Pith Number

pith:KBVYT6XC

pith:2017:KBVYT6XCAM47TYK7JMEZMJF2BJ

not attested not anchored not stored refs pending

Cyclic hyperbolic Veech groups in finite area

Anna Lenzhen, Juan Souto

arxiv:1706.06290 v1 · 2017-06-20 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBVYT6XCAM47TYK7JMEZMJF2BJ}

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	2026-05-18T00:42:03.655935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506b89fae20339f9e15f4b099624ba0a473f014b7462a8e675bf595fc7ce8f80

Aliases

arxiv: 1706.06290 · arxiv_version: 1706.06290v1 · doi: 10.48550/arxiv.1706.06290 · pith_short_12: KBVYT6XCAM47 · pith_short_16: KBVYT6XCAM47TYK7 · pith_short_8: KBVYT6XC

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/KBVYT6XCAM47TYK7JMEZMJF2BJ \
  | 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: 506b89fae20339f9e15f4b099624ba0a473f014b7462a8e675bf595fc7ce8f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334aef42af9c88bc9f6b8cfe63913f52e3d544a561075321c11968b159a6a360",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-20T07:21:49Z",
    "title_canon_sha256": "b815ad465dc4f5644f2902a50d7081162114fea0d8d0d81dedf2fab5b9169323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06290",
    "kind": "arxiv",
    "version": 1
  }
}