{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HS7LNT7CGXOCVB7CV2QJKVYCEE","short_pith_number":"pith:HS7LNT7C","schema_version":"1.0","canonical_sha256":"3cbeb6cfe235dc2a87e2aea0955702211c91dc00a78fb821fe8d46b0cb4b2ec5","source":{"kind":"arxiv","id":"1710.02080","version":1},"attestation_state":"computed","paper":{"title":"Moduli space of parabolic $\\Lambda$-modules over a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Alfaya","submitted_at":"2017-10-05T15:46:58Z","abstract_excerpt":"Simpson, in 1994, introduced the notion of $\\Lambda$-modules and constructed the corresponding moduli space, where $\\Lambda$ is a sheaf of rings of differential operators. Higgs bundles, connections and $\\lambda$-connections (as defined by Delgine) are particular cases of $\\Lambda$-modules. In this article the concept of parabolic $\\Lambda$-modules over a curve is introduced and their moduli space is built. As an application, we construct the parabolic Hodge moduli space parameterizing parabolic $\\lambda$-connections."},"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":"1710.02080","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-05T15:46:58Z","cross_cats_sorted":[],"title_canon_sha256":"4c6ad8cdb036e6599863d80d4928f23fcad732ccf71848645696e6018646ed8d","abstract_canon_sha256":"400203c9a2947488276c6bd34b79cf96265c2c2a33f77ddf303ab1357d87bba8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:37.597282Z","signature_b64":"CucWihHVoYH2akCE3E+NwQAmyTQMLOrdZs4c4DT33Qp004M2vDL2xYu8XjcpRKca56bOmfkJ6hc7CdonUaByCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cbeb6cfe235dc2a87e2aea0955702211c91dc00a78fb821fe8d46b0cb4b2ec5","last_reissued_at":"2026-05-18T00:33:37.596631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:37.596631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli space of parabolic $\\Lambda$-modules over a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Alfaya","submitted_at":"2017-10-05T15:46:58Z","abstract_excerpt":"Simpson, in 1994, introduced the notion of $\\Lambda$-modules and constructed the corresponding moduli space, where $\\Lambda$ is a sheaf of rings of differential operators. Higgs bundles, connections and $\\lambda$-connections (as defined by Delgine) are particular cases of $\\Lambda$-modules. In this article the concept of parabolic $\\Lambda$-modules over a curve is introduced and their moduli space is built. As an application, we construct the parabolic Hodge moduli space parameterizing parabolic $\\lambda$-connections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02080","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":"1710.02080","created_at":"2026-05-18T00:33:37.596757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.02080v1","created_at":"2026-05-18T00:33:37.596757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02080","created_at":"2026-05-18T00:33:37.596757+00:00"},{"alias_kind":"pith_short_12","alias_value":"HS7LNT7CGXOC","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HS7LNT7CGXOCVB7C","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HS7LNT7C","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.26270","citing_title":"A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE","json":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE.json","graph_json":"https://pith.science/api/pith-number/HS7LNT7CGXOCVB7CV2QJKVYCEE/graph.json","events_json":"https://pith.science/api/pith-number/HS7LNT7CGXOCVB7CV2QJKVYCEE/events.json","paper":"https://pith.science/paper/HS7LNT7C"},"agent_actions":{"view_html":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE","download_json":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE.json","view_paper":"https://pith.science/paper/HS7LNT7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.02080&json=true","fetch_graph":"https://pith.science/api/pith-number/HS7LNT7CGXOCVB7CV2QJKVYCEE/graph.json","fetch_events":"https://pith.science/api/pith-number/HS7LNT7CGXOCVB7CV2QJKVYCEE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE/action/storage_attestation","attest_author":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE/action/author_attestation","sign_citation":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE/action/citation_signature","submit_replication":"https://pith.science/pith/HS7LNT7CGXOCVB7CV2QJKVYCEE/action/replication_record"}},"created_at":"2026-05-18T00:33:37.596757+00:00","updated_at":"2026-05-18T00:33:37.596757+00:00"}