{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YEKECNNN2OGBQGPCFUMWQ3WQDR","short_pith_number":"pith:YEKECNNN","schema_version":"1.0","canonical_sha256":"c1144135add38c1819e22d19686ed01c7d9380691456f9da2e3a197abc8ebbc1","source":{"kind":"arxiv","id":"1111.4534","version":1},"attestation_state":"computed","paper":{"title":"Resonance varieties and Dwyer-Fried invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Alexander I. Suciu","submitted_at":"2011-11-19T05:13:49Z","abstract_excerpt":"The Dwyer-Fried invariants of a finite cell complex X are the subsets \\Omega^i_r(X) of the Grassmannian of r-planes in H^1(X,\\Q) which parametrize the regular \\Z^r-covers of X having finite Betti numbers up to degree i. In previous work, we showed that each \\Omega-invariant is contained in the complement of a union of Schubert varieties associated to a certain subspace arrangement in H^1(X,\\Q). Here, we identify a class of spaces for which this inclusion holds as equality. For such \"straight\" spaces X, all the data required to compute the \\Omega-invariants can be extracted from the resonance v"},"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":"1111.4534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-19T05:13:49Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"6a069a9ec38ccbde43074128d81b02a844f83409215c28aedd356fb35cc21ac3","abstract_canon_sha256":"412166e7470b87a11302e30342caf7edb62067f50990ad3d98606047db96ed46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:43.965556Z","signature_b64":"6+YTchfYYORbrgdEeqAYXjKEY33tmBYhlGeIo05Mo/iES4/9mJ8Q9R+LLt2KiIGZrD7KsnlVPhKTKRr4kIx+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1144135add38c1819e22d19686ed01c7d9380691456f9da2e3a197abc8ebbc1","last_reissued_at":"2026-05-17T23:42:43.964969Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:43.964969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resonance varieties and Dwyer-Fried invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Alexander I. Suciu","submitted_at":"2011-11-19T05:13:49Z","abstract_excerpt":"The Dwyer-Fried invariants of a finite cell complex X are the subsets \\Omega^i_r(X) of the Grassmannian of r-planes in H^1(X,\\Q) which parametrize the regular \\Z^r-covers of X having finite Betti numbers up to degree i. In previous work, we showed that each \\Omega-invariant is contained in the complement of a union of Schubert varieties associated to a certain subspace arrangement in H^1(X,\\Q). Here, we identify a class of spaces for which this inclusion holds as equality. For such \"straight\" spaces X, all the data required to compute the \\Omega-invariants can be extracted from the resonance v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4534","kind":"arxiv","version":1},"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":"1111.4534","created_at":"2026-05-17T23:42:43.965041+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4534v1","created_at":"2026-05-17T23:42:43.965041+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4534","created_at":"2026-05-17T23:42:43.965041+00:00"},{"alias_kind":"pith_short_12","alias_value":"YEKECNNN2OGB","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YEKECNNN2OGBQGPC","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YEKECNNN","created_at":"2026-05-18T12:26:47.523578+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/YEKECNNN2OGBQGPCFUMWQ3WQDR","json":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR.json","graph_json":"https://pith.science/api/pith-number/YEKECNNN2OGBQGPCFUMWQ3WQDR/graph.json","events_json":"https://pith.science/api/pith-number/YEKECNNN2OGBQGPCFUMWQ3WQDR/events.json","paper":"https://pith.science/paper/YEKECNNN"},"agent_actions":{"view_html":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR","download_json":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR.json","view_paper":"https://pith.science/paper/YEKECNNN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4534&json=true","fetch_graph":"https://pith.science/api/pith-number/YEKECNNN2OGBQGPCFUMWQ3WQDR/graph.json","fetch_events":"https://pith.science/api/pith-number/YEKECNNN2OGBQGPCFUMWQ3WQDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR/action/storage_attestation","attest_author":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR/action/author_attestation","sign_citation":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR/action/citation_signature","submit_replication":"https://pith.science/pith/YEKECNNN2OGBQGPCFUMWQ3WQDR/action/replication_record"}},"created_at":"2026-05-17T23:42:43.965041+00:00","updated_at":"2026-05-17T23:42:43.965041+00:00"}