{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FJ2QIBCXKTRD7FH2IQGPWORS4T","short_pith_number":"pith:FJ2QIBCX","canonical_record":{"source":{"id":"1307.8069","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-07-30T17:57:22Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"5c44252ee40dbd0bb4c027aa29ba1004aee3406ae90b8bc170d9177f5a3af93d","abstract_canon_sha256":"ad826a021ca5e78b95e7590ab77c6ad5cd704bec50553b0acd61317066bb14c9"},"schema_version":"1.0"},"canonical_sha256":"2a7504045754e23f94fa440cfb3a32e4c6acad599a4a2bdb8b6042338b9bb433","source":{"kind":"arxiv","id":"1307.8069","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.8069","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"arxiv_version","alias_value":"1307.8069v4","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8069","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"pith_short_12","alias_value":"FJ2QIBCXKTRD","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FJ2QIBCXKTRD7FH2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FJ2QIBCX","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FJ2QIBCXKTRD7FH2IQGPWORS4T","target":"record","payload":{"canonical_record":{"source":{"id":"1307.8069","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-07-30T17:57:22Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"title_canon_sha256":"5c44252ee40dbd0bb4c027aa29ba1004aee3406ae90b8bc170d9177f5a3af93d","abstract_canon_sha256":"ad826a021ca5e78b95e7590ab77c6ad5cd704bec50553b0acd61317066bb14c9"},"schema_version":"1.0"},"canonical_sha256":"2a7504045754e23f94fa440cfb3a32e4c6acad599a4a2bdb8b6042338b9bb433","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:31.521872Z","signature_b64":"GMlXHO/KkN9J7sT9vYYtyXlu1lrND+7y4BlIuxZuWWohX6HsGn+ehKsZRsIgQl+TaW5TPozcgrIvnL8JM96xDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a7504045754e23f94fa440cfb3a32e4c6acad599a4a2bdb8b6042338b9bb433","last_reissued_at":"2026-05-18T02:47:31.521217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:31.521217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.8069","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kN7cIvR3XP7quECHR97F6IJecUbQAbGA9XxWK2416aExRvAOpqkQSZY1St4SuhM1HqbTw9BNcMm6vhY8zcfKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:21:01.426504Z"},"content_sha256":"e601627b3780909bff592250a7613885e881a1315ef7021bb690a868e26cd7d1","schema_version":"1.0","event_id":"sha256:e601627b3780909bff592250a7613885e881a1315ef7021bb690a868e26cd7d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FJ2QIBCXKTRD7FH2IQGPWORS4T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superconducting analogue of the parafermion fractional quantum Hall states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Abolhassan Vaezi","submitted_at":"2013-07-30T17:57:22Z","abstract_excerpt":"Read and Rezayi $Z_k$ parafermion wavefunctions describe $\\nu=2+\\frac{k}{kM+2}$ fractional quantum Hall (FQH) states. These states support non-Abelian excitations from which protected quantum gates can be designed. However, there is no experimental evidence for these non-Abelian anyons to date. In this paper, we study the $\\nu=2/k$ FQH-superconductor heterostructure and find the superconducting analogue of the $Z_k$ parafermion FQH state. Our main tool is the mapping of the FQH into coupled one-dimensional (1D) chains each with a pair of counter-propagating modes. We show that by inducing intr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8069","kind":"arxiv","version":4},"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":"2026-05-18T02:47:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jm65KYQemr8c1y2m++d2Amtd+dr5EzTXaLHkeTOqBbKlM42heQS9L2jdtkf5ZAGHGxcNMYoWW08sPFsyc5W6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:21:01.427282Z"},"content_sha256":"af33c20944f4f149c914c1b08bc9471f87948d4b5535e47819197b8490ed1ed0","schema_version":"1.0","event_id":"sha256:af33c20944f4f149c914c1b08bc9471f87948d4b5535e47819197b8490ed1ed0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/bundle.json","state_url":"https://pith.science/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/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":"2026-06-12T02:21:01Z","links":{"resolver":"https://pith.science/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T","bundle":"https://pith.science/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/bundle.json","state":"https://pith.science/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJ2QIBCXKTRD7FH2IQGPWORS4T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FJ2QIBCXKTRD7FH2IQGPWORS4T","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":"ad826a021ca5e78b95e7590ab77c6ad5cd704bec50553b0acd61317066bb14c9","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-07-30T17:57:22Z","title_canon_sha256":"5c44252ee40dbd0bb4c027aa29ba1004aee3406ae90b8bc170d9177f5a3af93d"},"schema_version":"1.0","source":{"id":"1307.8069","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.8069","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"arxiv_version","alias_value":"1307.8069v4","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8069","created_at":"2026-05-18T02:47:31Z"},{"alias_kind":"pith_short_12","alias_value":"FJ2QIBCXKTRD","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FJ2QIBCXKTRD7FH2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FJ2QIBCX","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:af33c20944f4f149c914c1b08bc9471f87948d4b5535e47819197b8490ed1ed0","target":"graph","created_at":"2026-05-18T02:47:31Z","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":"Read and Rezayi $Z_k$ parafermion wavefunctions describe $\\nu=2+\\frac{k}{kM+2}$ fractional quantum Hall (FQH) states. These states support non-Abelian excitations from which protected quantum gates can be designed. However, there is no experimental evidence for these non-Abelian anyons to date. In this paper, we study the $\\nu=2/k$ FQH-superconductor heterostructure and find the superconducting analogue of the $Z_k$ parafermion FQH state. Our main tool is the mapping of the FQH into coupled one-dimensional (1D) chains each with a pair of counter-propagating modes. We show that by inducing intr","authors_text":"Abolhassan Vaezi","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-07-30T17:57:22Z","title":"Superconducting analogue of the parafermion fractional quantum Hall states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8069","kind":"arxiv","version":4},"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:e601627b3780909bff592250a7613885e881a1315ef7021bb690a868e26cd7d1","target":"record","created_at":"2026-05-18T02:47:31Z","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":"ad826a021ca5e78b95e7590ab77c6ad5cd704bec50553b0acd61317066bb14c9","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-07-30T17:57:22Z","title_canon_sha256":"5c44252ee40dbd0bb4c027aa29ba1004aee3406ae90b8bc170d9177f5a3af93d"},"schema_version":"1.0","source":{"id":"1307.8069","kind":"arxiv","version":4}},"canonical_sha256":"2a7504045754e23f94fa440cfb3a32e4c6acad599a4a2bdb8b6042338b9bb433","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a7504045754e23f94fa440cfb3a32e4c6acad599a4a2bdb8b6042338b9bb433","first_computed_at":"2026-05-18T02:47:31.521217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:31.521217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GMlXHO/KkN9J7sT9vYYtyXlu1lrND+7y4BlIuxZuWWohX6HsGn+ehKsZRsIgQl+TaW5TPozcgrIvnL8JM96xDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:31.521872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.8069","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e601627b3780909bff592250a7613885e881a1315ef7021bb690a868e26cd7d1","sha256:af33c20944f4f149c914c1b08bc9471f87948d4b5535e47819197b8490ed1ed0"],"state_sha256":"1c14d1817f684bff0a9a987ed57322756516ec5675cf86204296ab7d2014985f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1oKirjcLsAcrHy8OBYP2LfTnm2JyG0sslIZSucn/uN6oK4jpoNKCnLsUKdlvRfG0cQMHYwaksCg9xjNL8InDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T02:21:01.432456Z","bundle_sha256":"6fc690a5e2b014d5438b30280731e4490805c8fb9e32eddba09420a996f38c50"}}