{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:M7K3KZXKX2DXXHHK57MKZOSYRB","short_pith_number":"pith:M7K3KZXK","schema_version":"1.0","canonical_sha256":"67d5b566eabe877b9ceaefd8acba58887406a45b47185ec6bff1a09a126010e1","source":{"kind":"arxiv","id":"1201.1129","version":2},"attestation_state":"computed","paper":{"title":"The boundary of G\\\"odel's spacetime and the chronology protection conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"P. Pitanga","submitted_at":"2012-01-05T11:28:59Z","abstract_excerpt":"We present a homogenous anisotropic conformal spacetime manifold that provide an example of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the seven-dimensional group of the automorphism of the Heisenberg motion group H1{\\times}U(1), modulo discrete sub-group \\Gamma, is the symmetry group of the sub-Riemannian (SR)- manifold, boundary of the Cauchy-Riemann (CR)-manifold, allowing the existence of positive mass, momentum, angular-momentum and timelike-translation. It is shown that many mirror symmetric self-similar G\\\"ode"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1201.1129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-05T11:28:59Z","cross_cats_sorted":[],"title_canon_sha256":"ce02fdf89a3d8d93969fbbf87d7202b1d5b78a71f79725c0ff387f797a28bb43","abstract_canon_sha256":"54effbb2a06e717c3559a229c8eaa4ed79020423341b1e71be0eb5d052becc5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:03.176239Z","signature_b64":"Uob84w5dr0HtiQfTZF6xiuDKgh5oNNXR+Pe93BQklaTTRzJmPv+gqHpl/QbC9wmdpWoqzUMuGfm6/KnBvag2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67d5b566eabe877b9ceaefd8acba58887406a45b47185ec6bff1a09a126010e1","last_reissued_at":"2026-05-18T04:05:03.175622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:03.175622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The boundary of G\\\"odel's spacetime and the chronology protection conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"P. Pitanga","submitted_at":"2012-01-05T11:28:59Z","abstract_excerpt":"We present a homogenous anisotropic conformal spacetime manifold that provide an example of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the seven-dimensional group of the automorphism of the Heisenberg motion group H1{\\times}U(1), modulo discrete sub-group \\Gamma, is the symmetry group of the sub-Riemannian (SR)- manifold, boundary of the Cauchy-Riemann (CR)-manifold, allowing the existence of positive mass, momentum, angular-momentum and timelike-translation. It is shown that many mirror symmetric self-similar G\\\"ode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1129","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1201.1129","created_at":"2026-05-18T04:05:03.175729+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.1129v2","created_at":"2026-05-18T04:05:03.175729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1129","created_at":"2026-05-18T04:05:03.175729+00:00"},{"alias_kind":"pith_short_12","alias_value":"M7K3KZXKX2DX","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"M7K3KZXKX2DXXHHK","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"M7K3KZXK","created_at":"2026-05-18T12:27:14.488303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB","json":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB.json","graph_json":"https://pith.science/api/pith-number/M7K3KZXKX2DXXHHK57MKZOSYRB/graph.json","events_json":"https://pith.science/api/pith-number/M7K3KZXKX2DXXHHK57MKZOSYRB/events.json","paper":"https://pith.science/paper/M7K3KZXK"},"agent_actions":{"view_html":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB","download_json":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB.json","view_paper":"https://pith.science/paper/M7K3KZXK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.1129&json=true","fetch_graph":"https://pith.science/api/pith-number/M7K3KZXKX2DXXHHK57MKZOSYRB/graph.json","fetch_events":"https://pith.science/api/pith-number/M7K3KZXKX2DXXHHK57MKZOSYRB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB/action/storage_attestation","attest_author":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB/action/author_attestation","sign_citation":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB/action/citation_signature","submit_replication":"https://pith.science/pith/M7K3KZXKX2DXXHHK57MKZOSYRB/action/replication_record"}},"created_at":"2026-05-18T04:05:03.175729+00:00","updated_at":"2026-05-18T04:05:03.175729+00:00"}