{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KK32XVE6SQ5ST6C632JBIKUGPA","short_pith_number":"pith:KK32XVE6","schema_version":"1.0","canonical_sha256":"52b7abd49e943b29f85ede92142a86781b53eafd63dcc48125bcb0b23386cd24","source":{"kind":"arxiv","id":"1206.3773","version":3},"attestation_state":"computed","paper":{"title":"Nonabelian cohomology jump loci from an analytic viewpoint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Alexandru Dimca, Stefan Papadima","submitted_at":"2012-06-17T17:44:01Z","abstract_excerpt":"For a topological space, we investigate its cohomology support loci, sitting inside varieties of (nonabelian) representations of the fundamental group. To do this, for a CDG (commutative differential graded) algebra, we define its cohomology jump loci, sitting inside varieties of (algebraic) flat connections. We prove that the analytic germs at the origin 1 of representation varieties are determined by the Sullivan 1-minimal model of the space. Under mild finiteness assumptions, we show that, up to a degree $q$, the two types of jump loci have the same analytic germs at the origins, when the s"},"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":"1206.3773","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-17T17:44:01Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"ebfeb01bb4903269dd86c3a5e0c9210cc64873a802ae25743ec3a7bf80f0ee09","abstract_canon_sha256":"bb57c4bf780b60ab5eb4157b42450f0a9ecb48f5381ec6ecebafb00cba97a0da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:12.678217Z","signature_b64":"rehGQsPJm/gZeB6d5vxl1fqFKO9WXgymJh8n79WlvGRd4Xv4OsRYAC55HSjb/DrcjJvhNIR8ikD7uRLXHLD9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52b7abd49e943b29f85ede92142a86781b53eafd63dcc48125bcb0b23386cd24","last_reissued_at":"2026-05-18T00:50:12.677712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:12.677712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonabelian cohomology jump loci from an analytic viewpoint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Alexandru Dimca, Stefan Papadima","submitted_at":"2012-06-17T17:44:01Z","abstract_excerpt":"For a topological space, we investigate its cohomology support loci, sitting inside varieties of (nonabelian) representations of the fundamental group. To do this, for a CDG (commutative differential graded) algebra, we define its cohomology jump loci, sitting inside varieties of (algebraic) flat connections. We prove that the analytic germs at the origin 1 of representation varieties are determined by the Sullivan 1-minimal model of the space. Under mild finiteness assumptions, we show that, up to a degree $q$, the two types of jump loci have the same analytic germs at the origins, when the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3773","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":"1206.3773","created_at":"2026-05-18T00:50:12.677811+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.3773v3","created_at":"2026-05-18T00:50:12.677811+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3773","created_at":"2026-05-18T00:50:12.677811+00:00"},{"alias_kind":"pith_short_12","alias_value":"KK32XVE6SQ5S","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KK32XVE6SQ5ST6C6","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KK32XVE6","created_at":"2026-05-18T12:27:11.947152+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/KK32XVE6SQ5ST6C632JBIKUGPA","json":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA.json","graph_json":"https://pith.science/api/pith-number/KK32XVE6SQ5ST6C632JBIKUGPA/graph.json","events_json":"https://pith.science/api/pith-number/KK32XVE6SQ5ST6C632JBIKUGPA/events.json","paper":"https://pith.science/paper/KK32XVE6"},"agent_actions":{"view_html":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA","download_json":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA.json","view_paper":"https://pith.science/paper/KK32XVE6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.3773&json=true","fetch_graph":"https://pith.science/api/pith-number/KK32XVE6SQ5ST6C632JBIKUGPA/graph.json","fetch_events":"https://pith.science/api/pith-number/KK32XVE6SQ5ST6C632JBIKUGPA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA/action/storage_attestation","attest_author":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA/action/author_attestation","sign_citation":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA/action/citation_signature","submit_replication":"https://pith.science/pith/KK32XVE6SQ5ST6C632JBIKUGPA/action/replication_record"}},"created_at":"2026-05-18T00:50:12.677811+00:00","updated_at":"2026-05-18T00:50:12.677811+00:00"}