{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DKL3NNZXBMZPVPH2DBYYDUWKLS","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":"b026327a17caafd07cc5e63ea639fe44352fd95fa78f34e03d3fcf6430d37cdf","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-11T13:24:17Z","title_canon_sha256":"27535cd7ebce226648c14632d7b62b2a4e3b1aba99a7b20c76c236af24f0c45a"},"schema_version":"1.0","source":{"id":"1705.04162","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04162","created_at":"2026-05-17T23:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04162v3","created_at":"2026-05-17T23:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04162","created_at":"2026-05-17T23:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"DKL3NNZXBMZP","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DKL3NNZXBMZPVPH2","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DKL3NNZX","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:961c32e4f42cde4ca909b7fee8af9fcafeb800a8144e4021aff050fc026a1a1c","target":"graph","created_at":"2026-05-17T23:59:39Z","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":"Inserting a magnetic flux into a two-dimensional one-particle Hamiltonian leads to a spectral flow through a given gap which is equal to the Chern number of the associated Fermi projection. This paper establishes a generalization to higher even dimension by inserting non-abelian monopoles of the Wu-Yang type. The associated spectral flow is then equal to a higher Chern number. For the study of odd spacial dimensions, a new so-called `chirality flow' is introduced which, for the insertion of a monopole, is then linked to higher winding numbers. This latter fact follows from a new index theorem ","authors_text":"Alan L. Carey, Hermann Schulz-Baldes","cross_cats":["cond-mat.other","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-11T13:24:17Z","title":"Spectral flow of monopole insertion in topological insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04162","kind":"arxiv","version":3},"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":"sha256:18bfc7489f01031561ec181069c67129ea244c83c8aae4feba87bc848d868de1","target":"record","created_at":"2026-05-17T23:59:39Z","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":"b026327a17caafd07cc5e63ea639fe44352fd95fa78f34e03d3fcf6430d37cdf","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-11T13:24:17Z","title_canon_sha256":"27535cd7ebce226648c14632d7b62b2a4e3b1aba99a7b20c76c236af24f0c45a"},"schema_version":"1.0","source":{"id":"1705.04162","kind":"arxiv","version":3}},"canonical_sha256":"1a97b6b7370b32fabcfa187181d2ca5ca4e44c5663be1352cbb5dd9dbdefc7b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a97b6b7370b32fabcfa187181d2ca5ca4e44c5663be1352cbb5dd9dbdefc7b5","first_computed_at":"2026-05-17T23:59:39.706055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:39.706055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9SdQTMMlCyAxgC/Mlo9lklMpl32C6L8dYe9pCkb5zRTP5H+eU42c00Cmkyx322RJyp7wMLUyeKDKXXjaZO9RBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:39.706752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04162","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18bfc7489f01031561ec181069c67129ea244c83c8aae4feba87bc848d868de1","sha256:961c32e4f42cde4ca909b7fee8af9fcafeb800a8144e4021aff050fc026a1a1c"],"state_sha256":"965c41a506a4fc96b21b761ba4271d97204747db87c464f1e6d53cf5502c6363"}