Pith Number

pith:4K2V4ZIE

pith:2014:4K2V4ZIEHJZXOSPO3T6Y4U6ALK

not attested not anchored not stored refs pending

Irredundant and minimal covers of finite groups

Andrea Lucchini, Martino Garonzi

arxiv:1412.6275 v1 · 2014-12-19 · 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{4K2V4ZIEHJZXOSPO3T6Y4U6ALK}

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.

Cited by

1 paper in Pith

Graph Interpolating Activation Improves Both Natural and Robust Accuracies in Data-Efficient Deep Learning

Receipt and verification

First computed	2026-05-18T02:30:53.918425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b55e65043a737749eedcfd8e53c05a91518a8fc9c6d738ad5081f56cbc4afe

Aliases

arxiv: 1412.6275 · arxiv_version: 1412.6275v1 · doi: 10.48550/arxiv.1412.6275 · pith_short_12: 4K2V4ZIEHJZX · pith_short_16: 4K2V4ZIEHJZXOSPO · pith_short_8: 4K2V4ZIE

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/4K2V4ZIEHJZXOSPO3T6Y4U6ALK \
  | 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: e2b55e65043a737749eedcfd8e53c05a91518a8fc9c6d738ad5081f56cbc4afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712cfd09cfebc3bdfe6cf1bafbf72e4ef516986de8646ccedf5e5c2d54e8294c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-19T10:27:32Z",
    "title_canon_sha256": "9b22bdcec30eb7ed83162074ffa7763eebb17258512c331b39fba092aba3a056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6275",
    "kind": "arxiv",
    "version": 1
  }
}