{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FHR25R7XWHXNNCSCIAYFHRPNSB","short_pith_number":"pith:FHR25R7X","canonical_record":{"source":{"id":"1109.6292","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-28T18:47:28Z","cross_cats_sorted":[],"title_canon_sha256":"83e97ad8053f86be19788ebc20bca49e93d1a85ae00db5fb1602958497299eae","abstract_canon_sha256":"50c233c0f5460103c7e6462f72bc7bccf155c860fb64482a1f14bf17cb3bfba0"},"schema_version":"1.0"},"canonical_sha256":"29e3aec7f7b1eed68a42403053c5ed90602e213b8a02c48f71422033c248b99f","source":{"kind":"arxiv","id":"1109.6292","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6292","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6292v2","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6292","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"FHR25R7XWHXN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FHR25R7XWHXNNCSC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FHR25R7X","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FHR25R7XWHXNNCSCIAYFHRPNSB","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6292","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-28T18:47:28Z","cross_cats_sorted":[],"title_canon_sha256":"83e97ad8053f86be19788ebc20bca49e93d1a85ae00db5fb1602958497299eae","abstract_canon_sha256":"50c233c0f5460103c7e6462f72bc7bccf155c860fb64482a1f14bf17cb3bfba0"},"schema_version":"1.0"},"canonical_sha256":"29e3aec7f7b1eed68a42403053c5ed90602e213b8a02c48f71422033c248b99f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:26.281197Z","signature_b64":"i12OIsXIorZ2lEUdWNPWVKeD7xwTq9QEdut5GVX2fa+y2v7Cm9EXFuYPfwSmEOXUSyxS2eHhGM9X0xquiPjCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29e3aec7f7b1eed68a42403053c5ed90602e213b8a02c48f71422033c248b99f","last_reissued_at":"2026-05-18T03:52:26.280625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:26.280625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6292","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":"2026-05-18T03:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHg/so23lRsAumd4KtRvrzl+HFGvrQiFgM4nqlAdoa29rnpkhrnHgRFHEleyncyEZcZqoNaiL6DjK9N2JuUfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:37:30.815799Z"},"content_sha256":"3c02e081c910b26efa4d1c7f4c87023936020b16a27f412d0f7dfd375e499a1b","schema_version":"1.0","event_id":"sha256:3c02e081c910b26efa4d1c7f4c87023936020b16a27f412d0f7dfd375e499a1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FHR25R7XWHXNNCSCIAYFHRPNSB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pole expansion of self-energy and interaction effect on topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hua Jiang, Lei Wang, X. C. Xie, Xi Dai","submitted_at":"2011-09-28T18:47:28Z","abstract_excerpt":"We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface states of an interacting system to an auxiliary noninteracting system, whose Hamiltonian is related to the pole-expansions of the local self-energy. This finding greatly simplifies the calculation of interacting topological indices and gives an noninteracting pictorial description of interaction driven topological phase transitions. Our results also bridge "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6292","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":"2026-05-18T03:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"48FwA31AgNdLQEpTpBSRSP/p0QymYajmDH1HUSoVT7NP0rDluL3RVMNfF8WIIjorGEXW46JZLKA+OJAGp0sVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:37:30.816229Z"},"content_sha256":"dd56ffeb4d2e4998e4fdc103cc3e58f8c342cdcfeacc78e5cd59f5a585c626ce","schema_version":"1.0","event_id":"sha256:dd56ffeb4d2e4998e4fdc103cc3e58f8c342cdcfeacc78e5cd59f5a585c626ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/bundle.json","state_url":"https://pith.science/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/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":"2026-06-05T01:37:30Z","links":{"resolver":"https://pith.science/pith/FHR25R7XWHXNNCSCIAYFHRPNSB","bundle":"https://pith.science/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/bundle.json","state":"https://pith.science/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FHR25R7XWHXNNCSCIAYFHRPNSB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FHR25R7XWHXNNCSCIAYFHRPNSB","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":"50c233c0f5460103c7e6462f72bc7bccf155c860fb64482a1f14bf17cb3bfba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-28T18:47:28Z","title_canon_sha256":"83e97ad8053f86be19788ebc20bca49e93d1a85ae00db5fb1602958497299eae"},"schema_version":"1.0","source":{"id":"1109.6292","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6292","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6292v2","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6292","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"FHR25R7XWHXN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FHR25R7XWHXNNCSC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FHR25R7X","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:dd56ffeb4d2e4998e4fdc103cc3e58f8c342cdcfeacc78e5cd59f5a585c626ce","target":"graph","created_at":"2026-05-18T03:52:26Z","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 study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface states of an interacting system to an auxiliary noninteracting system, whose Hamiltonian is related to the pole-expansions of the local self-energy. This finding greatly simplifies the calculation of interacting topological indices and gives an noninteracting pictorial description of interaction driven topological phase transitions. Our results also bridge ","authors_text":"Hua Jiang, Lei Wang, X. C. Xie, Xi Dai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-28T18:47:28Z","title":"Pole expansion of self-energy and interaction effect on topological insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6292","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":"sha256:3c02e081c910b26efa4d1c7f4c87023936020b16a27f412d0f7dfd375e499a1b","target":"record","created_at":"2026-05-18T03:52:26Z","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":"50c233c0f5460103c7e6462f72bc7bccf155c860fb64482a1f14bf17cb3bfba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-28T18:47:28Z","title_canon_sha256":"83e97ad8053f86be19788ebc20bca49e93d1a85ae00db5fb1602958497299eae"},"schema_version":"1.0","source":{"id":"1109.6292","kind":"arxiv","version":2}},"canonical_sha256":"29e3aec7f7b1eed68a42403053c5ed90602e213b8a02c48f71422033c248b99f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29e3aec7f7b1eed68a42403053c5ed90602e213b8a02c48f71422033c248b99f","first_computed_at":"2026-05-18T03:52:26.280625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:26.280625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i12OIsXIorZ2lEUdWNPWVKeD7xwTq9QEdut5GVX2fa+y2v7Cm9EXFuYPfwSmEOXUSyxS2eHhGM9X0xquiPjCDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:26.281197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6292","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c02e081c910b26efa4d1c7f4c87023936020b16a27f412d0f7dfd375e499a1b","sha256:dd56ffeb4d2e4998e4fdc103cc3e58f8c342cdcfeacc78e5cd59f5a585c626ce"],"state_sha256":"e929e895ba1527353685ee692a186f430bddb2742ebc2f4155021bf797d04795"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NbPOmz0gRstHudXHOOlM4zihzkN159XQhjC9YF4uDQ0VCiiGTeG/2UoQWotGOlVcx5/DKRYyl9cLDAdNfS0yDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:37:30.819292Z","bundle_sha256":"c921fc350ddc9c2c75fc185f4e3d5abf8e1f8f788c7ad4acd21d14759571f6af"}}