Pith Number

pith:KMOI3DWH

pith:2017:KMOI3DWHIV7QKUDKWOTGMVQCB7

not attested not anchored not stored refs pending

Limit sets of Weil-Petersson geodesics with nonminimal ending laminations

Babak Modami, Christopher Leininger, Jeffrey Brock, Kasra Rafi

arxiv:1711.01663 v2 · 2017-11-05 · math.GT · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMOI3DWHIV7QKUDKWOTGMVQCB7}

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	2026-05-18T00:09:09.832022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

531c8d8ec7457f05506ab3a66656020fe64e73b89889e24b1b58eddb3a01668f

Aliases

arxiv: 1711.01663 · arxiv_version: 1711.01663v2 · doi: 10.48550/arxiv.1711.01663 · pith_short_12: KMOI3DWHIV7Q · pith_short_16: KMOI3DWHIV7QKUDK · pith_short_8: KMOI3DWH

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/KMOI3DWHIV7QKUDKWOTGMVQCB7 \
  | 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: 531c8d8ec7457f05506ab3a66656020fe64e73b89889e24b1b58eddb3a01668f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34c424ff3cb50f8a782dfcd5c3a83b2392ba02d1b27746301f3b08f8152554d",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-05T21:23:42Z",
    "title_canon_sha256": "da11dba0d3c948020e9ff432c68d4a771f627de03e5bb8fec85967b5d00ed1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01663",
    "kind": "arxiv",
    "version": 2
  }
}