Pith Number

pith:OOBE6LOR

pith:2019:OOBE6LORPWM23WSNOVRDB5TUDO

not attested not anchored not stored refs pending

On Picard groups of blocks with normal defect groups

Michael Livesey

arxiv:1907.12167 v3 · 2019-07-29 · 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{OOBE6LORPWM23WSNOVRDB5TUDO}

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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

Morita equivalence classes of blocks with elementary abelian defect groups of order 32

Receipt and verification

First computed	2026-07-05T00:37:46.510934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73824f2dd17d99adda4d756230f6741b81ad6e88a292b9fd03ddccd3eebc3a5b

Aliases

arxiv: 1907.12167 · arxiv_version: 1907.12167v3 · doi: 10.48550/arxiv.1907.12167 · pith_short_12: OOBE6LORPWM2 · pith_short_16: OOBE6LORPWM23WSN · pith_short_8: OOBE6LOR

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/OOBE6LORPWM23WSNOVRDB5TUDO \
  | 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: 73824f2dd17d99adda4d756230f6741b81ad6e88a292b9fd03ddccd3eebc3a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f329c8b92a9841984239337b038d6af2c2e28db63b65d0adf5fd4c1613b4ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-29T01:01:14Z",
    "title_canon_sha256": "711709cd96f43bb84e312b1b91c4d6e4c6014e9a3539ccaecd6300289c868b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12167",
    "kind": "arxiv",
    "version": 3
  }
}