{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LXXIEUU35JSF5D3AF6CFTZQQN2","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":"6d83cf2e1f9956a9096b2608d2566df1b1d4fa0ca11657c9a6fabd89a656c734","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-18T19:01:49Z","title_canon_sha256":"c5326f8a029d6ce07264224781a23a1493ee65cb2b82bd6e1ea0b98dd1d5a7e1"},"schema_version":"1.0","source":{"id":"1104.3563","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3563","created_at":"2026-05-18T02:02:23Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3563v3","created_at":"2026-05-18T02:02:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3563","created_at":"2026-05-18T02:02:23Z"},{"alias_kind":"pith_short_12","alias_value":"LXXIEUU35JSF","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LXXIEUU35JSF5D3A","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LXXIEUU3","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:b113e54df4abef386504b33b556e87b7c77b73f8fd1568b45b38ad7a01b4b305","target":"graph","created_at":"2026-05-18T02:02:23Z","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 this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time and the reasons for its introduction are presented. Alongside the 3-dimensional space (S) the 3-dimensional space of spatial rotations (SR) is considered independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3x3 matrices in this 3+3+3-dimensional space. Special attention is dedicated for introduction and study of the space SxSR, which appears to be isomorphic to SO(3,R)xSO(3,R) or S^3xS^3. The inf","authors_text":"Kostadin Trencevski","cross_cats":["math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-18T19:01:49Z","title":"The geometry of the space-time and motion of the spinning bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3563","kind":"arxiv","version":3},"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":"sha256:4599f00980f73f76afa1016a70a4050b10009c93702d4bfeb32fc192fc58f890","target":"record","created_at":"2026-05-18T02:02:23Z","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":"6d83cf2e1f9956a9096b2608d2566df1b1d4fa0ca11657c9a6fabd89a656c734","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-18T19:01:49Z","title_canon_sha256":"c5326f8a029d6ce07264224781a23a1493ee65cb2b82bd6e1ea0b98dd1d5a7e1"},"schema_version":"1.0","source":{"id":"1104.3563","kind":"arxiv","version":3}},"canonical_sha256":"5dee82529bea645e8f602f8459e6106e84934b490feadd5389f7bbfc6330878e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dee82529bea645e8f602f8459e6106e84934b490feadd5389f7bbfc6330878e","first_computed_at":"2026-05-18T02:02:23.394716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:23.394716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZKmQiTAuEQelb+jOqC2VCNI8+OXX80uh0TFZobb1eP2w7GsDyTVGT84mAPDZbEuVIgFhZgqlGUF9KxA3DfgHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:23.395533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3563","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4599f00980f73f76afa1016a70a4050b10009c93702d4bfeb32fc192fc58f890","sha256:b113e54df4abef386504b33b556e87b7c77b73f8fd1568b45b38ad7a01b4b305"],"state_sha256":"259220fd63a5858971d3ddbd3d3ad904f57d08c3cbf51f23a1ff2f6fa7d340eb"}