{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NTWAVKVIHG3LB26X6EXWTHUSJA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ca0bc80fbd534b2019a9e28d2cd64e1fd65a66db4a75a33e4077b8fa494f7ea3","cross_cats_sorted":["astro-ph.HE","hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-11-19T22:22:57Z","title_canon_sha256":"01b6fa878feef0b71e5408aae62790e60930e0100ace0556628554082d85d2ab"},"schema_version":"1.0","source":{"id":"1111.4589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4589","created_at":"2026-05-18T02:21:28Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4589v1","created_at":"2026-05-18T02:21:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4589","created_at":"2026-05-18T02:21:28Z"},{"alias_kind":"pith_short_12","alias_value":"NTWAVKVIHG3L","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NTWAVKVIHG3LB26X","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NTWAVKVI","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:be388d5ca53d7f790ecf0015af338a4fe8153db60514f671df2a20873e701362","target":"graph","created_at":"2026-05-18T02:21:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"It is shown that the Hyperbolic Branch of the radiative electroweak symmetry breaking contains in it three regions: the Focal Point, Focal Curves, and Focal Surfaces. Further, the Focal Point is shown to lie on the boundary of a Focal Curve. These focal regions allow for a small $\\mu$ while scalar masses can become large and may lie in the several TeV region. It is shown that for the mSUGRA model the current LHC-7 constraint depletes the Focal Point region while regions on Focal Curves and Focal Surfaces remain largely intact. The LHC implications for models which lie on Focal Curves are brief","authors_text":"Gregory Peim, Mengxi Liu, Pran Nath, Sujeet Akula","cross_cats":["astro-ph.HE","hep-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-11-19T22:22:57Z","title":"Naturalness, Supersymmetry and Implications for LHC and Dark Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4589","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0edbfdf885dce1007fbc4ff2e6342d3f88d762788a623ccc2dd1f7fdbaa8174e","target":"record","created_at":"2026-05-18T02:21:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ca0bc80fbd534b2019a9e28d2cd64e1fd65a66db4a75a33e4077b8fa494f7ea3","cross_cats_sorted":["astro-ph.HE","hep-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-11-19T22:22:57Z","title_canon_sha256":"01b6fa878feef0b71e5408aae62790e60930e0100ace0556628554082d85d2ab"},"schema_version":"1.0","source":{"id":"1111.4589","kind":"arxiv","version":1}},"canonical_sha256":"6cec0aaaa839b6b0ebd7f12f699e92481c3b94248eca4e5e00c76bfae68d4280","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cec0aaaa839b6b0ebd7f12f699e92481c3b94248eca4e5e00c76bfae68d4280","first_computed_at":"2026-05-18T02:21:28.545210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:28.545210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8tV1eZrczCOMUDfv8nQ7Cy4FxpJMXzMv8SAH+8MIJY86eBnVN2rGw7b1Cc2up8xEw3qeUX/TLviR8G57owd9AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:28.545857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0edbfdf885dce1007fbc4ff2e6342d3f88d762788a623ccc2dd1f7fdbaa8174e","sha256:be388d5ca53d7f790ecf0015af338a4fe8153db60514f671df2a20873e701362"],"state_sha256":"c2b73cdca9f4e3743485a5a30ed1180a5118e607b34a80209343cb6c1857dc94"}