{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QH7J6J53I3XJKMNJ4XPV64UREW","short_pith_number":"pith:QH7J6J53","schema_version":"1.0","canonical_sha256":"81fe9f27bb46ee9531a9e5df5f729125a03d4d80dc091028e8d13e1616316189","source":{"kind":"arxiv","id":"1508.06793","version":3},"attestation_state":"computed","paper":{"title":"K-theoretic invariants of Hamiltonian fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AT","math.DG","math.KT","math.MP"],"primary_cat":"math.SG","authors_text":"Egor Shelukhin, Yasha Savelyev","submitted_at":"2015-08-27T10:20:03Z","abstract_excerpt":"We introduce new invariants of Hamiltonian fibrations with values in the suitably twisted K-theory of the base. Inspired by techniques of geometric quantization, our invariants arise from the family analytic index of a family of natural $Spin^c$-Dirac operators. As an application we give new examples of non-trivial Hamiltonian fibrations, that have not been previously detected by other methods. As one crucial ingredient we construct a potentially new homotopy equivalence map, with a certain naturality property, from $BU$ to the space of index $0$ Fredholm operators on a Hilbert space, using el"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1508.06793","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-08-27T10:20:03Z","cross_cats_sorted":["math-ph","math.AT","math.DG","math.KT","math.MP"],"title_canon_sha256":"d0d1ca1ed2ac4dc38f52570eb09cfa5bb053190657e7c6ba843cb17245f3e90f","abstract_canon_sha256":"12a8f4a31ed6a6b36daee92048a492066c4824bb3d514790ebeca1e17e3f1f45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:04.190451Z","signature_b64":"ajAJyvsuN/w2Pl//ogZgIV1D+pG52y2qip64fvUiyV2RNOx4CD/toPCNu2ngPaTWYBcY2jNKoregIwk53ni8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81fe9f27bb46ee9531a9e5df5f729125a03d4d80dc091028e8d13e1616316189","last_reissued_at":"2026-05-17T23:56:04.189838Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:04.189838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-theoretic invariants of Hamiltonian fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AT","math.DG","math.KT","math.MP"],"primary_cat":"math.SG","authors_text":"Egor Shelukhin, Yasha Savelyev","submitted_at":"2015-08-27T10:20:03Z","abstract_excerpt":"We introduce new invariants of Hamiltonian fibrations with values in the suitably twisted K-theory of the base. Inspired by techniques of geometric quantization, our invariants arise from the family analytic index of a family of natural $Spin^c$-Dirac operators. As an application we give new examples of non-trivial Hamiltonian fibrations, that have not been previously detected by other methods. As one crucial ingredient we construct a potentially new homotopy equivalence map, with a certain naturality property, from $BU$ to the space of index $0$ Fredholm operators on a Hilbert space, using el"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06793","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.06793","created_at":"2026-05-17T23:56:04.189922+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06793v3","created_at":"2026-05-17T23:56:04.189922+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06793","created_at":"2026-05-17T23:56:04.189922+00:00"},{"alias_kind":"pith_short_12","alias_value":"QH7J6J53I3XJ","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"QH7J6J53I3XJKMNJ","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"QH7J6J53","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW","json":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW.json","graph_json":"https://pith.science/api/pith-number/QH7J6J53I3XJKMNJ4XPV64UREW/graph.json","events_json":"https://pith.science/api/pith-number/QH7J6J53I3XJKMNJ4XPV64UREW/events.json","paper":"https://pith.science/paper/QH7J6J53"},"agent_actions":{"view_html":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW","download_json":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW.json","view_paper":"https://pith.science/paper/QH7J6J53","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06793&json=true","fetch_graph":"https://pith.science/api/pith-number/QH7J6J53I3XJKMNJ4XPV64UREW/graph.json","fetch_events":"https://pith.science/api/pith-number/QH7J6J53I3XJKMNJ4XPV64UREW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW/action/storage_attestation","attest_author":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW/action/author_attestation","sign_citation":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW/action/citation_signature","submit_replication":"https://pith.science/pith/QH7J6J53I3XJKMNJ4XPV64UREW/action/replication_record"}},"created_at":"2026-05-17T23:56:04.189922+00:00","updated_at":"2026-05-17T23:56:04.189922+00:00"}