Pith Number

pith:7R53MAF2

pith:2010:7R53MAF2KLW4ELYUE2NBVOBECK

not attested not anchored not stored refs pending

On the number of lines in the limit set for discrete subgroups of $PSL(3,\Bbb{C})$

A. Cano, Juan Pablo Navarrete, Waldemar Barrera

arxiv:1003.0708 v2 · 2010-03-02 · 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{7R53MAF2KLW4ELYUE2NBVOBECK}

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	2026-05-18T01:16:54.914579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7bb600ba52edc22f14269a1ab824129d594a3286b2c39edf1e54162fb4e54e

Aliases

arxiv: 1003.0708 · arxiv_version: 1003.0708v2 · doi: 10.48550/arxiv.1003.0708 · pith_short_12: 7R53MAF2KLW4 · pith_short_16: 7R53MAF2KLW4ELYU · pith_short_8: 7R53MAF2

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/7R53MAF2KLW4ELYUE2NBVOBECK \
  | 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: fc7bb600ba52edc22f14269a1ab824129d594a3286b2c39edf1e54162fb4e54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428c694af88d5dfcb574b8692b79826bd66af80d59524acf7b42e5bc7fd7c226",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-03-02T23:50:58Z",
    "title_canon_sha256": "1166a61a799fabd7d7b58636c6cd408a4b3655aa3c0c97a5db88970a4626cec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0708",
    "kind": "arxiv",
    "version": 2
  }
}