Pith. sign in
Pith Number

pith:NLEKYSDE

pith:2025:NLEKYSDEDLQKYR55AXUHHD22QF
not attested not anchored not stored refs pending

Atypical generic directions in Teichm\"uller space

Chenxi Wu, Kejia Zhu, Matthew Gentry Durham

arxiv:2504.17986 v2 · 2025-04-24 · math.GT · math.DS · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NLEKYSDEDLQKYR55AXUHHD22QF}

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 2026-07-05T11:56:03.366421Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6ac8ac48641ae0ac47bd05e8738f5a815eb25423ba79c3d165e666e80365740c

Aliases

arxiv: 2504.17986 · arxiv_version: 2504.17986v2 · doi: 10.48550/arxiv.2504.17986 · pith_short_12: NLEKYSDEDLQK · pith_short_16: NLEKYSDEDLQKYR55 · pith_short_8: NLEKYSDE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NLEKYSDEDLQKYR55AXUHHD22QF \
  | 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: 6ac8ac48641ae0ac47bd05e8738f5a815eb25423ba79c3d165e666e80365740c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e56f0c117a0a3aeb4e51d9fbb13b919891e0eeef0c0a9f376fedaa4bd6a76c4",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-24T23:56:54Z",
    "title_canon_sha256": "348cceee79cd9361a1f04a9c250246480aa29db2cdf0c39921651a74141c0eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17986",
    "kind": "arxiv",
    "version": 2
  }
}