{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:C5WHWOOXPFFAO2YMG6IBGQINZY","short_pith_number":"pith:C5WHWOOX","schema_version":"1.0","canonical_sha256":"176c7b39d7794a076b0c379013410dce3080b62c59e05af94bdcd7339b3c4b5a","source":{"kind":"arxiv","id":"1108.1056","version":2},"attestation_state":"computed","paper":{"title":"Dirac-operators and symmetries of quasitoric manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Michael Wiemeler","submitted_at":"2011-08-04T12:12:24Z","abstract_excerpt":"We establish a vanishing result for indices of certain twisted Dirac operators on $\\text{Spin}^c$-manifolds with non-abelian Lie-group actions. We apply this result to study non-abelian symmetries of quasitoric manifolds. We give upper bounds for the degree of symmetry of these manifolds."},"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":"1108.1056","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-04T12:12:24Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"1d0fbddf59cb34b3219afa8dd5b7463f73739d0b589a6598024493791812a7d6","abstract_canon_sha256":"d3edadadd4a260191cd1e582e0a05cf7b903425eb068d5b3777726414834fc69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:50.454438Z","signature_b64":"OZAmASusYGaawIOhtqbiqn39M07O+XltUhh3VjvoEUsde+sXl1AesYI1NH/0GelpKEiSqSIXe+m8hwEjzWeYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"176c7b39d7794a076b0c379013410dce3080b62c59e05af94bdcd7339b3c4b5a","last_reissued_at":"2026-05-18T02:41:50.453952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:50.453952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirac-operators and symmetries of quasitoric manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Michael Wiemeler","submitted_at":"2011-08-04T12:12:24Z","abstract_excerpt":"We establish a vanishing result for indices of certain twisted Dirac operators on $\\text{Spin}^c$-manifolds with non-abelian Lie-group actions. We apply this result to study non-abelian symmetries of quasitoric manifolds. We give upper bounds for the degree of symmetry of these manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1056","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":"1108.1056","created_at":"2026-05-18T02:41:50.454027+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.1056v2","created_at":"2026-05-18T02:41:50.454027+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1056","created_at":"2026-05-18T02:41:50.454027+00:00"},{"alias_kind":"pith_short_12","alias_value":"C5WHWOOXPFFA","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C5WHWOOXPFFAO2YM","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C5WHWOOX","created_at":"2026-05-18T12:26:24.575870+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/C5WHWOOXPFFAO2YMG6IBGQINZY","json":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY.json","graph_json":"https://pith.science/api/pith-number/C5WHWOOXPFFAO2YMG6IBGQINZY/graph.json","events_json":"https://pith.science/api/pith-number/C5WHWOOXPFFAO2YMG6IBGQINZY/events.json","paper":"https://pith.science/paper/C5WHWOOX"},"agent_actions":{"view_html":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY","download_json":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY.json","view_paper":"https://pith.science/paper/C5WHWOOX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.1056&json=true","fetch_graph":"https://pith.science/api/pith-number/C5WHWOOXPFFAO2YMG6IBGQINZY/graph.json","fetch_events":"https://pith.science/api/pith-number/C5WHWOOXPFFAO2YMG6IBGQINZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY/action/storage_attestation","attest_author":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY/action/author_attestation","sign_citation":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY/action/citation_signature","submit_replication":"https://pith.science/pith/C5WHWOOXPFFAO2YMG6IBGQINZY/action/replication_record"}},"created_at":"2026-05-18T02:41:50.454027+00:00","updated_at":"2026-05-18T02:41:50.454027+00:00"}