Pith Number

pith:OBH5GRJY

pith:2018:OBH5GRJYWIPQ6EXRSK6MQ2VCJB

not attested not anchored not stored refs pending

A Note on the equivalence of the parity of class numbers and the signature ranks of units in cyclotomic fields

David S. Dummit

arxiv:1812.04973 v1 · 2018-12-12 · 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{OBH5GRJYWIPQ6EXRSK6MQ2VCJB}

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	2026-05-17T23:58:26.751911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704fd34538b21f0f12f192bcc86aa2485d53a45586322a020ed4fd7f1b2422ef

Aliases

arxiv: 1812.04973 · arxiv_version: 1812.04973v1 · doi: 10.48550/arxiv.1812.04973 · pith_short_12: OBH5GRJYWIPQ · pith_short_16: OBH5GRJYWIPQ6EXR · pith_short_8: OBH5GRJY

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/OBH5GRJYWIPQ6EXRSK6MQ2VCJB \
  | 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: 704fd34538b21f0f12f192bcc86aa2485d53a45586322a020ed4fd7f1b2422ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9617da73cab0b5f8624823bdcba661297035e68f6b4b7b735b021597e479d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-12T14:36:49Z",
    "title_canon_sha256": "20a406a2a0ca0eaa57724b6fec6c47ba177c1042af5d02694852c0ac8dcb2e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04973",
    "kind": "arxiv",
    "version": 1
  }
}