Pith Number

pith:3GB5W7D7

pith:2018:3GB5W7D7PGH3JDY4D3PFBZ7NF5

not attested not anchored not stored refs pending

A combination theorem for Anosov subgroups

Bernhard Leeb, Michael Kapovich, Subhadip Dey

arxiv:1805.07374 v2 · 2018-05-18 · 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{3GB5W7D7PGH3JDY4D3PFBZ7NF5}

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	2026-05-17T23:53:44.091058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d983db7c7f798fb48f1c1ede50e7ed2f660194ce4bc3c23a282248806a350379

Aliases

arxiv: 1805.07374 · arxiv_version: 1805.07374v2 · doi: 10.48550/arxiv.1805.07374 · pith_short_12: 3GB5W7D7PGH3 · pith_short_16: 3GB5W7D7PGH3JDY4 · pith_short_8: 3GB5W7D7

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/3GB5W7D7PGH3JDY4D3PFBZ7NF5 \
  | 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: d983db7c7f798fb48f1c1ede50e7ed2f660194ce4bc3c23a282248806a350379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6764ede66a9ff7238585c187c5f1e977db6829692aa91c27c21c22fe564c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-18T18:09:55Z",
    "title_canon_sha256": "a4be676553b8cb18ffb20295787716a36f532cda83206b12da3eac5c2fee7a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07374",
    "kind": "arxiv",
    "version": 2
  }
}