Hyperbolic geometry and rigidity

Arithmeticity, superrigidity, and totally geodesic submanifolds

Uri Bader, David Fisher, Nicholas Miller and Matthew Stover

23 pages23 claims indexed41 referencesManuscript 2020-04-26

Independent assessments and attempt coverage

These are returned final assessments, not accepted campaign conclusions. Initial responses were produced independently; source adjudication and arbitration followed. A packet assessment is not a full-paper review. Failed/invalid attempts supply no mathematical verdict. Later coordinator checks can resolve context complaints left in an initial response.

Attempt Scope Model / effort Delivery Final assessment
1 full-text / full_manuscript gpt-6.1-sol / high completed JSON
2 local / narrative:94293 gpt-6.1-sol / high completed JSON
3 local / prop:homogen gpt-6.1-sol / high completed JSON
4 local / prop:liftingmeasures gpt-6.1-sol / high completed JSON
5 local / thm:MS gpt-6.1-sol / high completed JSON
6 local / theorem:superrigiditydichotomy gpt-6.1-sol / high completed JSON
7 local / thm:main:homogeneous gpt-6.1-sol / high completed JSON
8 local / thm:main gpt-6.1-sol / high completed JSON
9 local / cor:kleinian gpt-6.1-sol / high completed JSON
10 local / prop:liftingmeasures gemini-4-argon / high completed JSON
11 local / narrative:14240 gpt-6.1-sol / high completed JSON
12 local / lem:initobj gpt-6.1-sol / high completed JSON
13 local / targeted packet claude-opus-5-5 / max provider_failed_or_incomplete No accepted assessment
14 local / thm:dehnfilling gpt-6.1-sol / high completed JSON
15 local / cor:knots gpt-6.1-sol / high completed JSON
16 local / thm:BF gpt-6.1-sol / high completed JSON
17 local / lemma:properness gpt-6.1-sol / high completed JSON
18 local / lemma:compatible gemini-4-argon / high completed JSON
19 local / lem:clarifying gpt-6.1-sol / high completed JSON
20 local / targeted packet claude-opus-5-5 / max provider_failed_or_incomplete No accepted assessment
21 local / lemma:compatible gpt-6.1-sol / high completed JSON
22 arbitration-000 / targeted packet gemini-4-argon / high invalid_assessment No accepted assessment
23 arbitration-001 / targeted packet claude-opus-5-5 / max provider_failed_or_incomplete No accepted assessment
24 arbitration-002 / targeted packet gemini-4-argon / high invalid_assessment No accepted assessment

Original output hashes and the sanitized attempt ledger are available in attempts.json. No raw request, provider result, or reasoning stream is included.

The user separately supplied an Astra assessment and a Fable assessment. They were excluded from the initial native prompts. Their theorem-level repair endorsements remain attributed proposals; model IDs and effort settings were not independently authenticated, and subscription costs are unknown. The current report incorporates only the separately checked portions.

Source record

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