Pith Number

pith:TY2IAKYM

pith:2015:TY2IAKYMPLQJ6MHQIK25DHV6PE

not attested not anchored not stored refs pending

Bielliptic ball quotient compactifications and lattices in PU(2, 1) with finitely generated commutator subgroup

Luca F. Di Cerbo, Matthew Stover

arxiv:1512.03049 v3 · 2015-12-09 · math.GT · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY2IAKYMPLQJ6MHQIK25DHV6PE}

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	2026-05-18T01:12:25.092556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e34802b0c7ae09f30f042b5d19ebe791ebd2274d9b0015f3a6bfc693a547db7

Aliases

arxiv: 1512.03049 · arxiv_version: 1512.03049v3 · doi: 10.48550/arxiv.1512.03049 · pith_short_12: TY2IAKYMPLQJ · pith_short_16: TY2IAKYMPLQJ6MHQ · pith_short_8: TY2IAKYM

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/TY2IAKYMPLQJ6MHQIK25DHV6PE \
  | 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: 9e34802b0c7ae09f30f042b5d19ebe791ebd2274d9b0015f3a6bfc693a547db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5545d955f6f4239be4fd9e0e2a6d99b4902bb1df81e89cb436aeb7842f4413d",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-09T20:58:24Z",
    "title_canon_sha256": "a585bcc2d28346fedac864ce97ec0120f807df95b33a3eb95443a1f40fd46b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03049",
    "kind": "arxiv",
    "version": 3
  }
}