Pith Number

pith:K3SO4523

pith:2018:K3SO4523M5DFWKEWQ23BDVUJY7

not attested not anchored not stored refs pending

Wieferich Primes and a mod $p$ Leopoldt Conjecture

Chandrashekhar Khare, David-A. Guiraud, Gebhard Boeckle, Sudesh Kalyanswamy

arxiv:1805.00131 v2 · 2018-04-30 · 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{K3SO4523M5DFWKEWQ23BDVUJY7}

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	2026-05-18T00:13:44.329830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e4ee775b67465b289686b611d689c7eba8976c23088d4a34a32a805b191008

Aliases

arxiv: 1805.00131 · arxiv_version: 1805.00131v2 · doi: 10.48550/arxiv.1805.00131 · pith_short_12: K3SO4523M5DF · pith_short_16: K3SO4523M5DFWKEW · pith_short_8: K3SO4523

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/K3SO4523M5DFWKEWQ23BDVUJY7 \
  | 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: 56e4ee775b67465b289686b611d689c7eba8976c23088d4a34a32a805b191008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a61b4adcd2a51bb7e8cb8e3d91d46ed42a4f4c5d13009ebaa41a47d4a2e638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-30T23:31:05Z",
    "title_canon_sha256": "82acca03b1a2ef1a51a1f8f1c3442dda103898a7368dff874ab863674c8c8cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00131",
    "kind": "arxiv",
    "version": 2
  }
}