Pith Number

pith:4OZZ5BWM

pith:2011:4OZZ5BWMRAT7XNZTUJLODI7GFV

not attested not anchored not stored refs pending

Normalizers of solvable spherical subgroups

Roman Avdeev

arxiv:1107.5175 v2 · 2011-07-26 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OZZ5BWMRAT7XNZTUJLODI7GFV}

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	2026-05-18T03:12:58.167474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b39e86cc8827fbb733a256e1a3e62d60e948fb4215f6b8c356173888568c56

Aliases

arxiv: 1107.5175 · arxiv_version: 1107.5175v2 · doi: 10.48550/arxiv.1107.5175 · pith_short_12: 4OZZ5BWMRAT7 · pith_short_16: 4OZZ5BWMRAT7XNZT · pith_short_8: 4OZZ5BWM

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/4OZZ5BWMRAT7XNZTUJLODI7GFV \
  | 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: e3b39e86cc8827fbb733a256e1a3e62d60e948fb4215f6b8c356173888568c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40b220223b0b287380f58b27f2ce2094222dddc0f58d62b0563db6908319f80",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-26T11:27:33Z",
    "title_canon_sha256": "8c44eff475b8426484fa41634f7723de5b0c68be75e25ba16ab61f0d93a1aea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5175",
    "kind": "arxiv",
    "version": 2
  }
}