Pith Number

pith:7CXIMJRI

pith:2024:7CXIMJRIQS2OP7EPUSK5K5CNLG

not attested not anchored not stored refs pending

The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups

Alessandro Sisto, Henry Wilton

arxiv:2410.00556 v2 · 2024-10-01 · math.GR · 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{7CXIMJRIQS2OP7EPUSK5K5CNLG}

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.

Cited by

1 paper in Pith

New tools in hierarchical hyperbolicity: A survey

Receipt and verification

First computed	2026-07-05T09:39:58.883405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ae86262884b4e7fc8fa495d5744d5998958c76804aef734764890c3755e57d

Aliases

arxiv: 2410.00556 · arxiv_version: 2410.00556v2 · doi: 10.48550/arxiv.2410.00556 · pith_short_12: 7CXIMJRIQS2O · pith_short_16: 7CXIMJRIQS2OP7EP · pith_short_8: 7CXIMJRI

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/7CXIMJRIQS2OP7EPUSK5K5CNLG \
  | 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: f8ae86262884b4e7fc8fa495d5744d5998958c76804aef734764890c3755e57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98121f5daabf57000e26259701de84357297391da339a069313f4d92a292c983",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-10-01T10:06:41Z",
    "title_canon_sha256": "9998b1fb953657246328a2a3580b8ff4aee3472a77d2e04a0624af22613a1d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.00556",
    "kind": "arxiv",
    "version": 2
  }
}