{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FV2JZFAY7ZZATU72J72MTDJNUZ","short_pith_number":"pith:FV2JZFAY","canonical_record":{"source":{"id":"1811.06388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T18:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"8ecb3525bebe1414c247c525e96f76f756ead6db7bbe068661d37d3949ca601e","abstract_canon_sha256":"f091831730d9c5453a16adc30ce1b5fa82e3db3437f4be60f44416baba182022"},"schema_version":"1.0"},"canonical_sha256":"2d749c9418fe7209d3fa4ff4c98d2da649fca742eea25c22d93f443760090a28","source":{"kind":"arxiv","id":"1811.06388","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06388","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06388v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06388","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"FV2JZFAY7ZZA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FV2JZFAY7ZZATU72","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FV2JZFAY","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FV2JZFAY7ZZATU72J72MTDJNUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T18:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"8ecb3525bebe1414c247c525e96f76f756ead6db7bbe068661d37d3949ca601e","abstract_canon_sha256":"f091831730d9c5453a16adc30ce1b5fa82e3db3437f4be60f44416baba182022"},"schema_version":"1.0"},"canonical_sha256":"2d749c9418fe7209d3fa4ff4c98d2da649fca742eea25c22d93f443760090a28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:37.835608Z","signature_b64":"c5VtzvKDdBkJnxqto4qvZ4UK9usH+f8D0DKUPXALVl4SKt/PbgRrG4VeEMqBbxLTEapPubIAuSVmDjjqErs3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d749c9418fe7209d3fa4ff4c98d2da649fca742eea25c22d93f443760090a28","last_reissued_at":"2026-05-18T00:00:37.835127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:37.835127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06388","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":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rBKS8lWtlPWoeN4fMPZK3jDL8Ey3U8ghJALvJBER9Ak1N/AmpAPxIYCSHj81+tYIxy9Kd83CIKp4ZNZvZ8t8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:44:38.259810Z"},"content_sha256":"a96178586d6dbf172b5bbd10a572a06151e0c0d1f5eec00b29a8b7887c6325a5","schema_version":"1.0","event_id":"sha256:a96178586d6dbf172b5bbd10a572a06151e0c0d1f5eec00b29a8b7887c6325a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FV2JZFAY7ZZATU72J72MTDJNUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Field Induced Oscillation of Two Majorana Modes in a Quantum Ring","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kwok Yip Szeto, Yue Yu","submitted_at":"2018-11-14T18:56:45Z","abstract_excerpt":"We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also find approximate solution. By turning on a small field at time zero, we find a field induced oscillation of the Majorana states that was initially localized. The range of validity of our solution, the relation between the period of oscillation and the coin parameter and field strength, and the encoding of a message of the on/off of the field using the Majorana "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06388","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":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tfeJxPGOJc1L8a2BcVzhBY0Syhm6oA4z1M+SnxK9ZZtqLcoXA4T0fJ+sNpGhLfb3S4W90nUBy5X/YU/yHCGPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:44:38.260211Z"},"content_sha256":"fb79286c812bfbd0c123859f8897cfe5efa58459908d694b5a9f0d92e4682c91","schema_version":"1.0","event_id":"sha256:fb79286c812bfbd0c123859f8897cfe5efa58459908d694b5a9f0d92e4682c91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/bundle.json","state_url":"https://pith.science/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/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":"2026-06-04T21:44:38Z","links":{"resolver":"https://pith.science/pith/FV2JZFAY7ZZATU72J72MTDJNUZ","bundle":"https://pith.science/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/bundle.json","state":"https://pith.science/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FV2JZFAY7ZZATU72J72MTDJNUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FV2JZFAY7ZZATU72J72MTDJNUZ","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":"f091831730d9c5453a16adc30ce1b5fa82e3db3437f4be60f44416baba182022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T18:56:45Z","title_canon_sha256":"8ecb3525bebe1414c247c525e96f76f756ead6db7bbe068661d37d3949ca601e"},"schema_version":"1.0","source":{"id":"1811.06388","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06388","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06388v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06388","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"FV2JZFAY7ZZA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FV2JZFAY7ZZATU72","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FV2JZFAY","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:fb79286c812bfbd0c123859f8897cfe5efa58459908d694b5a9f0d92e4682c91","target":"graph","created_at":"2026-05-18T00:00:37Z","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":"We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also find approximate solution. By turning on a small field at time zero, we find a field induced oscillation of the Majorana states that was initially localized. The range of validity of our solution, the relation between the period of oscillation and the coin parameter and field strength, and the encoding of a message of the on/off of the field using the Majorana ","authors_text":"Kwok Yip Szeto, Yue Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T18:56:45Z","title":"Field Induced Oscillation of Two Majorana Modes in a Quantum Ring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06388","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:a96178586d6dbf172b5bbd10a572a06151e0c0d1f5eec00b29a8b7887c6325a5","target":"record","created_at":"2026-05-18T00:00:37Z","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":"f091831730d9c5453a16adc30ce1b5fa82e3db3437f4be60f44416baba182022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T18:56:45Z","title_canon_sha256":"8ecb3525bebe1414c247c525e96f76f756ead6db7bbe068661d37d3949ca601e"},"schema_version":"1.0","source":{"id":"1811.06388","kind":"arxiv","version":1}},"canonical_sha256":"2d749c9418fe7209d3fa4ff4c98d2da649fca742eea25c22d93f443760090a28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d749c9418fe7209d3fa4ff4c98d2da649fca742eea25c22d93f443760090a28","first_computed_at":"2026-05-18T00:00:37.835127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:37.835127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c5VtzvKDdBkJnxqto4qvZ4UK9usH+f8D0DKUPXALVl4SKt/PbgRrG4VeEMqBbxLTEapPubIAuSVmDjjqErs3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:37.835608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06388","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a96178586d6dbf172b5bbd10a572a06151e0c0d1f5eec00b29a8b7887c6325a5","sha256:fb79286c812bfbd0c123859f8897cfe5efa58459908d694b5a9f0d92e4682c91"],"state_sha256":"685669896a6381f2a9b288fcac85d043ed3dd1413884efb4073487035bf93374"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"llYG1GhdRlWp2Nao/lp262bnJl0UYyTFQGclG92shGEyXvPXk19Uq3K7ulNwt11y3D6i7fMRzMRSP9jXMTy7Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:44:38.262121Z","bundle_sha256":"6167b75016f6e3332b8c806ced934316f3225169a669f353b6431f86a289b544"}}