{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3PIT45HMFEYGW5M2VNGT2ITAGT","short_pith_number":"pith:3PIT45HM","canonical_record":{"source":{"id":"1006.0690","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-06-03T16:38:30Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"e2205c2d693867f3f03e98c85c9ccc17c6d809c5fdbebf9ac47b4a1751e39579","abstract_canon_sha256":"53bd388dc2f63dd845079abd1b38c1dbe6aa6002f482cc9990476fae6272c5fa"},"schema_version":"1.0"},"canonical_sha256":"dbd13e74ec29306b759aab4d3d226034f38b8cbe38773d5312dce026b5324a4b","source":{"kind":"arxiv","id":"1006.0690","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0690","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0690v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0690","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"3PIT45HMFEYG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3PIT45HMFEYGW5M2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3PIT45HM","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3PIT45HMFEYGW5M2VNGT2ITAGT","target":"record","payload":{"canonical_record":{"source":{"id":"1006.0690","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-06-03T16:38:30Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"e2205c2d693867f3f03e98c85c9ccc17c6d809c5fdbebf9ac47b4a1751e39579","abstract_canon_sha256":"53bd388dc2f63dd845079abd1b38c1dbe6aa6002f482cc9990476fae6272c5fa"},"schema_version":"1.0"},"canonical_sha256":"dbd13e74ec29306b759aab4d3d226034f38b8cbe38773d5312dce026b5324a4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:56.832243Z","signature_b64":"FYKOZ1r7GAAmlmk8ph8HkI8FoNaScC7r4Q14ge7zB7715+47NcTwfVG4ELN+0lo5LDzzkdK5AT9eyWFyPCUmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbd13e74ec29306b759aab4d3d226034f38b8cbe38773d5312dce026b5324a4b","last_reissued_at":"2026-05-18T04:27:56.831558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:56.831558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.0690","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":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBSLU1CldTGsrXJpcwF2ybMxBWDBn/+E/u2xoYORDQ7822lEjfNmIYrdJfMFS5kLXfbqWMbBhZPbXyk2xcUeAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:32:47.599399Z"},"content_sha256":"82d7c1f1fb702a44d1d9f24e36f0294cd14105a3bcf4aeb07aeffa2a2514dff5","schema_version":"1.0","event_id":"sha256:82d7c1f1fb702a44d1d9f24e36f0294cd14105a3bcf4aeb07aeffa2a2514dff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3PIT45HMFEYGW5M2VNGT2ITAGT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Defects and Gapless Modes in Insulators and Superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.mes-hall","authors_text":"C.L. Kane, Jeffrey C.Y. Teo","submitted_at":"2010-06-03T16:38:30Z","abstract_excerpt":"We develop a unified framework to classify topological defects in insulators and superconductors described by spatially modulated Bloch and Bogoliubov de Gennes Hamiltonians. We consider Hamiltonians H(k,r) that vary slowly with adiabatic parameters r surrounding the defect and belong to any of the ten symmetry classes defined by time reversal symmetry and particle-hole symmetry. The topological classes for such defects are identified, and explicit formulas for the topological invariants are presented. We introduce a generalization of the bulk-boundary correspondence that relates the topologic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0690","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":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nPrjJFw2fQkNl2GjwYERWKbG+BNY1fCeZpHaFvX39qYCvjh4wRziTaAaWvNYOaU56a1T7qjZv9ugg+bKZDieCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:32:47.599744Z"},"content_sha256":"70838d7802ea3f6e9c145fe7aabab4ff39991a1fb25d59aa85320c7b721d210e","schema_version":"1.0","event_id":"sha256:70838d7802ea3f6e9c145fe7aabab4ff39991a1fb25d59aa85320c7b721d210e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/bundle.json","state_url":"https://pith.science/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/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":"2026-06-03T01:32:47Z","links":{"resolver":"https://pith.science/pith/3PIT45HMFEYGW5M2VNGT2ITAGT","bundle":"https://pith.science/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/bundle.json","state":"https://pith.science/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PIT45HMFEYGW5M2VNGT2ITAGT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3PIT45HMFEYGW5M2VNGT2ITAGT","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":"53bd388dc2f63dd845079abd1b38c1dbe6aa6002f482cc9990476fae6272c5fa","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-06-03T16:38:30Z","title_canon_sha256":"e2205c2d693867f3f03e98c85c9ccc17c6d809c5fdbebf9ac47b4a1751e39579"},"schema_version":"1.0","source":{"id":"1006.0690","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0690","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0690v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0690","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"3PIT45HMFEYG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3PIT45HMFEYGW5M2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3PIT45HM","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:70838d7802ea3f6e9c145fe7aabab4ff39991a1fb25d59aa85320c7b721d210e","target":"graph","created_at":"2026-05-18T04:27:56Z","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 develop a unified framework to classify topological defects in insulators and superconductors described by spatially modulated Bloch and Bogoliubov de Gennes Hamiltonians. We consider Hamiltonians H(k,r) that vary slowly with adiabatic parameters r surrounding the defect and belong to any of the ten symmetry classes defined by time reversal symmetry and particle-hole symmetry. The topological classes for such defects are identified, and explicit formulas for the topological invariants are presented. We introduce a generalization of the bulk-boundary correspondence that relates the topologic","authors_text":"C.L. Kane, Jeffrey C.Y. Teo","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-06-03T16:38:30Z","title":"Topological Defects and Gapless Modes in Insulators and Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0690","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":"sha256:82d7c1f1fb702a44d1d9f24e36f0294cd14105a3bcf4aeb07aeffa2a2514dff5","target":"record","created_at":"2026-05-18T04:27:56Z","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":"53bd388dc2f63dd845079abd1b38c1dbe6aa6002f482cc9990476fae6272c5fa","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-06-03T16:38:30Z","title_canon_sha256":"e2205c2d693867f3f03e98c85c9ccc17c6d809c5fdbebf9ac47b4a1751e39579"},"schema_version":"1.0","source":{"id":"1006.0690","kind":"arxiv","version":2}},"canonical_sha256":"dbd13e74ec29306b759aab4d3d226034f38b8cbe38773d5312dce026b5324a4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbd13e74ec29306b759aab4d3d226034f38b8cbe38773d5312dce026b5324a4b","first_computed_at":"2026-05-18T04:27:56.831558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:56.831558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FYKOZ1r7GAAmlmk8ph8HkI8FoNaScC7r4Q14ge7zB7715+47NcTwfVG4ELN+0lo5LDzzkdK5AT9eyWFyPCUmCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:56.832243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0690","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82d7c1f1fb702a44d1d9f24e36f0294cd14105a3bcf4aeb07aeffa2a2514dff5","sha256:70838d7802ea3f6e9c145fe7aabab4ff39991a1fb25d59aa85320c7b721d210e"],"state_sha256":"d51b2448910accf6c175a7351e5a31b5c0019af0404f928794f40a48d65715a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XMraI2zg4c7lX6hFwMxeHZi2eb4ivuiINeJKi+T/Tj8l2AP8eUQpMyplQJLWovW8CvW0XcCe0/O9eSYvTsHUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T01:32:47.601694Z","bundle_sha256":"dad02bcab0ae645ee84b79c8a73b3b346de495da59430248be35c54f521a3304"}}