Pith Number

pith:BJXJ3EHP

pith:2019:BJXJ3EHPOS24EGOIVLFYH6ERTY

not attested not anchored not stored refs pending

Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields

Alessandro Languasco

arxiv:1903.05487 v5 · 2019-03-13 · 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{BJXJ3EHPOS24EGOIVLFYH6ERTY}

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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

Computation of the Kummer ratio of the class number for prime cyclotomic fields

Receipt and verification

First computed	2026-07-05T02:02:00.329540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6e9d90ef74b5c219c8aacb83f8919e1e564d66c44600098afd0e8e64349d64

Aliases

arxiv: 1903.05487 · arxiv_version: 1903.05487v5 · doi: 10.48550/arxiv.1903.05487 · pith_short_12: BJXJ3EHPOS24 · pith_short_16: BJXJ3EHPOS24EGOI · pith_short_8: BJXJ3EHP

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/BJXJ3EHPOS24EGOIVLFYH6ERTY \
  | 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: 0a6e9d90ef74b5c219c8aacb83f8919e1e564d66c44600098afd0e8e64349d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d637ef6929be1612773992acf4c291565d37cdbd0e61eb99a11cf4db67fa20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-13T13:50:26Z",
    "title_canon_sha256": "50577a4672b912c31af18f46f42552d8bceb2c709d5294b122781b3fc9a2365e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05487",
    "kind": "arxiv",
    "version": 5
  }
}