Pith Number

pith:3ESO2TM7

pith:2024:3ESO2TM7EM7GCVJOOD7EA5TY43

not attested not anchored not stored refs pending

On maximal subgroups of ample groups

Rostislav Grigorchuk, Yaroslav Vorobets

arxiv:2403.16364 v2 · 2024-03-25 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ESO2TM7EM7GCVJOOD7EA5TY43}

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	2026-06-03T01:05:03.290785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d924ed4d9f233e61552e70fe407678e6ffac19f24ed0f1d0409c03f5aeedde0f

Aliases

arxiv: 2403.16364 · arxiv_version: 2403.16364v2 · doi: 10.48550/arxiv.2403.16364 · pith_short_12: 3ESO2TM7EM7G · pith_short_16: 3ESO2TM7EM7GCVJO · pith_short_8: 3ESO2TM7

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/3ESO2TM7EM7GCVJOOD7EA5TY43 \
  | 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: d924ed4d9f233e61552e70fe407678e6ffac19f24ed0f1d0409c03f5aeedde0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb992824804c51752560b6ded540c3ef486bc3be8c9fe9e714a1f709e03c96c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-03-25T01:58:47Z",
    "title_canon_sha256": "226ffa34a425090623daba9c369416afa0578ba21772a2b4519b17e570b90d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16364",
    "kind": "arxiv",
    "version": 2
  }
}