Pith Number

pith:S6DZSICQ

pith:2025:S6DZSICQ4T4YTI2AYO75JAR2RJ

not attested not anchored not stored refs pending

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$

Christian Liedtke, Matthew Satriano

arxiv:2506.21210 v1 · 2025-06-26 · math.AG · 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{S6DZSICQ4T4YTI2AYO75JAR2RJ}

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	2026-07-05T11:27:41.483298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9787992050e4f989a340c3bfd4823a8a5004bf51599e0c46ac07d44a3a51183e

Aliases

arxiv: 2506.21210 · arxiv_version: 2506.21210v1 · doi: 10.48550/arxiv.2506.21210 · pith_short_12: S6DZSICQ4T4Y · pith_short_16: S6DZSICQ4T4YTI2A · pith_short_8: S6DZSICQ

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/S6DZSICQ4T4YTI2AYO75JAR2RJ \
  | 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: 9787992050e4f989a340c3bfd4823a8a5004bf51599e0c46ac07d44a3a51183e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbb669c30221853336cc479e4067e72240ad4f10f7b2fbba7192c902bdf54f3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-26T13:03:13Z",
    "title_canon_sha256": "2ebe6306705b059e9d749dff7e70b52fc5b87e46a3f2efbe16dc1011ba0ea937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21210",
    "kind": "arxiv",
    "version": 1
  }
}