{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YWLU4VH5NXJAQHLP7TRV4WTENO","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":"a8fc4f56540c695a5821469d6b51de0ea814bb9625649b7f91379ff95211ff86","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-30T13:54:17Z","title_canon_sha256":"feed8b38c585c12b7ca15f7f90c1b58f00dc72eeff80ca59566ecfebf8e21a3a"},"schema_version":"1.0","source":{"id":"1602.00121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00121","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00121v1","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00121","created_at":"2026-05-18T01:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"YWLU4VH5NXJA","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YWLU4VH5NXJAQHLP","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YWLU4VH5","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:4e1e50399e2d586c9e03b531a4eb88c0f3f8888f344244ad3f3572b8bb544932","target":"graph","created_at":"2026-05-18T01:21:36Z","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 framework of Lagrangian perturbation theory in general relativity we discuss the possibility to split the Einstein equations, written in terms of spatial Cartan coframes within a 3+1 foliation of spacetime, into gravitoelectric and gravitomagnetic parts. While the former reproduces the full hierarchy of the Newtonian perturbation solutions, the latter contains non-Newtonian aspects like gravitational waves. This split can be understood and made unique through the Hodge decomposition of Cartan coframe fields.","authors_text":"Fosca Al Roumi, Thomas Buchert","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-30T13:54:17Z","title":"Relativistic structure formation models and gravitoelectromagnetism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00121","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:f3e485b617d0bcf02039ac78af560fde469b99afc85b7cb86850d49b5de55f0a","target":"record","created_at":"2026-05-18T01:21:36Z","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":"a8fc4f56540c695a5821469d6b51de0ea814bb9625649b7f91379ff95211ff86","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-30T13:54:17Z","title_canon_sha256":"feed8b38c585c12b7ca15f7f90c1b58f00dc72eeff80ca59566ecfebf8e21a3a"},"schema_version":"1.0","source":{"id":"1602.00121","kind":"arxiv","version":1}},"canonical_sha256":"c5974e54fd6dd2081d6ffce35e5a646ba57a24075e028252dd6e2bbe9a975ce0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5974e54fd6dd2081d6ffce35e5a646ba57a24075e028252dd6e2bbe9a975ce0","first_computed_at":"2026-05-18T01:21:36.218714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:36.218714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IWlX3M//y/PETAcTTANTR/1xX/hCcyJYb65wvNoy3VcbSLe2eeo9htwfUXERE8Zv9er4AVevddYbgi32qh7dCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:36.219339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3e485b617d0bcf02039ac78af560fde469b99afc85b7cb86850d49b5de55f0a","sha256:4e1e50399e2d586c9e03b531a4eb88c0f3f8888f344244ad3f3572b8bb544932"],"state_sha256":"d61966198c2c182f2b47c335a1829b866f3f5ddb19396b6f0202cc1098b24963"}