{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:4YDHNAZRGOO4SC2DFK4TWSOR7C","short_pith_number":"pith:4YDHNAZR","schema_version":"1.0","canonical_sha256":"e606768331339dc90b432ab93b49d1f89515731523a0fe8aa5a8d15281647a2a","source":{"kind":"arxiv","id":"0812.2605","version":2},"attestation_state":"computed","paper":{"title":"Generalized (\\kappa,\\mu)-space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alfonso Carriazo, Mukut Mani Tripathi, Ver\\'onica Mart\\'in-Molina","submitted_at":"2008-12-14T06:33:22Z","abstract_excerpt":"Generalized (\\kappa ,\\mu)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case."},"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":"0812.2605","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-14T06:33:22Z","cross_cats_sorted":[],"title_canon_sha256":"9c2b1bd569b7180c99f20a45e7dcb5de6641e8bbd32e4cd6588bc28dd0d060ec","abstract_canon_sha256":"58e37318b02a06f61f26f580a28fdb05609a72a477bc12b9145da5eed987f1ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:07.257140Z","signature_b64":"aU0tokrAmtQY3+Xmdpmw/ke4e9F+u9dK3Q0N+N8xoGD/ZvoconyBI4HPsREityqAW6JBEa6dcsgRMNuPG+qBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e606768331339dc90b432ab93b49d1f89515731523a0fe8aa5a8d15281647a2a","last_reissued_at":"2026-05-18T03:31:07.256333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:07.256333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized (\\kappa,\\mu)-space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alfonso Carriazo, Mukut Mani Tripathi, Ver\\'onica Mart\\'in-Molina","submitted_at":"2008-12-14T06:33:22Z","abstract_excerpt":"Generalized (\\kappa ,\\mu)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2605","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":"0812.2605","created_at":"2026-05-18T03:31:07.256463+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.2605v2","created_at":"2026-05-18T03:31:07.256463+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.2605","created_at":"2026-05-18T03:31:07.256463+00:00"},{"alias_kind":"pith_short_12","alias_value":"4YDHNAZRGOO4","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"4YDHNAZRGOO4SC2D","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"4YDHNAZR","created_at":"2026-05-18T12:25:56.245647+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/4YDHNAZRGOO4SC2DFK4TWSOR7C","json":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C.json","graph_json":"https://pith.science/api/pith-number/4YDHNAZRGOO4SC2DFK4TWSOR7C/graph.json","events_json":"https://pith.science/api/pith-number/4YDHNAZRGOO4SC2DFK4TWSOR7C/events.json","paper":"https://pith.science/paper/4YDHNAZR"},"agent_actions":{"view_html":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C","download_json":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C.json","view_paper":"https://pith.science/paper/4YDHNAZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.2605&json=true","fetch_graph":"https://pith.science/api/pith-number/4YDHNAZRGOO4SC2DFK4TWSOR7C/graph.json","fetch_events":"https://pith.science/api/pith-number/4YDHNAZRGOO4SC2DFK4TWSOR7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C/action/storage_attestation","attest_author":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C/action/author_attestation","sign_citation":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C/action/citation_signature","submit_replication":"https://pith.science/pith/4YDHNAZRGOO4SC2DFK4TWSOR7C/action/replication_record"}},"created_at":"2026-05-18T03:31:07.256463+00:00","updated_at":"2026-05-18T03:31:07.256463+00:00"}