{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JA7AESUIYBR5JCBNAD2AVKFSKS","short_pith_number":"pith:JA7AESUI","canonical_record":{"source":{"id":"1409.6575","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-09-23T15:16:06Z","cross_cats_sorted":[],"title_canon_sha256":"0b96b67f972c01331116e623e52b6aad22cd7befa96e3220b6135fcaa6fa8039","abstract_canon_sha256":"efb6a626df9751178ddbfe703cf197dc579ded52b9530ed54b5d538e3f887892"},"schema_version":"1.0"},"canonical_sha256":"483e024a88c063d4882d00f40aa8b254aadbb1aae1fb8a5bb4fe7953817e05a8","source":{"kind":"arxiv","id":"1409.6575","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6575","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6575v3","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6575","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"JA7AESUIYBR5","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JA7AESUIYBR5JCBN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JA7AESUI","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JA7AESUIYBR5JCBNAD2AVKFSKS","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6575","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-09-23T15:16:06Z","cross_cats_sorted":[],"title_canon_sha256":"0b96b67f972c01331116e623e52b6aad22cd7befa96e3220b6135fcaa6fa8039","abstract_canon_sha256":"efb6a626df9751178ddbfe703cf197dc579ded52b9530ed54b5d538e3f887892"},"schema_version":"1.0"},"canonical_sha256":"483e024a88c063d4882d00f40aa8b254aadbb1aae1fb8a5bb4fe7953817e05a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:32.835189Z","signature_b64":"8Xwhr8uGXZ5QLeDrQTWMaJtF1/hkgK5oZQ1isGDHPseRnAi4UJY9Zhtx+FxFIYPPjMJDBD4PEULIOl8Rwr39CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"483e024a88c063d4882d00f40aa8b254aadbb1aae1fb8a5bb4fe7953817e05a8","last_reissued_at":"2026-05-18T01:35:32.834731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:32.834731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6575","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQvoOD3xqixIMc8S1rlIPJdZvXu175YkAxjakCKekSCgIikPS+hawQI8HwgvBxi3xYt8d+ABc+3C24bRC3XaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:07:14.346723Z"},"content_sha256":"70cbd042c6c2ee141f7e1851d9fe4563ca5940394f991abab2cf093082501985","schema_version":"1.0","event_id":"sha256:70cbd042c6c2ee141f7e1851d9fe4563ca5940394f991abab2cf093082501985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JA7AESUIYBR5JCBNAD2AVKFSKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-body Majorana operators and the equivalence of parity sectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"G. Kells","submitted_at":"2014-09-23T15:16:06Z","abstract_excerpt":"The one-dimensional p-wave topological superconductor model with open-boundary conditions is examined in its topological phase. Using the eigenbasis of the non-interacting system I show that, provided the interactions are local and do not result in a closing of the gap, then even and odd parity sectors are unitarily equivalent. Following on from this, it is possible to define two many-body operators that connect each state in one sector with a degenerate counterpart in the sector with opposite parity. This result applies to all states in the system and therefore establishes, for a long enough "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6575","kind":"arxiv","version":3},"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":"2026-05-18T01:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WAbX02tj8HlZxclAwYrBV9o/7uw7qBrarldq/3vtskWqDekKukz7u7quzBH130HIa+wVmFQ83QeH26RH7/EbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:07:14.347096Z"},"content_sha256":"506a867a860487f31bef0c6333dce07c9ecc876c3276c327cd4f1446baeb3cd6","schema_version":"1.0","event_id":"sha256:506a867a860487f31bef0c6333dce07c9ecc876c3276c327cd4f1446baeb3cd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/bundle.json","state_url":"https://pith.science/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/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":"2026-06-02T13:07:14Z","links":{"resolver":"https://pith.science/pith/JA7AESUIYBR5JCBNAD2AVKFSKS","bundle":"https://pith.science/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/bundle.json","state":"https://pith.science/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JA7AESUIYBR5JCBNAD2AVKFSKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JA7AESUIYBR5JCBNAD2AVKFSKS","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":"efb6a626df9751178ddbfe703cf197dc579ded52b9530ed54b5d538e3f887892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-09-23T15:16:06Z","title_canon_sha256":"0b96b67f972c01331116e623e52b6aad22cd7befa96e3220b6135fcaa6fa8039"},"schema_version":"1.0","source":{"id":"1409.6575","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6575","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6575v3","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6575","created_at":"2026-05-18T01:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"JA7AESUIYBR5","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JA7AESUIYBR5JCBN","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JA7AESUI","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:506a867a860487f31bef0c6333dce07c9ecc876c3276c327cd4f1446baeb3cd6","target":"graph","created_at":"2026-05-18T01:35:32Z","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":"The one-dimensional p-wave topological superconductor model with open-boundary conditions is examined in its topological phase. Using the eigenbasis of the non-interacting system I show that, provided the interactions are local and do not result in a closing of the gap, then even and odd parity sectors are unitarily equivalent. Following on from this, it is possible to define two many-body operators that connect each state in one sector with a degenerate counterpart in the sector with opposite parity. This result applies to all states in the system and therefore establishes, for a long enough ","authors_text":"G. Kells","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-09-23T15:16:06Z","title":"Many-body Majorana operators and the equivalence of parity sectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6575","kind":"arxiv","version":3},"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":"sha256:70cbd042c6c2ee141f7e1851d9fe4563ca5940394f991abab2cf093082501985","target":"record","created_at":"2026-05-18T01:35:32Z","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":"efb6a626df9751178ddbfe703cf197dc579ded52b9530ed54b5d538e3f887892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-09-23T15:16:06Z","title_canon_sha256":"0b96b67f972c01331116e623e52b6aad22cd7befa96e3220b6135fcaa6fa8039"},"schema_version":"1.0","source":{"id":"1409.6575","kind":"arxiv","version":3}},"canonical_sha256":"483e024a88c063d4882d00f40aa8b254aadbb1aae1fb8a5bb4fe7953817e05a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"483e024a88c063d4882d00f40aa8b254aadbb1aae1fb8a5bb4fe7953817e05a8","first_computed_at":"2026-05-18T01:35:32.834731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:32.834731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Xwhr8uGXZ5QLeDrQTWMaJtF1/hkgK5oZQ1isGDHPseRnAi4UJY9Zhtx+FxFIYPPjMJDBD4PEULIOl8Rwr39CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:32.835189Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6575","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70cbd042c6c2ee141f7e1851d9fe4563ca5940394f991abab2cf093082501985","sha256:506a867a860487f31bef0c6333dce07c9ecc876c3276c327cd4f1446baeb3cd6"],"state_sha256":"4b3c2ce48d0e116f0c8450e5d51899aee47b50afa1d13b91ca99491acb0cb23d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hcbb+vtQmtH8+oU87TyfUoeFkXad7KBgEKa9dMaIZgnWedsqzPdmS/yzFPWTtHFNnzipw25k8bJkHbDQ+pJ7DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:07:14.349049Z","bundle_sha256":"5e9ab61d54128dacbbced49742d46f6c0978b81134451efe675b662f098fc37a"}}