{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7AEDZ6SBY24IFAZW2ZKOETKX5E","short_pith_number":"pith:7AEDZ6SB","canonical_record":{"source":{"id":"1204.6272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-04-27T17:13:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c06101dcb94e83a556e18a1ee74da2819b7ee882061c98ca39c3555a18ca026a","abstract_canon_sha256":"1e161aa31335d73cacae7f7f5be4e192d6fac3e0c7ac54537e3a20ebe2242fb5"},"schema_version":"1.0"},"canonical_sha256":"f8083cfa41c6b8828336d654e24d57e93f149715b37d61c4f06daa944654821a","source":{"kind":"arxiv","id":"1204.6272","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6272","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6272v1","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6272","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"7AEDZ6SBY24I","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7AEDZ6SBY24IFAZW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7AEDZ6SB","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7AEDZ6SBY24IFAZW2ZKOETKX5E","target":"record","payload":{"canonical_record":{"source":{"id":"1204.6272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-04-27T17:13:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c06101dcb94e83a556e18a1ee74da2819b7ee882061c98ca39c3555a18ca026a","abstract_canon_sha256":"1e161aa31335d73cacae7f7f5be4e192d6fac3e0c7ac54537e3a20ebe2242fb5"},"schema_version":"1.0"},"canonical_sha256":"f8083cfa41c6b8828336d654e24d57e93f149715b37d61c4f06daa944654821a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:46.560435Z","signature_b64":"ynFchOfQ/ONrsQotKEf+xVHr8xruulwrlce86D3N/tj7zvcJVdTfjwuJFvNC17+DVPQWMH8jFnTrAzcWNYhHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8083cfa41c6b8828336d654e24d57e93f149715b37d61c4f06daa944654821a","last_reissued_at":"2026-05-18T03:56:46.559824Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:46.559824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.6272","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rTugk+VzCfjaIFviYxmGPjyK2hcxb0zC7VhXnp148qzxUgpKUxBhWm1FEJlsOQ4IzvxUQOdCY2re7o+5mjH3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:57:38.334850Z"},"content_sha256":"73b55168f52ae2992b36e00e5e95978e9540c4f4bdb71b369f468ff05dac8116","schema_version":"1.0","event_id":"sha256:73b55168f52ae2992b36e00e5e95978e9540c4f4bdb71b369f468ff05dac8116"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7AEDZ6SBY24IFAZW2ZKOETKX5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slant submanifolds of lorentzian almost contact manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Khushwant Singh, M. A. Khan, Satvinder Singh Bhatia, Siraj Uddin","submitted_at":"2012-04-27T17:13:46Z","abstract_excerpt":"In this paper we study slant submanifolds of Lorentzian almost contact manifolds. We have taken the submanifold as a space like and then defined the slant angle on a submanifold and thus we extended the results of A. Lotta (Slant submanifolds in contact geometry [8]) and M. A. Khan et. al. (Slant submanifolds of Lorentzian Paracontact manifolds [7]) in this new setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6272","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9+IgJodX9kOfEMNV8iOYkJ+lW27pbtPKTsSGeSiQcwIATR44AaNFadIGE1MGX6trePrPqfJdCr81AdOegyWyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:57:38.335189Z"},"content_sha256":"5944c483ca59482035764a04d799b8d8c13b57a3a27bac18afd8bb984e59f758","schema_version":"1.0","event_id":"sha256:5944c483ca59482035764a04d799b8d8c13b57a3a27bac18afd8bb984e59f758"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/bundle.json","state_url":"https://pith.science/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T12:57:38Z","links":{"resolver":"https://pith.science/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E","bundle":"https://pith.science/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/bundle.json","state":"https://pith.science/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AEDZ6SBY24IFAZW2ZKOETKX5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7AEDZ6SBY24IFAZW2ZKOETKX5E","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":"1e161aa31335d73cacae7f7f5be4e192d6fac3e0c7ac54537e3a20ebe2242fb5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-04-27T17:13:46Z","title_canon_sha256":"c06101dcb94e83a556e18a1ee74da2819b7ee882061c98ca39c3555a18ca026a"},"schema_version":"1.0","source":{"id":"1204.6272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6272","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6272v1","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6272","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"7AEDZ6SBY24I","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7AEDZ6SBY24IFAZW","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7AEDZ6SB","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:5944c483ca59482035764a04d799b8d8c13b57a3a27bac18afd8bb984e59f758","target":"graph","created_at":"2026-05-18T03:56:46Z","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 we study slant submanifolds of Lorentzian almost contact manifolds. We have taken the submanifold as a space like and then defined the slant angle on a submanifold and thus we extended the results of A. Lotta (Slant submanifolds in contact geometry [8]) and M. A. Khan et. al. (Slant submanifolds of Lorentzian Paracontact manifolds [7]) in this new setting.","authors_text":"Khushwant Singh, M. A. Khan, Satvinder Singh Bhatia, Siraj Uddin","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-04-27T17:13:46Z","title":"Slant submanifolds of lorentzian almost contact manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6272","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":"sha256:73b55168f52ae2992b36e00e5e95978e9540c4f4bdb71b369f468ff05dac8116","target":"record","created_at":"2026-05-18T03:56:46Z","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":"1e161aa31335d73cacae7f7f5be4e192d6fac3e0c7ac54537e3a20ebe2242fb5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-04-27T17:13:46Z","title_canon_sha256":"c06101dcb94e83a556e18a1ee74da2819b7ee882061c98ca39c3555a18ca026a"},"schema_version":"1.0","source":{"id":"1204.6272","kind":"arxiv","version":1}},"canonical_sha256":"f8083cfa41c6b8828336d654e24d57e93f149715b37d61c4f06daa944654821a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8083cfa41c6b8828336d654e24d57e93f149715b37d61c4f06daa944654821a","first_computed_at":"2026-05-18T03:56:46.559824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:46.559824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ynFchOfQ/ONrsQotKEf+xVHr8xruulwrlce86D3N/tj7zvcJVdTfjwuJFvNC17+DVPQWMH8jFnTrAzcWNYhHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:46.560435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.6272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73b55168f52ae2992b36e00e5e95978e9540c4f4bdb71b369f468ff05dac8116","sha256:5944c483ca59482035764a04d799b8d8c13b57a3a27bac18afd8bb984e59f758"],"state_sha256":"13df9aeb55deaa9b0b132cdbe09078963b4db729574dcd917e2b7ec80a5399fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MfnKhg4af335wDJajEewZXjk03k/LurYy8Y3AYCQFOK/x2owg/mq8GuMrc3b2dxCuXNiqKhzevdgN1Mu7eXkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T12:57:38.336974Z","bundle_sha256":"d0c67457bc15eca759935eac81bb4ea169301239097ae834a4526fbeee52acab"}}