Pith Number

pith:VLMDKGAV

pith:2014:VLMDKGAV7WL5HEYYREX572J4QH

not attested not anchored not stored refs pending

Coprime invariable generation and minimal-exponent groups

Andrea Lucchini, Colva M. Roney-Dougal, Eloisa Detomi

arxiv:1410.7569 v1 · 2014-10-28 · 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{VLMDKGAV7WL5HEYYREX572J4QH}

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	2026-05-18T02:39:10.002787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad8351815fd97d39318892fdfe93c81d1bdf57e33acacc4d7cf12c50ae6459a

Aliases

arxiv: 1410.7569 · arxiv_version: 1410.7569v1 · doi: 10.48550/arxiv.1410.7569 · pith_short_12: VLMDKGAV7WL5 · pith_short_16: VLMDKGAV7WL5HEYY · pith_short_8: VLMDKGAV

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/VLMDKGAV7WL5HEYYREX572J4QH \
  | 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: aad8351815fd97d39318892fdfe93c81d1bdf57e33acacc4d7cf12c50ae6459a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c98c814cb17d984f75b815a586b0f2a911e598fbdcef15b8e41f66820e2b57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-28T10:09:26Z",
    "title_canon_sha256": "869f47997b2bf21aca0f45d234731477eda2abc679ef880d17bc94aa591ec1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7569",
    "kind": "arxiv",
    "version": 1
  }
}