Pith Number

pith:SR3ZIB2L

pith:2011:SR3ZIB2LKSAPG3P4TPAPAXTRII

not attested not anchored not stored refs pending

Malnormal subgroups and Frobenius groups: basics and examples

Appendix by Denis Osin, Claude Weber, Pierre de la Harpe

arxiv:1104.3065 v1 · 2011-04-15 · 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{SR3ZIB2LKSAPG3P4TPAPAXTRII}

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	2026-05-18T04:24:06.636821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947794074b5480f36dfc9bc0f05e71420f2e82330bddab578ed56873dce5f1a5

Aliases

arxiv: 1104.3065 · arxiv_version: 1104.3065v1 · doi: 10.48550/arxiv.1104.3065 · pith_short_12: SR3ZIB2LKSAP · pith_short_16: SR3ZIB2LKSAPG3P4 · pith_short_8: SR3ZIB2L

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/SR3ZIB2LKSAPG3P4TPAPAXTRII \
  | 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: 947794074b5480f36dfc9bc0f05e71420f2e82330bddab578ed56873dce5f1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93c38c25f122f963224e1363fe0972afea158e5129b11b85808b03708428b39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-15T14:12:04Z",
    "title_canon_sha256": "9414f520a874aad7845b37ac2d384d730a2278804d74d6d7c9c45a087dba08ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3065",
    "kind": "arxiv",
    "version": 1
  }
}