Pith Number

pith:F6VFLHLF

pith:2025:F6VFLHLFVSUHXISJ2KLPJRQ3LU

not attested not anchored not stored refs pending

Finite subgroups of $\operatorname{PGL}_2(K)$ arising from configurations of skew lines in $\mathbb{P}^3_K$

Giuseppe Favacchio

arxiv:2512.19811 v3 · 2025-12-22 · math.AG · math.AC · 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{F6VFLHLFVSUHXISJ2KLPJRQ3LU}

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	2026-05-29T02:05:38.762120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2faa559d65aca87ba249d296f4c61b5d0db85b3b103057e00a5b0332e40feb4f

Aliases

arxiv: 2512.19811 · arxiv_version: 2512.19811v3 · doi: 10.48550/arxiv.2512.19811 · pith_short_12: F6VFLHLFVSUH · pith_short_16: F6VFLHLFVSUHXISJ · pith_short_8: F6VFLHLF

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/F6VFLHLFVSUHXISJ2KLPJRQ3LU \
  | 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: 2faa559d65aca87ba249d296f4c61b5d0db85b3b103057e00a5b0332e40feb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2deeb9f1bd71d4dac3cb095050b4d9d6ce642bd8aa7559648f0d668c1545e7e",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-22T19:03:20Z",
    "title_canon_sha256": "6974f9c881ea3ee4dbef47ddd62f43626a5fbb901c9de201a5371dcdcfda8b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19811",
    "kind": "arxiv",
    "version": 3
  }
}