Pith Number

pith:BCFMBZNA

pith:2015:BCFMBZNALHHBU3MCXGA2OULAJR

not attested not anchored not stored refs pending

A classification of $\mathbb C$-Fuchsian subgroups of Picard modular groups

Fr\'ed\'eric Paulin, Jouni Parkkonen

arxiv:1503.05801 v2 · 2015-03-19 · math.NT · 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{BCFMBZNALHHBU3MCXGA2OULAJR}

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	2026-05-18T02:19:18.487116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088ac0e5a059ce1a6d82b981a751604c48f9cf2ace575c2d0fdfdb47ca3d3db7

Aliases

arxiv: 1503.05801 · arxiv_version: 1503.05801v2 · doi: 10.48550/arxiv.1503.05801 · pith_short_12: BCFMBZNALHHB · pith_short_16: BCFMBZNALHHBU3MC · pith_short_8: BCFMBZNA

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/BCFMBZNALHHBU3MCXGA2OULAJR \
  | 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: 088ac0e5a059ce1a6d82b981a751604c48f9cf2ace575c2d0fdfdb47ca3d3db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f188e39b1b75024651cd2608f44aad2c3cdfa39ce881b37a9d925659ec3386f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-19T15:32:47Z",
    "title_canon_sha256": "295c6470732a6a364887abaf309e63510491335b146b95928637257e87359d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05801",
    "kind": "arxiv",
    "version": 2
  }
}