Pith Number

pith:LRS3GUNQ

pith:2015:LRS3GUNQVYOG7X2KSNZALATAEP

not attested not anchored not stored refs pending

Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology

Giancarlo Lucchini Arteche

arxiv:1503.06582 v3 · 2015-03-23 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRS3GUNQVYOG7X2KSNZALATAEP}

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	2026-05-18T00:14:29.348539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c65b351b0ae1c6fdf4a937205826023dd8f49bc23ac5e0686c62aee0a60a419

Aliases

arxiv: 1503.06582 · arxiv_version: 1503.06582v3 · doi: 10.48550/arxiv.1503.06582 · pith_short_12: LRS3GUNQVYOG · pith_short_16: LRS3GUNQVYOG7X2K · pith_short_8: LRS3GUNQ

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/LRS3GUNQVYOG7X2KSNZALATAEP \
  | 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: 5c65b351b0ae1c6fdf4a937205826023dd8f49bc23ac5e0686c62aee0a60a419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968673217c78e9c1aa2b84ca43b765fce4d53b86ef3277b90f7d1a8291ba502b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-23T10:09:53Z",
    "title_canon_sha256": "f06976dd52eb548cab8c149ace870967d85550f7c3040f2aaa9158e9e8794803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06582",
    "kind": "arxiv",
    "version": 3
  }
}