{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GESOCB3XDDBB7264UZRNK3VSXB","short_pith_number":"pith:GESOCB3X","canonical_record":{"source":{"id":"1405.0408","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-02T14:08:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"fdac898d4f097fb6859a6a5452489801e79bccd468badd5e752fde1591c92250","abstract_canon_sha256":"b905c31a457c65c1186bcb74e79cb0a8a897361155fc97ff605e88e9cf3a5c3c"},"schema_version":"1.0"},"canonical_sha256":"3124e1077718c21febdca662d56eb2b85e11083855393ac9da5ebae9c1410c29","source":{"kind":"arxiv","id":"1405.0408","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0408","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0408v2","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0408","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"GESOCB3XDDBB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GESOCB3XDDBB7264","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GESOCB3X","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GESOCB3XDDBB7264UZRNK3VSXB","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0408","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-02T14:08:38Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"fdac898d4f097fb6859a6a5452489801e79bccd468badd5e752fde1591c92250","abstract_canon_sha256":"b905c31a457c65c1186bcb74e79cb0a8a897361155fc97ff605e88e9cf3a5c3c"},"schema_version":"1.0"},"canonical_sha256":"3124e1077718c21febdca662d56eb2b85e11083855393ac9da5ebae9c1410c29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:09.588016Z","signature_b64":"eLCVj4FwCT4dRxkdTtRLo7cfZKxR2tq7dhJm9Y+kNy6QIVNhQY7roUxaORK3Dt3JFul2EX3J0+Tn5s2m/OvzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3124e1077718c21febdca662d56eb2b85e11083855393ac9da5ebae9c1410c29","last_reissued_at":"2026-05-18T01:01:09.587293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:09.587293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0408","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vC06EB+jHd68K85xwCNTd3KmGykPli7bsPCfPmJCu5Uek1owfYZ/3R/88B9uv22riCQw+aFvab8IDZX1hnAwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:51:34.314972Z"},"content_sha256":"2a55a4f932a3f122ae106667dbdf0acb4b213290603f586ae5abaa5ad96701b0","schema_version":"1.0","event_id":"sha256:2a55a4f932a3f122ae106667dbdf0acb4b213290603f586ae5abaa5ad96701b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GESOCB3XDDBB7264UZRNK3VSXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantization of interface currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Carlos Villegas-Blas, Hermann Schulz-Baldes, Motoko Kotani","submitted_at":"2014-05-02T14:08:38Z","abstract_excerpt":"At the interface of two two-dimensional quantum systems, there may exist interface currents similar to edge currents in quantum Hall systems. It is proved that these interface currents are macroscopically quantized by an integer that is given by the difference of the Chern numbers of the two systems. It is also argued that at the interface between two time-reversal invariant systems with half-integer spin, one of which is trivial and the other non-trivial, there are dissipationless spin-polarized interface currents."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0408","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":"2026-05-18T01:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nbC8FIMGDQcr4gMmTZoaZsVW09zbXKm06aWj9/Vv/JT4Hs0d0wymMYWDk8tK4UNmNx+OS/zPwWVFrdLbo6PBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:51:34.315334Z"},"content_sha256":"39fa43113051f14b91afc4f3f468bae74dc73dd6bab2782dafaaf9426da2144a","schema_version":"1.0","event_id":"sha256:39fa43113051f14b91afc4f3f468bae74dc73dd6bab2782dafaaf9426da2144a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GESOCB3XDDBB7264UZRNK3VSXB/bundle.json","state_url":"https://pith.science/pith/GESOCB3XDDBB7264UZRNK3VSXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GESOCB3XDDBB7264UZRNK3VSXB/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":"2026-05-28T11:51:34Z","links":{"resolver":"https://pith.science/pith/GESOCB3XDDBB7264UZRNK3VSXB","bundle":"https://pith.science/pith/GESOCB3XDDBB7264UZRNK3VSXB/bundle.json","state":"https://pith.science/pith/GESOCB3XDDBB7264UZRNK3VSXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GESOCB3XDDBB7264UZRNK3VSXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GESOCB3XDDBB7264UZRNK3VSXB","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":"b905c31a457c65c1186bcb74e79cb0a8a897361155fc97ff605e88e9cf3a5c3c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-02T14:08:38Z","title_canon_sha256":"fdac898d4f097fb6859a6a5452489801e79bccd468badd5e752fde1591c92250"},"schema_version":"1.0","source":{"id":"1405.0408","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0408","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0408v2","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0408","created_at":"2026-05-18T01:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"GESOCB3XDDBB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GESOCB3XDDBB7264","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GESOCB3X","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:39fa43113051f14b91afc4f3f468bae74dc73dd6bab2782dafaaf9426da2144a","target":"graph","created_at":"2026-05-18T01:01:09Z","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"},"paper":{"abstract_excerpt":"At the interface of two two-dimensional quantum systems, there may exist interface currents similar to edge currents in quantum Hall systems. It is proved that these interface currents are macroscopically quantized by an integer that is given by the difference of the Chern numbers of the two systems. It is also argued that at the interface between two time-reversal invariant systems with half-integer spin, one of which is trivial and the other non-trivial, there are dissipationless spin-polarized interface currents.","authors_text":"Carlos Villegas-Blas, Hermann Schulz-Baldes, Motoko Kotani","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-02T14:08:38Z","title":"Quantization of interface currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0408","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":"sha256:2a55a4f932a3f122ae106667dbdf0acb4b213290603f586ae5abaa5ad96701b0","target":"record","created_at":"2026-05-18T01:01:09Z","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":"b905c31a457c65c1186bcb74e79cb0a8a897361155fc97ff605e88e9cf3a5c3c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-02T14:08:38Z","title_canon_sha256":"fdac898d4f097fb6859a6a5452489801e79bccd468badd5e752fde1591c92250"},"schema_version":"1.0","source":{"id":"1405.0408","kind":"arxiv","version":2}},"canonical_sha256":"3124e1077718c21febdca662d56eb2b85e11083855393ac9da5ebae9c1410c29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3124e1077718c21febdca662d56eb2b85e11083855393ac9da5ebae9c1410c29","first_computed_at":"2026-05-18T01:01:09.587293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:09.587293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eLCVj4FwCT4dRxkdTtRLo7cfZKxR2tq7dhJm9Y+kNy6QIVNhQY7roUxaORK3Dt3JFul2EX3J0+Tn5s2m/OvzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:09.588016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0408","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a55a4f932a3f122ae106667dbdf0acb4b213290603f586ae5abaa5ad96701b0","sha256:39fa43113051f14b91afc4f3f468bae74dc73dd6bab2782dafaaf9426da2144a"],"state_sha256":"c54470d5affe93f93cb4c48ca3871d421a07de4a8acaa6f5a6d1e7a9f1de36a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fKeT8UcPP+ZIL3NUupOmUj3MsE6TzBkzSO9p5Eq8CeaAFRdkwyEmfr89TrXQ0kSAfDeMiwySH3srfIvUTZhODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:51:34.317268Z","bundle_sha256":"9d1416e81dbd4e496345eb226d34a0747eaa8ea7ed313d1d542050c5ea79a226"}}