{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D7ICLQPFJSY376VRBCFWXDEZHI","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":"1c6ae3831a22e4075a81e2ec58e7ae016b6cd741d94df6ba2db86eca70ca7549","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-19T10:12:58Z","title_canon_sha256":"01ded3b28093690bf3f58ae44d7880ed972244b45793eab985bb66a90837cbc8"},"schema_version":"1.0","source":{"id":"1305.4344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4344","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4344v1","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4344","created_at":"2026-05-18T03:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"D7ICLQPFJSY3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D7ICLQPFJSY376VR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D7ICLQPF","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:7d77fb534a5e58c73ceaa4632cd17e5e581b2ef677643413fd348d1c05638cc3","target":"graph","created_at":"2026-05-18T03:25:24Z","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":"We consider D-dimensional Lovelock gravity with only one term of higher-order Lovelock Lagrangian densities, and show that a product of Minkowski space-time and n-spheres is its vacuum solution. The most interesting feature of our model is that the spontaneous compactification of the extra dimensions results in reproduction of the Einstein gravity with no cosmological constant.","authors_text":"Kouzou Nishida","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-19T10:12:58Z","title":"Lovelock Gravity with Spontaneous Dimensional Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4344","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:ac68ff5e01d6deb8230664a45dd1a0ad2ce088e5128626cdeeaea9a866f016a8","target":"record","created_at":"2026-05-18T03:25:24Z","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":"1c6ae3831a22e4075a81e2ec58e7ae016b6cd741d94df6ba2db86eca70ca7549","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-05-19T10:12:58Z","title_canon_sha256":"01ded3b28093690bf3f58ae44d7880ed972244b45793eab985bb66a90837cbc8"},"schema_version":"1.0","source":{"id":"1305.4344","kind":"arxiv","version":1}},"canonical_sha256":"1fd025c1e54cb1bffab1088b6b8c993a2eb0919c64632d328a10b96a2bd5a71a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fd025c1e54cb1bffab1088b6b8c993a2eb0919c64632d328a10b96a2bd5a71a","first_computed_at":"2026-05-18T03:25:24.030080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:24.030080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wkMs30nHXu9j6L4uKshmew5jD3W+fY9bw98VmUrmKjSQteOgCY//T8HuuEfitWBTIQotADXz3vDYFz7pZvHfBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:24.030829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac68ff5e01d6deb8230664a45dd1a0ad2ce088e5128626cdeeaea9a866f016a8","sha256:7d77fb534a5e58c73ceaa4632cd17e5e581b2ef677643413fd348d1c05638cc3"],"state_sha256":"763170a64654ed2c98494aed057440d9fa10471626e0fe412c5abd3718ab40a5"}