{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7Y4AHXTQEMSS5HFFKA2EMEFQIE","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":"5a45d675527d9b7c9ddb8085b7ee19f8501672477740883e50951213aa2b7568","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-17T09:07:52Z","title_canon_sha256":"a00ecb43cc534bf58a70d6e559bfdae9e007907721d11103a449c86b484df784"},"schema_version":"1.0","source":{"id":"1605.05066","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05066","created_at":"2026-05-18T01:08:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05066v2","created_at":"2026-05-18T01:08:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05066","created_at":"2026-05-18T01:08:41Z"},{"alias_kind":"pith_short_12","alias_value":"7Y4AHXTQEMSS","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7Y4AHXTQEMSS5HFF","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7Y4AHXTQ","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:ab257566ed8efc5aeab1ac1708e800375bd445bc8708fdee982384bb1fd019e9","target":"graph","created_at":"2026-05-18T01:08:41Z","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 the finite interactions of the generalized Proca theory including the sixth-order Lagrangian and derive the full linear perturbation equations of motion on the flat Friedmann-Lema\\^{i}tre-Robertson-Walker background in the presence of a matter perfect fluid. By construction, the propagating degrees of freedom (besides the matter perfect fluid) are two transverse vector perturbations, one longitudinal scalar, and two tensor polarizations. The Lagrangians associated with intrinsic vector modes neither affect the background equations of motion nor the second-order action of tensor per","authors_text":"Antonio De Felice, Lavinia Heisenberg, Ryotaro Kase, Shinji Mukohyama, Shinji Tsujikawa, Ying-li Zhang","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-17T09:07:52Z","title":"Effective gravitational couplings for cosmological perturbations in generalized Proca theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05066","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:e061fc86d616b8e1e52c0aea611e2535634fc8fc8d7876b31d0edf9a4b23624d","target":"record","created_at":"2026-05-18T01:08:41Z","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":"5a45d675527d9b7c9ddb8085b7ee19f8501672477740883e50951213aa2b7568","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-17T09:07:52Z","title_canon_sha256":"a00ecb43cc534bf58a70d6e559bfdae9e007907721d11103a449c86b484df784"},"schema_version":"1.0","source":{"id":"1605.05066","kind":"arxiv","version":2}},"canonical_sha256":"fe3803de7023252e9ca550344610b0411a89c5e94f5a3d7228e6ac5601b6272a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe3803de7023252e9ca550344610b0411a89c5e94f5a3d7228e6ac5601b6272a","first_computed_at":"2026-05-18T01:08:41.280775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:41.280775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NV+4zXaAbucEsTcsATW6YNa1b9a3lFWPGvDZ0A/dRW+1b7joBdZVxMuYr28C01c9yj1bzfFg8U0k3G4RHFjdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:41.281479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05066","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e061fc86d616b8e1e52c0aea611e2535634fc8fc8d7876b31d0edf9a4b23624d","sha256:ab257566ed8efc5aeab1ac1708e800375bd445bc8708fdee982384bb1fd019e9"],"state_sha256":"9cdd23150e01420ba6671902fc37dd6ab74b9c7294e97aa93a73c9d35bba4fb5"}