Pith Number

pith:MLZEJAAA

pith:2019:MLZEJAAACTKWJEFVXOD3MU4LVK

not attested not anchored not stored refs pending

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

Alessandro Languasco, Alisa Sedunova, Pieter Moree, Sumaia Saad Eddin

arxiv:1908.01152 v4 · 2019-08-03 · 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{MLZEJAAACTKWJEFVXOD3MU4LVK}

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	2026-07-05T00:13:16.016322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f244800014d56490b5bb87b6538baabb6983b2b23f6d9fde3364a710c01f87

Aliases

arxiv: 1908.01152 · arxiv_version: 1908.01152v4 · doi: 10.48550/arxiv.1908.01152 · pith_short_12: MLZEJAAACTKW · pith_short_16: MLZEJAAACTKWJEFV · pith_short_8: MLZEJAAA

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/MLZEJAAACTKWJEFVXOD3MU4LVK \
  | 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: 62f244800014d56490b5bb87b6538baabb6983b2b23f6d9fde3364a710c01f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c946027c1592a42710511e24138d0351bfa0e65120249f1618ac43979a837b12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-03T11:44:41Z",
    "title_canon_sha256": "ca98e785a6cad3c2bbb4c899f9a43ee295098cb14f35cc95f12285cc2693dea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01152",
    "kind": "arxiv",
    "version": 4
  }
}