Pith Number

pith:WXQ4S2W5

pith:2010:WXQ4S2W5AHFU6QRGT577XTPZQZ

not attested not anchored not stored refs pending

Subroups of $PSL(3,\Bbb{C})$ with four lines in general position in its Limit Set

Angel Cano, Juan Pablo Navarrete, Waldemar Barrera

arxiv:1001.5222 v2 · 2010-01-28 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXQ4S2W5AHFU6QRGT577XTPZQZ}

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	2026-05-18T01:16:54.933541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e1c96add01cb4f42269f7ffbcdf9867b4d265678a4d17c3bfe9dd0b1b2d5d6

Aliases

arxiv: 1001.5222 · arxiv_version: 1001.5222v2 · doi: 10.48550/arxiv.1001.5222 · pith_short_12: WXQ4S2W5AHFU · pith_short_16: WXQ4S2W5AHFU6QRG · pith_short_8: WXQ4S2W5

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/WXQ4S2W5AHFU6QRGT577XTPZQZ \
  | 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: b5e1c96add01cb4f42269f7ffbcdf9867b4d265678a4d17c3bfe9dd0b1b2d5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d2522e611954fdb72693982853ad6f4fb190ed0d19cc92eb77659448a8f0ae",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-28T17:21:20Z",
    "title_canon_sha256": "ec263334a29182c7d5ca40b65eb72a00f57dcab0f31942fb4432c77350d7e47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5222",
    "kind": "arxiv",
    "version": 2
  }
}