Pith Number

pith:KXGUXURB

pith:2015:KXGUXURBRX23Q3OQUHZGM6IU3I

not attested not anchored not stored refs pending

Big mapping class groups are not acylindrically hyperbolic

Anthony Genevois, Juliette Bavard

arxiv:1511.05492 v2 · 2015-11-17 · 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{KXGUXURBRX23Q3OQUHZGM6IU3I}

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	2026-05-18T01:22:50.282070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cd4bd2218df5b86dd0a1f2667914da09ce04023c3744ae262115bf4bba1325

Aliases

arxiv: 1511.05492 · arxiv_version: 1511.05492v2 · doi: 10.48550/arxiv.1511.05492 · pith_short_12: KXGUXURBRX23 · pith_short_16: KXGUXURBRX23Q3OQ · pith_short_8: KXGUXURB

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/KXGUXURBRX23Q3OQUHZGM6IU3I \
  | 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: 55cd4bd2218df5b86dd0a1f2667914da09ce04023c3744ae262115bf4bba1325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d31d247a5e3d43e1223ef7300fbe631ba5bd9d03ef55ffa41a8f8ab37b735b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-17T18:04:34Z",
    "title_canon_sha256": "0ef67a8cddcc7d843f4a1c6e9094cc0b2f6e86b31f998dbae642afa7a112a972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05492",
    "kind": "arxiv",
    "version": 2
  }
}