Pith Number

pith:JXYCQU3G

pith:2024:JXYCQU3GESDHBQH54V2QL32FB7

not attested not anchored not stored refs pending

A family of level-transitive groups with positive fixed-point proportion and positive Hausdorff dimension

Santiago Radi

arxiv:2501.00515 v2 · 2024-12-31 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXYCQU3GESDHBQH54V2QL32FB7}

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

Groups of finite type: classification and structural properties

Receipt and verification

First computed	2026-07-05T10:01:38.673822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df0285366248670c0fde57505ef450ffffac48adfd7d2cdf65f3fc2ad97fdf6

Aliases

arxiv: 2501.00515 · arxiv_version: 2501.00515v2 · doi: 10.48550/arxiv.2501.00515 · pith_short_12: JXYCQU3GESDH · pith_short_16: JXYCQU3GESDHBQH5 · pith_short_8: JXYCQU3G

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/JXYCQU3GESDHBQH54V2QL32FB7 \
  | 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: 4df0285366248670c0fde57505ef450ffffac48adfd7d2cdf65f3fc2ad97fdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab79a6c5ddddc03ab00d17158053e87316613ab0434f06e11f4cd45e0e104492",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-12-31T15:57:11Z",
    "title_canon_sha256": "7d486d88a97f32461afe681d55a1d2e4542387e440f70e67890ed695c12b9142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00515",
    "kind": "arxiv",
    "version": 2
  }
}