Pith Number

pith:4AZWP6XA

pith:2018:4AZWP6XAOIDXK5QPK6IFQRYN3W

not attested not anchored not stored refs pending

The modality of a Borel subgroup in a simple algebraic group of type $E_8$

Gerhard Roehrle, Peter Mosch, Simon Goodwin

arxiv:1802.03175 v1 · 2018-02-09 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AZWP6XAOIDXK5QPK6IFQRYN3W}

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	2026-05-18T00:23:58.385166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03367fae0720775760f579058470dddb7c5a12e09b93c1f26848fb3da0eba77

Aliases

arxiv: 1802.03175 · arxiv_version: 1802.03175v1 · doi: 10.48550/arxiv.1802.03175 · pith_short_12: 4AZWP6XAOIDX · pith_short_16: 4AZWP6XAOIDXK5QP · pith_short_8: 4AZWP6XA

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/4AZWP6XAOIDXK5QPK6IFQRYN3W \
  | 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: e03367fae0720775760f579058470dddb7c5a12e09b93c1f26848fb3da0eba77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790ac8598160e884c2dfdd7c2c5418d733448d2e63bd55344a69173d9db76e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-09T09:04:52Z",
    "title_canon_sha256": "028cd56010006975f8e15595b64b7e1bc776127fee55f9eecaa709ce493e470a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03175",
    "kind": "arxiv",
    "version": 1
  }
}