Pith Number

pith:7AFKMSGW

pith:2023:7AFKMSGWMUZAHSCCSCVJCMKSH3

not attested not anchored not stored refs pending

Klein-Maskit combination theorem for Anosov subgroups: Amalgams

Michael Kapovich, Subhadip Dey

arxiv:2301.02354 v3 · 2023-01-06 · 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{7AFKMSGWMUZAHSCCSCVJCMKSH3}

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

Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems

Receipt and verification

First computed	2026-07-05T08:52:23.763828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80aa648d6653203c84290aa9131523ee1738e8ef0fe645ff9fdc80c53272560

Aliases

arxiv: 2301.02354 · arxiv_version: 2301.02354v3 · doi: 10.48550/arxiv.2301.02354 · pith_short_12: 7AFKMSGWMUZA · pith_short_16: 7AFKMSGWMUZAHSCC · pith_short_8: 7AFKMSGW

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/7AFKMSGWMUZAHSCCSCVJCMKSH3 \
  | 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: f80aa648d6653203c84290aa9131523ee1738e8ef0fe645ff9fdc80c53272560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ea37e8caeee398642262e883e20e0338385b4355086f9ed24a88c8bd9e0b11",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-01-06T01:35:24Z",
    "title_canon_sha256": "24dcccd6cb8e708645cf13b668be59306f368ec881b98c4f830d2946bae0d7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02354",
    "kind": "arxiv",
    "version": 3
  }
}