Pith Number

pith:K2BDREJH

pith:2013:K2BDREJH4UHXIUGBBCIZBOJCB7

not attested not anchored not stored refs pending

The first factor of the class number of the $p$-th cyclotomic field

Korneel Debaene

arxiv:1304.6243 v3 · 2013-04-23 · 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{K2BDREJH4UHXIUGBBCIZBOJCB7}

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	2026-05-18T03:01:46.597386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5682389127e50f7450c1089190b9220fdc3af342e2f58380c29f6a5984d66297

Aliases

arxiv: 1304.6243 · arxiv_version: 1304.6243v3 · doi: 10.48550/arxiv.1304.6243 · pith_short_12: K2BDREJH4UHX · pith_short_16: K2BDREJH4UHXIUGB · pith_short_8: K2BDREJH

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/K2BDREJH4UHXIUGBBCIZBOJCB7 \
  | 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: 5682389127e50f7450c1089190b9220fdc3af342e2f58380c29f6a5984d66297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d8d78902e5e6357b70c1e1c10e32a3417805a14b00df1e6332bc398e4ae36e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-23T11:30:29Z",
    "title_canon_sha256": "974c662e45b8ac9e4f5262d6b7f49b529f4f5eec066920b7a560886c8f2550f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6243",
    "kind": "arxiv",
    "version": 3
  }
}