Pith Number

pith:ACJEO27O

pith:2019:ACJEO27OKMPCKABVUOKKKYBDIO

not attested not anchored not stored refs pending

On the geometry of lattices and finiteness of Picard groups

Florian Eisele

arxiv:1908.00129 v3 · 2019-07-31 · math.RT · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACJEO27OKMPCKABVUOKKKYBDIO}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-04T23:52:06.706535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0092476bee531e250035a394a5602343a677f97e411a507f78c7b1b2d1aa4dcd

Aliases

arxiv: 1908.00129 · arxiv_version: 1908.00129v3 · doi: 10.48550/arxiv.1908.00129 · pith_short_12: ACJEO27OKMPC · pith_short_16: ACJEO27OKMPCKABV · pith_short_8: ACJEO27O

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/ACJEO27OKMPCKABVUOKKKYBDIO \
  | 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: 0092476bee531e250035a394a5602343a677f97e411a507f78c7b1b2d1aa4dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e74ce1bb211729b268eee64bfa3ceed84e2970daa83400b948baa26a113cf8d",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-31T22:42:28Z",
    "title_canon_sha256": "f9b6299f9771a205f18a40150566b516d36470b3a90dd61f42d30e8777e736cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00129",
    "kind": "arxiv",
    "version": 3
  }
}