY5PPTYEKA7Q \
  | 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: c7ae04769ca45420b158ebdf3c1140fc05fd9fcf6882ff2195eb975390bdb249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb497033c54b280c9cec406289d47e09374db14650dcf56c770f39cd72374cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-18T21:49:25Z",
    "title_canon_sha256": "25ad14d35df44abf942d831916e93775782d406f82457d78d6531e034f6c45b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09177",
    "kind": "arxiv",
    "version": 3
  }
}