{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LKRKR2FFDHGA6WN66UG5P75NQ4","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":"cc78278029e592a6327fbf637925743bfe9dd76db561b13f649a36603002de9c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-14T14:43:48Z","title_canon_sha256":"1f5a065df56a8b6d35e1e98198af38f8421ac9003ee9e2a9b2df7393c557a488"},"schema_version":"1.0","source":{"id":"1505.03739","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03739","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03739v2","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03739","created_at":"2026-05-17T23:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"LKRKR2FFDHGA","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LKRKR2FFDHGA6WN6","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LKRKR2FF","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:23236e7640a007a3f2e18796ce9af364c958b244e0696238355907dae02ef532","target":"graph","created_at":"2026-05-17T23:59:33Z","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":"Connections compatible with degenerate metric structures are known to possess peculiar features: on the one hand, the compatibility conditions involve restrictions on the torsion; on the other hand, torsionfree compatible connections are not unique, the arbitrariness being encoded in a tensor field whose type depends on the metric structure. Nonrelativistic structures typically fall under this scheme, the paradigmatic example being a contravariant degenerate metric whose kernel is spanned by a one-form. Torsionfree compatible (i.e. Galilean) connections are characterised by the gift of a two-f","authors_text":"Kevin Morand, Xavier Bekaert","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-14T14:43:48Z","title":"Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03739","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":"sha256:889dc1158ec35a43e3d67de571f8a3a1758836f84693b9335a49c064dfd08606","target":"record","created_at":"2026-05-17T23:59:33Z","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":"cc78278029e592a6327fbf637925743bfe9dd76db561b13f649a36603002de9c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-14T14:43:48Z","title_canon_sha256":"1f5a065df56a8b6d35e1e98198af38f8421ac9003ee9e2a9b2df7393c557a488"},"schema_version":"1.0","source":{"id":"1505.03739","kind":"arxiv","version":2}},"canonical_sha256":"5aa2a8e8a519cc0f59bef50dd7ffad8721009677ac45be91442848ccd2443119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aa2a8e8a519cc0f59bef50dd7ffad8721009677ac45be91442848ccd2443119","first_computed_at":"2026-05-17T23:59:33.515818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:33.515818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gBGvII3dvhN4hx/BVqf8loxK0OZ4+C1DA6mQysLo5OKY5xbqWP3bxg0/+qz+sl/avtcVi9rw9vAhkvoUHx1pDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:33.516501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03739","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:889dc1158ec35a43e3d67de571f8a3a1758836f84693b9335a49c064dfd08606","sha256:23236e7640a007a3f2e18796ce9af364c958b244e0696238355907dae02ef532"],"state_sha256":"a2cadf69dda9f894a99632ee852f29a43c65114c07a0f187d67b8b6629e0f520"}