{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2T6RWZCOPCG3IOWTXDVLMDMPCC","short_pith_number":"pith:2T6RWZCO","canonical_record":{"source":{"id":"1110.2692","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-12T16:30:19Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d4cd5738ce91683bdea26db0c52a17e5ec4e7dbc509421bdfc0926eb1ea922db","abstract_canon_sha256":"7bd0541abd5ee5d912ee2b980607f7820d0f24f9d3ab167fcf68e1b0bf2ba69d"},"schema_version":"1.0"},"canonical_sha256":"d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5","source":{"kind":"arxiv","id":"1110.2692","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2692","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2692v1","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2692","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"2T6RWZCOPCG3","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2T6RWZCOPCG3IOWT","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2T6RWZCO","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2T6RWZCOPCG3IOWTXDVLMDMPCC","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2692","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-12T16:30:19Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d4cd5738ce91683bdea26db0c52a17e5ec4e7dbc509421bdfc0926eb1ea922db","abstract_canon_sha256":"7bd0541abd5ee5d912ee2b980607f7820d0f24f9d3ab167fcf68e1b0bf2ba69d"},"schema_version":"1.0"},"canonical_sha256":"d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:07.783257Z","signature_b64":"YlrXdPodgC//aJLUs1JQF5VtDr5yVXmO2MoV35DzbFghxS5IZ5ATrka6uyTC2f8vlgmyl1BQgEJ+TjjMF4aHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5","last_reissued_at":"2026-05-18T04:11:07.782602Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:07.782602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2692","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":"2026-05-18T04:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gi5nv8aB7USzo3vK5QhD0dSI2chM7xW6CqUDnh5jssSlLCcO71YrYT6CunXyGAwSoG0lOXdBf7g5eW+WgyMkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:42:50.836485Z"},"content_sha256":"bab605c99559415308e603b3c54585d9fe494dcf8ba0a892a93cb8428aab52cb","schema_version":"1.0","event_id":"sha256:bab605c99559415308e603b3c54585d9fe494dcf8ba0a892a93cb8428aab52cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2T6RWZCOPCG3IOWTXDVLMDMPCC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E.M. Ovsiyuk, O.V. Veko","submitted_at":"2011-10-12T16:30:19Z","abstract_excerpt":"There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant negative curvature, hyperbolic plane, in presence of an external magnetic field, analogue of the homogeneous magnetic field in the Minkowski space. A generalized formula for energy levels describing quantization of the motion of the vector particle in magnetic field on the 2-dimensional space H_{2} has been found, nonrelativistic and relativistic equations have been solved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2692","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":"2026-05-18T04:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4LMx93wHJVRznn+uD/xFPfq/LxBKFSrndEBQP5vZcyjKkdQhIeS0JuyaxfeLlw0WlIyeRr7c8WwtGz132lm8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:42:50.836829Z"},"content_sha256":"adad773be991d2aaa4961399b0b712e2c6fa58e5ecae893503af27ab2fbb015d","schema_version":"1.0","event_id":"sha256:adad773be991d2aaa4961399b0b712e2c6fa58e5ecae893503af27ab2fbb015d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/bundle.json","state_url":"https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/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":"2026-06-25T23:42:50Z","links":{"resolver":"https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC","bundle":"https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/bundle.json","state":"https://pith.science/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2T6RWZCOPCG3IOWTXDVLMDMPCC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2T6RWZCOPCG3IOWTXDVLMDMPCC","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":"7bd0541abd5ee5d912ee2b980607f7820d0f24f9d3ab167fcf68e1b0bf2ba69d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-12T16:30:19Z","title_canon_sha256":"d4cd5738ce91683bdea26db0c52a17e5ec4e7dbc509421bdfc0926eb1ea922db"},"schema_version":"1.0","source":{"id":"1110.2692","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2692","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2692v1","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2692","created_at":"2026-05-18T04:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"2T6RWZCOPCG3","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2T6RWZCOPCG3IOWT","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2T6RWZCO","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:adad773be991d2aaa4961399b0b712e2c6fa58e5ecae893503af27ab2fbb015d","target":"graph","created_at":"2026-05-18T04:11:07Z","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":"There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant negative curvature, hyperbolic plane, in presence of an external magnetic field, analogue of the homogeneous magnetic field in the Minkowski space. A generalized formula for energy levels describing quantization of the motion of the vector particle in magnetic field on the 2-dimensional space H_{2} has been found, nonrelativistic and relativistic equations have been solved.","authors_text":"E.M. Ovsiyuk, O.V. Veko","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-12T16:30:19Z","title":"Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2692","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:bab605c99559415308e603b3c54585d9fe494dcf8ba0a892a93cb8428aab52cb","target":"record","created_at":"2026-05-18T04:11:07Z","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":"7bd0541abd5ee5d912ee2b980607f7820d0f24f9d3ab167fcf68e1b0bf2ba69d","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-12T16:30:19Z","title_canon_sha256":"d4cd5738ce91683bdea26db0c52a17e5ec4e7dbc509421bdfc0926eb1ea922db"},"schema_version":"1.0","source":{"id":"1110.2692","kind":"arxiv","version":1}},"canonical_sha256":"d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4fd1b644e788db43ad3b8eab60d8f10baa96434257b8129b185bb432b3b7ec5","first_computed_at":"2026-05-18T04:11:07.782602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:07.782602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YlrXdPodgC//aJLUs1JQF5VtDr5yVXmO2MoV35DzbFghxS5IZ5ATrka6uyTC2f8vlgmyl1BQgEJ+TjjMF4aHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:07.783257Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2692","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bab605c99559415308e603b3c54585d9fe494dcf8ba0a892a93cb8428aab52cb","sha256:adad773be991d2aaa4961399b0b712e2c6fa58e5ecae893503af27ab2fbb015d"],"state_sha256":"62696e703b124b87f7c790162b651757bba0dba4eb617ca498664288ae8ccdeb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mrXDdH7XHZy7k0qfkBeCh4yjRvZD66VjMx6hk4hfQ/q5EBlEocn/6QcZqhrm1c9/MpQYBI8gptzVa9Yxo/DiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:42:50.838707Z","bundle_sha256":"7f511830b8e6326a8e1cd31c24b7538eea13b6cd7a470aebd97de9fcc9b6848d"}}