{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Y3PDTX7TYTXFT4DJ4HLW5ODH46","short_pith_number":"pith:Y3PDTX7T","schema_version":"1.0","canonical_sha256":"c6de39dff3c4ee59f069e1d76eb867e785d67b50e34f2524400f6df2aded76f5","source":{"kind":"arxiv","id":"1003.5364","version":2},"attestation_state":"computed","paper":{"title":"The Dirac operator on generalized Taub-NUT spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Andrei Moroianu, Sergiu Moroianu","submitted_at":"2010-03-28T12:24:16Z","abstract_excerpt":"We find sufficient conditions for the absence of harmonic $L^2$ spinors on spin manifolds constructed as cone bundles over a compact K\\\"ahler base. These conditions are fulfilled for certain perturbations of the Euclidean metric, and also for the generalized Taub-NUT metrics of Iwai-Katayama, thus proving a conjecture of Vi\\csinescu and the second author."},"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":"1003.5364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-28T12:24:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5062afc425bc49a41067d22003743108608627468aaca83b187b0b989a2f20e4","abstract_canon_sha256":"8abdce9747b5f8f8bfd438074ef53a6c007e344c256f51fa51d9d85ec7807411"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:56.557040Z","signature_b64":"zXc3xw86pOJNIbhDV1EwXa2dPs1auZNUiC5rh0oGaPH3uoM/epT29F+dPvLg+RF32ctWaUdStCS1qU9xPFVVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6de39dff3c4ee59f069e1d76eb867e785d67b50e34f2524400f6df2aded76f5","last_reissued_at":"2026-05-17T23:56:56.556505Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:56.556505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Dirac operator on generalized Taub-NUT spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Andrei Moroianu, Sergiu Moroianu","submitted_at":"2010-03-28T12:24:16Z","abstract_excerpt":"We find sufficient conditions for the absence of harmonic $L^2$ spinors on spin manifolds constructed as cone bundles over a compact K\\\"ahler base. These conditions are fulfilled for certain perturbations of the Euclidean metric, and also for the generalized Taub-NUT metrics of Iwai-Katayama, thus proving a conjecture of Vi\\csinescu and the second author."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5364","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1003.5364","created_at":"2026-05-17T23:56:56.556606+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.5364v2","created_at":"2026-05-17T23:56:56.556606+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5364","created_at":"2026-05-17T23:56:56.556606+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3PDTX7TYTXF","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3PDTX7TYTXFT4DJ","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3PDTX7T","created_at":"2026-05-18T12:26:17.028572+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/Y3PDTX7TYTXFT4DJ4HLW5ODH46","json":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46.json","graph_json":"https://pith.science/api/pith-number/Y3PDTX7TYTXFT4DJ4HLW5ODH46/graph.json","events_json":"https://pith.science/api/pith-number/Y3PDTX7TYTXFT4DJ4HLW5ODH46/events.json","paper":"https://pith.science/paper/Y3PDTX7T"},"agent_actions":{"view_html":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46","download_json":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46.json","view_paper":"https://pith.science/paper/Y3PDTX7T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.5364&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3PDTX7TYTXFT4DJ4HLW5ODH46/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3PDTX7TYTXFT4DJ4HLW5ODH46/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46/action/storage_attestation","attest_author":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46/action/author_attestation","sign_citation":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46/action/citation_signature","submit_replication":"https://pith.science/pith/Y3PDTX7TYTXFT4DJ4HLW5ODH46/action/replication_record"}},"created_at":"2026-05-17T23:56:56.556606+00:00","updated_at":"2026-05-17T23:56:56.556606+00:00"}