Pith Number

pith:5ZMR7HSW

pith:2013:5ZMR7HSWMB57GMUPD577QMUCGS

not attested not anchored not stored refs pending

Covers and Normal Covers of Finite Groups

Andrea Lucchini, Martino Garonzi

arxiv:1310.1775 v1 · 2013-10-07 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZMR7HSWMB57GMUPD577QMUCGS}

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	2026-05-18T03:11:10.619004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee591f9e56607bf3328f1f7ff832823485cde9db3c094e49b9f4d363eb8bb2de

Aliases

arxiv: 1310.1775 · arxiv_version: 1310.1775v1 · doi: 10.48550/arxiv.1310.1775 · pith_short_12: 5ZMR7HSWMB57 · pith_short_16: 5ZMR7HSWMB57GMUP · pith_short_8: 5ZMR7HSW

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/5ZMR7HSWMB57GMUPD577QMUCGS \
  | 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: ee591f9e56607bf3328f1f7ff832823485cde9db3c094e49b9f4d363eb8bb2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b420f12dea06fdcbc70715453bfc7952c5d5df9d8758eda94bf366d69ba434a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-07T13:23:15Z",
    "title_canon_sha256": "eb2a9b4e6708aba24333b1c29d99a48aea5fe27216e7f07d42d46cd2a462b8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1775",
    "kind": "arxiv",
    "version": 1
  }
}