{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FM25BMJQ34MLZM3ZW6CG3JH3TL","short_pith_number":"pith:FM25BMJQ","canonical_record":{"source":{"id":"1804.03790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-11T02:45:26Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"3eebcc8caf3d69d12ce947fd5b396a504663a5ed223be7f5f1671c95678a89ce","abstract_canon_sha256":"70fb8a721c7d8c930be2d18d74c82fd527700aa3285f26deab4af0ba4b4c61d2"},"schema_version":"1.0"},"canonical_sha256":"2b35d0b130df18bcb379b7846da4fb9adf553c643f0037dfdcd4b813f0339997","source":{"kind":"arxiv","id":"1804.03790","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03790","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03790v1","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03790","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"FM25BMJQ34ML","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FM25BMJQ34MLZM3Z","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FM25BMJQ","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FM25BMJQ34MLZM3ZW6CG3JH3TL","target":"record","payload":{"canonical_record":{"source":{"id":"1804.03790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-11T02:45:26Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"3eebcc8caf3d69d12ce947fd5b396a504663a5ed223be7f5f1671c95678a89ce","abstract_canon_sha256":"70fb8a721c7d8c930be2d18d74c82fd527700aa3285f26deab4af0ba4b4c61d2"},"schema_version":"1.0"},"canonical_sha256":"2b35d0b130df18bcb379b7846da4fb9adf553c643f0037dfdcd4b813f0339997","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:34.261793Z","signature_b64":"uWpTsQ2FV49Tvt8HKKnnAZ9eMvoKVXpz9HyuSnQU0VeJ66jnQPB+fzYJDHirjM31xqiCQu68W3Fup147HADUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b35d0b130df18bcb379b7846da4fb9adf553c643f0037dfdcd4b813f0339997","last_reissued_at":"2026-05-17T23:48:34.261328Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:34.261328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.03790","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":"2026-05-17T23:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KR0mGGx5tAmxqqqIrzZaWlJ56xOvYq/DRnx0qy9CJcZVcnXmGJqXTCFhj6NWqLAj3sXIZkKXHBmcd1CGHuNbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:36:36.258803Z"},"content_sha256":"a4d4c80b6a1896c41639285669c64279352395b8c28dc140a24a7a8625c795b8","schema_version":"1.0","event_id":"sha256:a4d4c80b6a1896c41639285669c64279352395b8c28dc140a24a7a8625c795b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FM25BMJQ34MLZM3ZW6CG3JH3TL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum phase transition without gap opening","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"G. Zhang, X. M. Yang, Z. Song","submitted_at":"2018-04-11T02:45:26Z","abstract_excerpt":"Quantum phase transitions (QPTs), including symmetry breaking and topological types, always associated with gap closing and opening. We analyze the topological features of the quantum phase boundary of the XY model in a transverse magnetic field. Based on the results from graphs in the auxiliary space, we find that gapless ground states at boundary have different topological characters. On the other hand, In the framework of Majorana representation, the Majorana lattice is shown to be two coupled SSH chains. The analysis of the quantum fidelity for the Majorana eigen vector indicates the signa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03790","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":"2026-05-17T23:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Goohklt4SPfa8BRwnZatRdg6Ig5nlhwMqGaNTqUJh5mbDKQlw/A2Lm1K6pcmt6eGICntZgO5GV33Lk5R8QHoAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:36:36.259146Z"},"content_sha256":"056d77052645932896a81c3ad17f9a39e8c2b65ae42ebaa245754c0aac937fa8","schema_version":"1.0","event_id":"sha256:056d77052645932896a81c3ad17f9a39e8c2b65ae42ebaa245754c0aac937fa8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/bundle.json","state_url":"https://pith.science/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/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":"2026-06-20T05:36:36Z","links":{"resolver":"https://pith.science/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL","bundle":"https://pith.science/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/bundle.json","state":"https://pith.science/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FM25BMJQ34MLZM3ZW6CG3JH3TL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FM25BMJQ34MLZM3ZW6CG3JH3TL","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":"70fb8a721c7d8c930be2d18d74c82fd527700aa3285f26deab4af0ba4b4c61d2","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-11T02:45:26Z","title_canon_sha256":"3eebcc8caf3d69d12ce947fd5b396a504663a5ed223be7f5f1671c95678a89ce"},"schema_version":"1.0","source":{"id":"1804.03790","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03790","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03790v1","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03790","created_at":"2026-05-17T23:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"FM25BMJQ34ML","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FM25BMJQ34MLZM3Z","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FM25BMJQ","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:056d77052645932896a81c3ad17f9a39e8c2b65ae42ebaa245754c0aac937fa8","target":"graph","created_at":"2026-05-17T23:48:34Z","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":"Quantum phase transitions (QPTs), including symmetry breaking and topological types, always associated with gap closing and opening. We analyze the topological features of the quantum phase boundary of the XY model in a transverse magnetic field. Based on the results from graphs in the auxiliary space, we find that gapless ground states at boundary have different topological characters. On the other hand, In the framework of Majorana representation, the Majorana lattice is shown to be two coupled SSH chains. The analysis of the quantum fidelity for the Majorana eigen vector indicates the signa","authors_text":"G. Zhang, X. M. Yang, Z. Song","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-11T02:45:26Z","title":"Quantum phase transition without gap opening"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03790","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:a4d4c80b6a1896c41639285669c64279352395b8c28dc140a24a7a8625c795b8","target":"record","created_at":"2026-05-17T23:48:34Z","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":"70fb8a721c7d8c930be2d18d74c82fd527700aa3285f26deab4af0ba4b4c61d2","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-11T02:45:26Z","title_canon_sha256":"3eebcc8caf3d69d12ce947fd5b396a504663a5ed223be7f5f1671c95678a89ce"},"schema_version":"1.0","source":{"id":"1804.03790","kind":"arxiv","version":1}},"canonical_sha256":"2b35d0b130df18bcb379b7846da4fb9adf553c643f0037dfdcd4b813f0339997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b35d0b130df18bcb379b7846da4fb9adf553c643f0037dfdcd4b813f0339997","first_computed_at":"2026-05-17T23:48:34.261328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:34.261328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uWpTsQ2FV49Tvt8HKKnnAZ9eMvoKVXpz9HyuSnQU0VeJ66jnQPB+fzYJDHirjM31xqiCQu68W3Fup147HADUCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:34.261793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03790","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4d4c80b6a1896c41639285669c64279352395b8c28dc140a24a7a8625c795b8","sha256:056d77052645932896a81c3ad17f9a39e8c2b65ae42ebaa245754c0aac937fa8"],"state_sha256":"8d3f11f4e83b1da361186e537010c30276d197c65f735b9c2b3d256f7cdb0965"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFiUBP73uoBAq09miPOY/ykbjsYXaJUPBWCuv94CQdbSZGSI5L/rZMf23gmebHNDtax9P0lXifX0xry1ZqD9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T05:36:36.261124Z","bundle_sha256":"0a277f62be050c2801c60c7d05938355cb73422edf2333157f767201eaeebe3c"}}