Group theory and homogeneous dynamics

Generic thinness in finitely generated subgroups of SL_n(Z)

Elena Fuchs and Igor Rivin

28 pages23 claims indexed25 referencesManuscript 2015-06-04

Coverage and costs

Preliminary audit—repair verification ongoing. All native paid attempts are terminal.

Item Recorded value
Native attempts 41
Usable outputs 38
Provider-failed or incomplete 3
Invalid assessments 0
Usage-based cost ceiling $4.0776285
Authorized campaign budget $10
Generation retries 0

Sol supplied one full-paper assessment and thirty-two local/prose assessments. Gemini supplied three local assessments and two accepted arbitrations. The two initial Opus requests and its arbitration exhausted their caps. No completed full-paper native Opus or Gemini assessment is claimed.

These totals include failed/invalid attempts at the frozen conservative native-batch token rates. They are usage estimates, not invoice reconciliation. External subscription-model analyses have unknown separate cost. No new inference was used to prepare this publication.

Per-attempt final outputs · Sanitized attempt ledger · Machine-readable coverage and costs.

The supplied edition is arXiv 1506.01735v1; the complete revised journal Section 2 was unavailable. The historical external-input cutoff remains 2015-07-28, not the date of this audit. Chronology-field checks do not certify all external theorem statements.

Source record

Additional supporting archive items are identified in the original report. View the manuscript hashes and repository snapshot.