Pith Number

pith:7AAPO6GE

pith:2024:7AAPO6GEUG3IKCQZJ2YZFWETFJ

not attested not anchored not stored refs pending

Residual finiteness and discrete subgroups of Lie groups

Matthew Stover

arxiv:2407.07680 v2 · 2024-07-10 · math.GR · math.GT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AAPO6GEUG3IKCQZJ2YZFWETFJ}

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

Cohomological nonvanishing for algebraic fundamental groups of ball quotients

Receipt and verification

First computed	2026-07-05T10:04:57.400581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f800f778c4a1b6850a194eb192d8932a58f35723d40ff866516f1f1e09acd963

Aliases

arxiv: 2407.07680 · arxiv_version: 2407.07680v2 · doi: 10.48550/arxiv.2407.07680 · pith_short_12: 7AAPO6GEUG3I · pith_short_16: 7AAPO6GEUG3IKCQZ · pith_short_8: 7AAPO6GE

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/7AAPO6GEUG3IKCQZJ2YZFWETFJ \
  | 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: f800f778c4a1b6850a194eb192d8932a58f35723d40ff866516f1f1e09acd963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994f956a8810c62f8002a32dd637520ca252fe3f9aed287a618c213d3df557b7",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-10T14:06:53Z",
    "title_canon_sha256": "f3e2b40a3ba4fa076334b0b7a3f536a859b312ca49fd660483c27313045d922e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.07680",
    "kind": "arxiv",
    "version": 2
  }
}