Pith Number

pith:VVAPLKFV

pith:2025:VVAPLKFVHDSKICTWSJTJ2PBRXZ

not attested not anchored not stored refs pending

Constructing reducibly geometrically finite subgroups of the mapping class group

Brandis Whitfield, Hannah Hoganson, Harrison Bray, Sara Maloni, Spencer Dowdall, Tarik Aougab

arxiv:2501.13234 v2 · 2025-01-22 · math.GT · 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{VVAPLKFVHDSKICTWSJTJ2PBRXZ}

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	2026-07-05T12:11:15.203604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad40f5a8b538e4a40a7692669d3c31be7ed5b52483b43c2f7c1132e9beebfb7d

Aliases

arxiv: 2501.13234 · arxiv_version: 2501.13234v2 · doi: 10.48550/arxiv.2501.13234 · pith_short_12: VVAPLKFVHDSK · pith_short_16: VVAPLKFVHDSKICTW · pith_short_8: VVAPLKFV

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/VVAPLKFVHDSKICTWSJTJ2PBRXZ \
  | 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: ad40f5a8b538e4a40a7692669d3c31be7ed5b52483b43c2f7c1132e9beebfb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68377e12dfd644e1f6f89f01299d6c94894c1692a0860824b97e8b1d1033998",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-01-22T21:35:15Z",
    "title_canon_sha256": "e4d80e8eda28417b519acc1ace467daae34e5989b944497592824bafb20ff8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13234",
    "kind": "arxiv",
    "version": 2
  }
}