{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:EV6YWJITUB3PWVRMKMPKREHQYN","short_pith_number":"pith:EV6YWJIT","canonical_record":{"source":{"id":"cond-mat/0506581","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-06-22T19:17:46Z","cross_cats_sorted":[],"title_canon_sha256":"37fffc5736c60546b7c28851dbe4fb59285623f7cc07cbf118a4b691ff805b72","abstract_canon_sha256":"e1a4665e85d416678611eabfa4ec529e99c694ab5d22073f359c9f4cbec78c87"},"schema_version":"1.0"},"canonical_sha256":"257d8b2513a076fb562c531ea890f0c34549f6dd63407c3cbc6b4860e7bc1fd4","source":{"kind":"arxiv","id":"cond-mat/0506581","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0506581","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0506581v2","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0506581","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"EV6YWJITUB3P","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_16","alias_value":"EV6YWJITUB3PWVRM","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_8","alias_value":"EV6YWJIT","created_at":"2026-07-04T16:54:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:EV6YWJITUB3PWVRMKMPKREHQYN","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0506581","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-06-22T19:17:46Z","cross_cats_sorted":[],"title_canon_sha256":"37fffc5736c60546b7c28851dbe4fb59285623f7cc07cbf118a4b691ff805b72","abstract_canon_sha256":"e1a4665e85d416678611eabfa4ec529e99c694ab5d22073f359c9f4cbec78c87"},"schema_version":"1.0"},"canonical_sha256":"257d8b2513a076fb562c531ea890f0c34549f6dd63407c3cbc6b4860e7bc1fd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:54:09.779842Z","signature_b64":"2IDzEVJxXfwSamIjEzgu/C61BE9iP7wDgFH2AvzwgA7UkSPuWSrXwW83cyFW2xIo8f/6wW3gBfJXTJWwrbSZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"257d8b2513a076fb562c531ea890f0c34549f6dd63407c3cbc6b4860e7bc1fd4","last_reissued_at":"2026-07-04T16:54:09.779396Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:54:09.779396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0506581","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":"2026-07-04T16:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rsvp85po6qDwahyiIIDRhgYFIxNz/y9GUtG9d37xv8Z3eghBfHm8HshDILqEWIoGyjrq/tnkZHs5imY0NYzXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:35:21.908409Z"},"content_sha256":"bd5b6047acf069840b73618d6ef622ba71fd28758a17992ae6b38c89894bf8ab","schema_version":"1.0","event_id":"sha256:bd5b6047acf069840b73618d6ef622ba71fd28758a17992ae6b38c89894bf8ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:EV6YWJITUB3PWVRMKMPKREHQYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$Z_2$ Topological Order and the Quantum Spin Hall Effect","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"C.L. Kane, E.J. Mele","submitted_at":"2005-06-22T19:17:46Z","abstract_excerpt":"The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel $Z_2$ topological invariant, which distinguishes it from an ordinary insulator. The $Z_2$ classification, which is defined for time reversal invariant Hamiltonians, is analogous to the Chern number classification of the quantum Hall effect. We establish the $Z_2$ order of the QSH phase in the two band model of graphene and propose a generalization of the formalism"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0506581","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0506581/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":"2026-07-04T16:54:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qzq3/QAraXSXfqEX2YbZdx+8BtdBZ0hhdj5hnPmbKtR4lBlp+GaXLQzs7115+eEetuoZ68RT9BJefkMSFvLuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:35:21.908952Z"},"content_sha256":"c4cdc44726ec864a9cb282676df47d5ec040270ba1f592acac784e8eea472118","schema_version":"1.0","event_id":"sha256:c4cdc44726ec864a9cb282676df47d5ec040270ba1f592acac784e8eea472118"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EV6YWJITUB3PWVRMKMPKREHQYN/bundle.json","state_url":"https://pith.science/pith/EV6YWJITUB3PWVRMKMPKREHQYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EV6YWJITUB3PWVRMKMPKREHQYN/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":"2026-08-17T13:35:21Z","links":{"resolver":"https://pith.science/pith/EV6YWJITUB3PWVRMKMPKREHQYN","bundle":"https://pith.science/pith/EV6YWJITUB3PWVRMKMPKREHQYN/bundle.json","state":"https://pith.science/pith/EV6YWJITUB3PWVRMKMPKREHQYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EV6YWJITUB3PWVRMKMPKREHQYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EV6YWJITUB3PWVRMKMPKREHQYN","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":"e1a4665e85d416678611eabfa4ec529e99c694ab5d22073f359c9f4cbec78c87","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-06-22T19:17:46Z","title_canon_sha256":"37fffc5736c60546b7c28851dbe4fb59285623f7cc07cbf118a4b691ff805b72"},"schema_version":"1.0","source":{"id":"cond-mat/0506581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0506581","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0506581v2","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0506581","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"EV6YWJITUB3P","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_16","alias_value":"EV6YWJITUB3PWVRM","created_at":"2026-07-04T16:54:09Z"},{"alias_kind":"pith_short_8","alias_value":"EV6YWJIT","created_at":"2026-07-04T16:54:09Z"}],"graph_snapshots":[{"event_id":"sha256:c4cdc44726ec864a9cb282676df47d5ec040270ba1f592acac784e8eea472118","target":"graph","created_at":"2026-07-04T16:54:09Z","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/cond-mat/0506581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel $Z_2$ topological invariant, which distinguishes it from an ordinary insulator. The $Z_2$ classification, which is defined for time reversal invariant Hamiltonians, is analogous to the Chern number classification of the quantum Hall effect. We establish the $Z_2$ order of the QSH phase in the two band model of graphene and propose a generalization of the formalism","authors_text":"C.L. Kane, E.J. Mele","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-06-22T19:17:46Z","title":"$Z_2$ Topological Order and the Quantum Spin Hall Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0506581","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:bd5b6047acf069840b73618d6ef622ba71fd28758a17992ae6b38c89894bf8ab","target":"record","created_at":"2026-07-04T16:54:09Z","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":"e1a4665e85d416678611eabfa4ec529e99c694ab5d22073f359c9f4cbec78c87","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-06-22T19:17:46Z","title_canon_sha256":"37fffc5736c60546b7c28851dbe4fb59285623f7cc07cbf118a4b691ff805b72"},"schema_version":"1.0","source":{"id":"cond-mat/0506581","kind":"arxiv","version":2}},"canonical_sha256":"257d8b2513a076fb562c531ea890f0c34549f6dd63407c3cbc6b4860e7bc1fd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"257d8b2513a076fb562c531ea890f0c34549f6dd63407c3cbc6b4860e7bc1fd4","first_computed_at":"2026-07-04T16:54:09.779396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:54:09.779396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2IDzEVJxXfwSamIjEzgu/C61BE9iP7wDgFH2AvzwgA7UkSPuWSrXwW83cyFW2xIo8f/6wW3gBfJXTJWwrbSZAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:54:09.779842Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0506581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd5b6047acf069840b73618d6ef622ba71fd28758a17992ae6b38c89894bf8ab","sha256:c4cdc44726ec864a9cb282676df47d5ec040270ba1f592acac784e8eea472118"],"state_sha256":"2d8e4a7a76382eae548efd5f224e9d5b2eb0cc249adff565145290bde2258417"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmTF9jVNgCkwKYVBUTOA0t5WEG2UQKKQlKZ6FKWzh7HxGeAa6SiXVKn/Tewpgg60titWdEwsIeF4awQjkhzvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T13:35:21.913432Z","bundle_sha256":"c0a1bb9edb47d5953a90582238166008be6c4676d54eec0b9c8c8f00bf4ad9c8"}}