Pith Number

pith:HKB3HPUY

pith:2012:HKB3HPUYE22YSIZIREW7N3WXB3

not attested not anchored not stored refs pending

Module Invariants and Blocks of Finite Group Schemes

Paul Sobaje

arxiv:1201.2741 v2 · 2012-01-13 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKB3HPUYE22YSIZIREW7N3WXB3}

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	2026-05-18T02:57:53.888159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a83b3be9826b5892328892df6eed70ee042ae71b774d56d7ae64279de68eaf7

Aliases

arxiv: 1201.2741 · arxiv_version: 1201.2741v2 · doi: 10.48550/arxiv.1201.2741 · pith_short_12: HKB3HPUYE22Y · pith_short_16: HKB3HPUYE22YSIZI · pith_short_8: HKB3HPUY

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/HKB3HPUYE22YSIZIREW7N3WXB3 \
  | 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: 3a83b3be9826b5892328892df6eed70ee042ae71b774d56d7ae64279de68eaf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609e83913695d01d250c600898c2402efc75b7f34645274a639b44b39e3f9cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-13T04:54:53Z",
    "title_canon_sha256": "1e7331336d7ae98519edafa90f941d6c2f3b3571c1fbaab9f522d01a4d912b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2741",
    "kind": "arxiv",
    "version": 2
  }
}