Pith Number

pith:KLGFNBVG

pith:2014:KLGFNBVGSJX4GPXX4QELXWEC5H

not attested not anchored not stored refs pending

Rings of invariants for the three dimensional modular representations of elementary abelian $p$-groups of rank four

R.J. Shank, Th\'eo Pierron

arxiv:1410.5227 v2 · 2014-10-20 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLGFNBVGSJX4GPXX4QELXWEC5H}

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	2026-05-18T01:10:10.946163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cc5686a6926fc33ef7e408bbd882e9f20735b1973821ff6104fb75ec43eaf5

Aliases

arxiv: 1410.5227 · arxiv_version: 1410.5227v2 · doi: 10.48550/arxiv.1410.5227 · pith_short_12: KLGFNBVGSJX4 · pith_short_16: KLGFNBVGSJX4GPXX · pith_short_8: KLGFNBVG

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/KLGFNBVGSJX4GPXX4QELXWEC5H \
  | 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: 52cc5686a6926fc33ef7e408bbd882e9f20735b1973821ff6104fb75ec43eaf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ba81adbf60b09995f97efd570a38605bbeb2c980047a07f7325f8e65e4ca90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-10-20T11:13:38Z",
    "title_canon_sha256": "07b783f114ae6d4fad97e96123a0e6d3fe0523bdffc36933dd8c95e5b679fdc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5227",
    "kind": "arxiv",
    "version": 2
  }
}