{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6AW5IG6XDWOHUGIXW55EVLLFAD","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":"bbdda5fa5b4a4c78906ef0eaa376d799f233390d24845cff9c5716abf7dccf66","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T23:46:28Z","title_canon_sha256":"017c920e6f65180122c71184b43d59c3b80551a158341bfbb7249eb165949b2e"},"schema_version":"1.0","source":{"id":"1411.0736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0736","created_at":"2026-05-18T02:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0736v2","created_at":"2026-05-18T02:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0736","created_at":"2026-05-18T02:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"6AW5IG6XDWOH","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6AW5IG6XDWOHUGIX","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6AW5IG6X","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:a172edf27e6e95ad78f149f53143818db178ac79df5d0f55669ba2a343235d57","target":"graph","created_at":"2026-05-18T02:03:35Z","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":"In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmological background. This analysis accommodates a wide range of gravitational theories including Horndeski theories, its generalization, and the theories with spatial derivatives higher than second order (e.g., Horava-Lifshitz gravity). We obtain the inflationary power spectrum of tensor modes by taking into account corrections induced by higher-order spatial derivatives and slow-roll corrections to the de Sitter back","authors_text":"Antonio De Felice, Shinji Tsujikawa","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T23:46:28Z","title":"Inflationary gravitational waves in the effective field theory of modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0736","kind":"arxiv","version":2},"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":"sha256:6d53b32c9433ee5af046b59729a101ed57ec3c6ee4dd6927aa7690adaebff9f5","target":"record","created_at":"2026-05-18T02:03:35Z","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":"bbdda5fa5b4a4c78906ef0eaa376d799f233390d24845cff9c5716abf7dccf66","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T23:46:28Z","title_canon_sha256":"017c920e6f65180122c71184b43d59c3b80551a158341bfbb7249eb165949b2e"},"schema_version":"1.0","source":{"id":"1411.0736","kind":"arxiv","version":2}},"canonical_sha256":"f02dd41bd71d9c7a1917b77a4aad6500e3a6dc694fb54d5834fd1500b82e0fbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f02dd41bd71d9c7a1917b77a4aad6500e3a6dc694fb54d5834fd1500b82e0fbd","first_computed_at":"2026-05-18T02:03:35.358718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:35.358718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/QcS6aDkgHmsNIc+0xod7FGFtqruD4tkn4xUy2IY+ckxc25fCm65t1HWQ8DQKuZQg6B49k1piRP2zRx9SYI7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:35.359433Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d53b32c9433ee5af046b59729a101ed57ec3c6ee4dd6927aa7690adaebff9f5","sha256:a172edf27e6e95ad78f149f53143818db178ac79df5d0f55669ba2a343235d57"],"state_sha256":"d502b4bca42858098121485e32b222caeabf4e5eb2984f6ea30a778221a6ff8f"}