{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ODLPU27ZDENE7DWJMIRGV2SR7Q","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":"b2c5cad5ffefa2c53ac8498f8275f41b0af786b789d9882453d63ea21f86c4b4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-12T14:47:32Z","title_canon_sha256":"0d258c56138b4f7e0ff5e00863d2b74fa9e9cadbba7dc686b190072591ec16d1"},"schema_version":"1.0","source":{"id":"1705.04604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04604","created_at":"2026-05-18T00:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04604v1","created_at":"2026-05-18T00:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04604","created_at":"2026-05-18T00:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"ODLPU27ZDENE","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"ODLPU27ZDENE7DWJ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"ODLPU27Z","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:81136ae5e64241321feae16f95229143cbc43b5327b04e0867340e83efb654e7","target":"graph","created_at":"2026-05-18T00:41:32Z","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 present work, we propose an Action Principle for Action-dependent Lagrangians by generalizing the Herglotz variational problem for several independent variables. This Action Principle enables us to formulate Lagrangian densities for non-conservative fields. In special, from a Lagrangian depending linearly on the Action, we obtain a generalized Einstein's field equations for a non-conservative gravity and analyze some consequences of their solutions to cosmology and gravitational waves. We show that the non-conservative part of the field equations depends on a constant cosmological four-","authors_text":"Gast\\~ao S. F. Frederico, Jo\\~ao T. S. Amaral, Juilson Paiva, Matheus J. Lazo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-12T14:47:32Z","title":"From an Action Principle for Action-dependent Lagrangians toward non-conservative Gravity: accelerating Universe without dark energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04604","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:edd77054fd1abc1587409a6f91eeaa4c9e66ec45bfabe555b63df56a3edc612d","target":"record","created_at":"2026-05-18T00:41:32Z","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":"b2c5cad5ffefa2c53ac8498f8275f41b0af786b789d9882453d63ea21f86c4b4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-12T14:47:32Z","title_canon_sha256":"0d258c56138b4f7e0ff5e00863d2b74fa9e9cadbba7dc686b190072591ec16d1"},"schema_version":"1.0","source":{"id":"1705.04604","kind":"arxiv","version":1}},"canonical_sha256":"70d6fa6bf9191a4f8ec962226aea51fc3fc180a2b1c7c33b404fb1d9ec646cc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70d6fa6bf9191a4f8ec962226aea51fc3fc180a2b1c7c33b404fb1d9ec646cc7","first_computed_at":"2026-05-18T00:41:32.715806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:32.715806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RWLWkrlRKzfJqEgE4Ft6afwWg4dwaFOH8peREKtNo540k/e8B1X1Gcj/l85NoWJLKrv8Bvjjzarv7uieuKF8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:32.716343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edd77054fd1abc1587409a6f91eeaa4c9e66ec45bfabe555b63df56a3edc612d","sha256:81136ae5e64241321feae16f95229143cbc43b5327b04e0867340e83efb654e7"],"state_sha256":"7f016ec3b9a6478ed8c5ad17b8bc0c6c3636e4c1cce1ce1de96c6e13e6af6805"}