{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BZQSI3ZEORJSIO6O3EWR5GKT4P","short_pith_number":"pith:BZQSI3ZE","canonical_record":{"source":{"id":"1510.07816","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-27T09:06:03Z","cross_cats_sorted":[],"title_canon_sha256":"0a6b570b53dba6b0b9c7cf217c264660cd7c24d396dabfb60e5766537ffb4530","abstract_canon_sha256":"69e9306113c9cd41921cd98c558f26ab002feebac569debe02d5f2870c1a801a"},"schema_version":"1.0"},"canonical_sha256":"0e61246f247453243bced92d1e9953e3c0513b738dbc4be3fcc7bab2e1ca35c9","source":{"kind":"arxiv","id":"1510.07816","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07816","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07816v2","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07816","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"pith_short_12","alias_value":"BZQSI3ZEORJS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BZQSI3ZEORJSIO6O","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BZQSI3ZE","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BZQSI3ZEORJSIO6O3EWR5GKT4P","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07816","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-27T09:06:03Z","cross_cats_sorted":[],"title_canon_sha256":"0a6b570b53dba6b0b9c7cf217c264660cd7c24d396dabfb60e5766537ffb4530","abstract_canon_sha256":"69e9306113c9cd41921cd98c558f26ab002feebac569debe02d5f2870c1a801a"},"schema_version":"1.0"},"canonical_sha256":"0e61246f247453243bced92d1e9953e3c0513b738dbc4be3fcc7bab2e1ca35c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:49.568933Z","signature_b64":"qSJ75ZfzYu1fkes6MFWcmDNEPXJsIbawfhBNQ5Usq19bNJZJTpkppdrbTMWKKeEYxhM+QaKOUxliCdMWxVx7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e61246f247453243bced92d1e9953e3c0513b738dbc4be3fcc7bab2e1ca35c9","last_reissued_at":"2026-05-18T01:12:49.568595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:49.568595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07816","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":"2026-05-18T01:12:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6nUEtgQwwH75xUYP8q8DTuEOWcUdt91sUrCT+EJBeoKFH3GTvGMX7IeRFm7BSAvO5CaqA0f0clXqugy0nwz4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T13:56:52.760010Z"},"content_sha256":"47f7d519a299b79464c839b3a68f2403cc86932d450a619f169698d7695ed202","schema_version":"1.0","event_id":"sha256:47f7d519a299b79464c839b3a68f2403cc86932d450a619f169698d7695ed202"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BZQSI3ZEORJSIO6O3EWR5GKT4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Han-Qing Wu, Yuan-Yao He, Zhong-Yi Lu, Zi Yang Meng","submitted_at":"2015-10-27T09:06:03Z","abstract_excerpt":"The aim of this series of two papers is to discuss topological invariants for interacting topological insulators (TIs). In the first paper (I), we provide a paradigm of efficient numerical evaluation scheme for topological invariants, in which we demystify the procedures and techniques employed in calculating Z2 invariant and spin Chern number via zero-frequency single-particle Green's function in quantum Monte Carlo (QMC) simulations. Here we introduce a periodization process to overcome the ubiquitous finite-size effect, so that the calculated spin Chern number shows ideally quantized values"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07816","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":"2026-05-18T01:12:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WD0fgRsuBjv6V2hnyonQfYVwTJQHzLJQ1eNvGd97iggnFdyL2WJz3G0MqXsxUAIoq5bY1t3KkUVdXcJIqG3aDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T13:56:52.760362Z"},"content_sha256":"3c1867520ef7ec8cd65d76a6a2c438cf23ef775d7a129db7f58834ee26303e80","schema_version":"1.0","event_id":"sha256:3c1867520ef7ec8cd65d76a6a2c438cf23ef775d7a129db7f58834ee26303e80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/bundle.json","state_url":"https://pith.science/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/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":"2026-06-03T13:56:52Z","links":{"resolver":"https://pith.science/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P","bundle":"https://pith.science/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/bundle.json","state":"https://pith.science/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BZQSI3ZEORJSIO6O3EWR5GKT4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BZQSI3ZEORJSIO6O3EWR5GKT4P","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":"69e9306113c9cd41921cd98c558f26ab002feebac569debe02d5f2870c1a801a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-27T09:06:03Z","title_canon_sha256":"0a6b570b53dba6b0b9c7cf217c264660cd7c24d396dabfb60e5766537ffb4530"},"schema_version":"1.0","source":{"id":"1510.07816","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07816","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07816v2","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07816","created_at":"2026-05-18T01:12:49Z"},{"alias_kind":"pith_short_12","alias_value":"BZQSI3ZEORJS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BZQSI3ZEORJSIO6O","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BZQSI3ZE","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:3c1867520ef7ec8cd65d76a6a2c438cf23ef775d7a129db7f58834ee26303e80","target":"graph","created_at":"2026-05-18T01:12:49Z","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 aim of this series of two papers is to discuss topological invariants for interacting topological insulators (TIs). In the first paper (I), we provide a paradigm of efficient numerical evaluation scheme for topological invariants, in which we demystify the procedures and techniques employed in calculating Z2 invariant and spin Chern number via zero-frequency single-particle Green's function in quantum Monte Carlo (QMC) simulations. Here we introduce a periodization process to overcome the ubiquitous finite-size effect, so that the calculated spin Chern number shows ideally quantized values","authors_text":"Han-Qing Wu, Yuan-Yao He, Zhong-Yi Lu, Zi Yang Meng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-27T09:06:03Z","title":"Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07816","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":"sha256:47f7d519a299b79464c839b3a68f2403cc86932d450a619f169698d7695ed202","target":"record","created_at":"2026-05-18T01:12:49Z","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":"69e9306113c9cd41921cd98c558f26ab002feebac569debe02d5f2870c1a801a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-10-27T09:06:03Z","title_canon_sha256":"0a6b570b53dba6b0b9c7cf217c264660cd7c24d396dabfb60e5766537ffb4530"},"schema_version":"1.0","source":{"id":"1510.07816","kind":"arxiv","version":2}},"canonical_sha256":"0e61246f247453243bced92d1e9953e3c0513b738dbc4be3fcc7bab2e1ca35c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e61246f247453243bced92d1e9953e3c0513b738dbc4be3fcc7bab2e1ca35c9","first_computed_at":"2026-05-18T01:12:49.568595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:49.568595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qSJ75ZfzYu1fkes6MFWcmDNEPXJsIbawfhBNQ5Usq19bNJZJTpkppdrbTMWKKeEYxhM+QaKOUxliCdMWxVx7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:49.568933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07816","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47f7d519a299b79464c839b3a68f2403cc86932d450a619f169698d7695ed202","sha256:3c1867520ef7ec8cd65d76a6a2c438cf23ef775d7a129db7f58834ee26303e80"],"state_sha256":"5727d4bc2b1dc40f55e5541fd66281e32e61a4367d29bfc3b4512c480e3183c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"quu5U3PMMaVTtfkR1hTjp/VYK4H2zNC5wzWsAmSiJ6/84szyjttjpDoMQGKIhQaVomBLKbKvkOv6uZuVWEd/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T13:56:52.762276Z","bundle_sha256":"53c2e732d97061fe6e0008dd7d430a9c42f397faa415628c7769eac49adc8d5a"}}