{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JMXWVHRGI4NZV3QHAZ756DDVGA","short_pith_number":"pith:JMXWVHRG","canonical_record":{"source":{"id":"1405.5440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-21T14:48:39Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"title_canon_sha256":"9a92cf0652b4025333da6f8ca5c8b4c5b236d268e65663ae973f03244c5ee7a1","abstract_canon_sha256":"800c3d8521840aec91210682700ca8ed7adca37f9a9b449220691dcb5a758904"},"schema_version":"1.0"},"canonical_sha256":"4b2f6a9e26471b9aee07067fdf0c75303c6f7cd9ccb571f9ac600e7151626bd6","source":{"kind":"arxiv","id":"1405.5440","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5440","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5440v2","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5440","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"JMXWVHRGI4NZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JMXWVHRGI4NZV3QH","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JMXWVHRG","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JMXWVHRGI4NZV3QHAZ756DDVGA","target":"record","payload":{"canonical_record":{"source":{"id":"1405.5440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-21T14:48:39Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"title_canon_sha256":"9a92cf0652b4025333da6f8ca5c8b4c5b236d268e65663ae973f03244c5ee7a1","abstract_canon_sha256":"800c3d8521840aec91210682700ca8ed7adca37f9a9b449220691dcb5a758904"},"schema_version":"1.0"},"canonical_sha256":"4b2f6a9e26471b9aee07067fdf0c75303c6f7cd9ccb571f9ac600e7151626bd6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:10.482740Z","signature_b64":"74ChAwABFbn551Homo1OREUkFM7UkbzO6n0foRUymNf3BjaQxyQZKWYe/hRUjiRf3eDbj/EFIrYPSZTSuEgVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b2f6a9e26471b9aee07067fdf0c75303c6f7cd9ccb571f9ac600e7151626bd6","last_reissued_at":"2026-05-18T02:40:10.482231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:10.482231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.5440","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7lSC3Uk+r2wyAn9VGm6ZIJQbpFVOUk2oFEEs+ZU5MBgtnMkUplTkM/DZy+FPfthbc+BoluRgaBunMifxHcbHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:38:41.126193Z"},"content_sha256":"ca3bf818c88b0a83997d403c9b807638341318ae32f68441c3b35a83d91f27c7","schema_version":"1.0","event_id":"sha256:ca3bf818c88b0a83997d403c9b807638341318ae32f68441c3b35a83d91f27c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JMXWVHRGI4NZV3QHAZ756DDVGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kitaev chains with long-range pairing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Alexey V. Gorshkov, Davide Vodola, Elisa Ercolessi, Guido Pupillo, Luca Lepori","submitted_at":"2014-05-21T14:48:39Z","abstract_excerpt":"We propose and analyze a generalization of the Kitaev chain for fermions with long-range $p$-wave pairing, which decays with distance as a power-law with exponent $\\alpha$. Using the integrability of the model, we demonstrate the existence of two types of gapped regimes, where correlation functions decay exponentially at short range and algebraically at long range ($\\alpha > 1$) or purely algebraically ($\\alpha < 1$). Most interestingly, along the critical lines, long-range pairing is found to break conformal symmetry for sufficiently small $\\alpha$. This is accompanied by a violation of the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5440","kind":"arxiv","version":2},"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":"2026-05-18T02:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R2Nfsmn3AWfbMUnZuNq5W+h+euT3EYfSu1XF3zyDqYNkVye6eQZVzSRYQqtMMUIVJFbjd5R/j4cDqv5iyjIYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:38:41.126868Z"},"content_sha256":"0335731b6ffa511fa9561b6bac3da697a0f094e18b3bea2c4679ee317e2255b4","schema_version":"1.0","event_id":"sha256:0335731b6ffa511fa9561b6bac3da697a0f094e18b3bea2c4679ee317e2255b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/bundle.json","state_url":"https://pith.science/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/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":"2026-05-26T00:38:41Z","links":{"resolver":"https://pith.science/pith/JMXWVHRGI4NZV3QHAZ756DDVGA","bundle":"https://pith.science/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/bundle.json","state":"https://pith.science/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JMXWVHRGI4NZV3QHAZ756DDVGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JMXWVHRGI4NZV3QHAZ756DDVGA","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":"800c3d8521840aec91210682700ca8ed7adca37f9a9b449220691dcb5a758904","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-21T14:48:39Z","title_canon_sha256":"9a92cf0652b4025333da6f8ca5c8b4c5b236d268e65663ae973f03244c5ee7a1"},"schema_version":"1.0","source":{"id":"1405.5440","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5440","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5440v2","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5440","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"JMXWVHRGI4NZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JMXWVHRGI4NZV3QH","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JMXWVHRG","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:0335731b6ffa511fa9561b6bac3da697a0f094e18b3bea2c4679ee317e2255b4","target":"graph","created_at":"2026-05-18T02:40:10Z","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 propose and analyze a generalization of the Kitaev chain for fermions with long-range $p$-wave pairing, which decays with distance as a power-law with exponent $\\alpha$. Using the integrability of the model, we demonstrate the existence of two types of gapped regimes, where correlation functions decay exponentially at short range and algebraically at long range ($\\alpha > 1$) or purely algebraically ($\\alpha < 1$). Most interestingly, along the critical lines, long-range pairing is found to break conformal symmetry for sufficiently small $\\alpha$. This is accompanied by a violation of the a","authors_text":"Alexey V. Gorshkov, Davide Vodola, Elisa Ercolessi, Guido Pupillo, Luca Lepori","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-21T14:48:39Z","title":"Kitaev chains with long-range pairing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5440","kind":"arxiv","version":2},"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:ca3bf818c88b0a83997d403c9b807638341318ae32f68441c3b35a83d91f27c7","target":"record","created_at":"2026-05-18T02:40:10Z","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":"800c3d8521840aec91210682700ca8ed7adca37f9a9b449220691dcb5a758904","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","cond-mat.supr-con","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-05-21T14:48:39Z","title_canon_sha256":"9a92cf0652b4025333da6f8ca5c8b4c5b236d268e65663ae973f03244c5ee7a1"},"schema_version":"1.0","source":{"id":"1405.5440","kind":"arxiv","version":2}},"canonical_sha256":"4b2f6a9e26471b9aee07067fdf0c75303c6f7cd9ccb571f9ac600e7151626bd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b2f6a9e26471b9aee07067fdf0c75303c6f7cd9ccb571f9ac600e7151626bd6","first_computed_at":"2026-05-18T02:40:10.482231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:10.482231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"74ChAwABFbn551Homo1OREUkFM7UkbzO6n0foRUymNf3BjaQxyQZKWYe/hRUjiRf3eDbj/EFIrYPSZTSuEgVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:10.482740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5440","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca3bf818c88b0a83997d403c9b807638341318ae32f68441c3b35a83d91f27c7","sha256:0335731b6ffa511fa9561b6bac3da697a0f094e18b3bea2c4679ee317e2255b4"],"state_sha256":"7e3b4fdf377bde27c196b650b4bee684a7c14bd7b01a3fd4019ca6b7e97a5ce2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3pxNGFlhxujXB5BD94J+huIwep5ymJGsdv0ETG7ClBdGn8RakjzVX8gmvZoLpmBsQW9bXmHtid2OvsdhswTFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:38:41.130702Z","bundle_sha256":"766c3b182c94550795cbb41ae06fb4d3e179f44a56e6a2872cebf36bc29d04fa"}}