Pith Number

pith:FRBM4M2V

pith:2004:FRBM4M2VTDR7PTYOZDQSHQVRG6

not attested not anchored not stored refs pending

Instability of nondiscrete free subgroups in Lie groups

Alexey Glutsyuk

arxiv:math/0409556 v4 · 2004-09-28 · math.DS · 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{FRBM4M2VTDR7PTYOZDQSHQVRG6}

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	2026-05-18T04:29:54.308165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c42ce335598e3f7cf0ec8e123c2b137a8a3f033e7a69975bcd9e9398c1dbc80

Aliases

arxiv: math/0409556 · arxiv_version: math/0409556v4 · doi: 10.48550/arxiv.math/0409556 · pith_short_12: FRBM4M2VTDR7 · pith_short_16: FRBM4M2VTDR7PTYO · pith_short_8: FRBM4M2V

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/FRBM4M2VTDR7PTYOZDQSHQVRG6 \
  | 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: 2c42ce335598e3f7cf0ec8e123c2b137a8a3f033e7a69975bcd9e9398c1dbc80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0eac6af5ed9ef1dbdf4c4e62b00c05986f050fb74133f9b11cad9a1dde0870",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2004-09-28T16:05:31Z",
    "title_canon_sha256": "d82f0bc5c20e7ded945216e725a3bdffc24a113915a9835dd5b10a8453a8c390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409556",
    "kind": "arxiv",
    "version": 4
  }
}