{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7PCH3PFCCSU7SMYMLJLC4LBQMG","short_pith_number":"pith:7PCH3PFC","canonical_record":{"source":{"id":"1912.12307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2019-12-27T19:00:11Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ef519d97b1cb3b4f153b54b2c39f38eade5e4fbc95e0e0c1f3d7d964543569e4","abstract_canon_sha256":"e648f317336719ce9ee25d70dcf7a24ad295abd739ee9673d5944c498d8d6e0e"},"schema_version":"1.0"},"canonical_sha256":"fbc47dbca214a9f9330c5a562e2c3061997373034e6cffc03dc6fbdda89783bf","source":{"kind":"arxiv","id":"1912.12307","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.12307","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.12307v3","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.12307","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"7PCH3PFCCSU7","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_16","alias_value":"7PCH3PFCCSU7SMYM","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_8","alias_value":"7PCH3PFC","created_at":"2026-07-05T01:34:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7PCH3PFCCSU7SMYMLJLC4LBQMG","target":"record","payload":{"canonical_record":{"source":{"id":"1912.12307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2019-12-27T19:00:11Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ef519d97b1cb3b4f153b54b2c39f38eade5e4fbc95e0e0c1f3d7d964543569e4","abstract_canon_sha256":"e648f317336719ce9ee25d70dcf7a24ad295abd739ee9673d5944c498d8d6e0e"},"schema_version":"1.0"},"canonical_sha256":"fbc47dbca214a9f9330c5a562e2c3061997373034e6cffc03dc6fbdda89783bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:34:05.496666Z","signature_b64":"jYdgfBg88yLfuZMgLhoOgCuHAJ/36ZzJhb+nAminHDGwSD9fFZiRtkBIerH279esoihilaQUyO5YbJXrxhX2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbc47dbca214a9f9330c5a562e2c3061997373034e6cffc03dc6fbdda89783bf","last_reissued_at":"2026-07-05T01:34:05.496152Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:34:05.496152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.12307","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":"2026-07-05T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/XXT1DWoeoPBkUJwr2KahyLQPT8+lT6rqoJrHvx3dbLt+u6qtZRRYnXKRj/wAN5+kynOiLZsKdU9mZmhQpy0Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:38:26.063883Z"},"content_sha256":"914cdd8705ce0daf0e0f41115c575c779712a17157b77166468d78f7bd263029","schema_version":"1.0","event_id":"sha256:914cdd8705ce0daf0e0f41115c575c779712a17157b77166468d78f7bd263029"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7PCH3PFCCSU7SMYMLJLC4LBQMG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rigorous results on topological superconductivity with particle number conservation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.supr-con","authors_text":"Matthew F. Lapa, Michael Levin","submitted_at":"2019-12-27T19:00:11Z","abstract_excerpt":"Most theoretical studies of topological superconductors and Majorana-based quantum computation rely on a mean-field approach to describe superconductivity. A potential problem with this approach is that real superconductors are described by number-conserving Hamiltonians with long-range interactions, so their topological properties may not be correctly captured by mean-field models that violate number conservation and have short-range interactions. To resolve this issue, reliable results on number-conserving models of superconductivity are essential. As a first step in this direction, we use r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.12307","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1912.12307/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFgFqvmcqMZbCmzv5HgZCPqoQdytRcG3XmpaVctUosTHZxrSz8pitXusx+K8RkcSfEh7IXDWTaLQiP7yYeLQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:38:26.064831Z"},"content_sha256":"ea9873d163240af71391f7080231517edc2c3a2a9e02fd2900d00905d6502b7b","schema_version":"1.0","event_id":"sha256:ea9873d163240af71391f7080231517edc2c3a2a9e02fd2900d00905d6502b7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/bundle.json","state_url":"https://pith.science/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/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":"2026-08-04T12:38:26Z","links":{"resolver":"https://pith.science/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG","bundle":"https://pith.science/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/bundle.json","state":"https://pith.science/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PCH3PFCCSU7SMYMLJLC4LBQMG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7PCH3PFCCSU7SMYMLJLC4LBQMG","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":"e648f317336719ce9ee25d70dcf7a24ad295abd739ee9673d5944c498d8d6e0e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2019-12-27T19:00:11Z","title_canon_sha256":"ef519d97b1cb3b4f153b54b2c39f38eade5e4fbc95e0e0c1f3d7d964543569e4"},"schema_version":"1.0","source":{"id":"1912.12307","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.12307","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.12307v3","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.12307","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"7PCH3PFCCSU7","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_16","alias_value":"7PCH3PFCCSU7SMYM","created_at":"2026-07-05T01:34:05Z"},{"alias_kind":"pith_short_8","alias_value":"7PCH3PFC","created_at":"2026-07-05T01:34:05Z"}],"graph_snapshots":[{"event_id":"sha256:ea9873d163240af71391f7080231517edc2c3a2a9e02fd2900d00905d6502b7b","target":"graph","created_at":"2026-07-05T01:34:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.12307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Most theoretical studies of topological superconductors and Majorana-based quantum computation rely on a mean-field approach to describe superconductivity. A potential problem with this approach is that real superconductors are described by number-conserving Hamiltonians with long-range interactions, so their topological properties may not be correctly captured by mean-field models that violate number conservation and have short-range interactions. To resolve this issue, reliable results on number-conserving models of superconductivity are essential. As a first step in this direction, we use r","authors_text":"Matthew F. Lapa, Michael Levin","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2019-12-27T19:00:11Z","title":"Rigorous results on topological superconductivity with particle number conservation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.12307","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":"sha256:914cdd8705ce0daf0e0f41115c575c779712a17157b77166468d78f7bd263029","target":"record","created_at":"2026-07-05T01:34:05Z","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":"e648f317336719ce9ee25d70dcf7a24ad295abd739ee9673d5944c498d8d6e0e","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2019-12-27T19:00:11Z","title_canon_sha256":"ef519d97b1cb3b4f153b54b2c39f38eade5e4fbc95e0e0c1f3d7d964543569e4"},"schema_version":"1.0","source":{"id":"1912.12307","kind":"arxiv","version":3}},"canonical_sha256":"fbc47dbca214a9f9330c5a562e2c3061997373034e6cffc03dc6fbdda89783bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbc47dbca214a9f9330c5a562e2c3061997373034e6cffc03dc6fbdda89783bf","first_computed_at":"2026-07-05T01:34:05.496152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:34:05.496152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jYdgfBg88yLfuZMgLhoOgCuHAJ/36ZzJhb+nAminHDGwSD9fFZiRtkBIerH279esoihilaQUyO5YbJXrxhX2Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T01:34:05.496666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.12307","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:914cdd8705ce0daf0e0f41115c575c779712a17157b77166468d78f7bd263029","sha256:ea9873d163240af71391f7080231517edc2c3a2a9e02fd2900d00905d6502b7b"],"state_sha256":"ff300af60ffe633f1bc05e637464cdfb0387c2c0a228a1207d9fd56e0da1dd50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsyNxt0QmJVVY7irve5F+5KgCtghWXc6c0x3xT66p32MA6KKqLiMmpF8frls1zTJ6/ijTt7bZAuHMzG++p20BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:38:26.072582Z","bundle_sha256":"f4a4e0d43a99f4fc5f8db887e5ca91e29af78d02e5e0640c2414c13da491ceb3"}}