{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:64OXCSYABT5UYLKNYXCGI4FEMD","short_pith_number":"pith:64OXCSYA","schema_version":"1.0","canonical_sha256":"f71d714b000cfb4c2d4dc5c46470a460c2b64cd70f25d5e56fcca44b04cf999f","source":{"kind":"arxiv","id":"1602.08219","version":2},"attestation_state":"computed","paper":{"title":"Algebraic deRham cohomology of log-Riemann surfaces of finite type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kingshook Biswas","submitted_at":"2016-02-26T07:15:40Z","abstract_excerpt":"Log-Riemann surfaces of finite type are Riemann surfaces with finitely generated fundamental group equipped with a local diffeomorphism to C such that the surface has finitely many infinite order ramification points. We define and prove nondegeneracy of a period pairing for log-Riemann surfaces of finite type, given by pairing differentials with finitely many exponential singularities, of the form g exp(\\int R_0) dz (where g, R_0 are meromorphic functions on a compact Riemann surface, with R_0 fixed) with closed curves and curves joining infinite order ramification points. As a consequence we "},"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":"1602.08219","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-26T07:15:40Z","cross_cats_sorted":[],"title_canon_sha256":"cbca3a4b66c126113f515ec30d9b97aefae6d771b4301c5e542546293c76a1f8","abstract_canon_sha256":"cb460e0b6489946537bc5e921d0f830c199a10f87a0fad02d8a0364e922d15a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:16.765826Z","signature_b64":"iBuBGRRDwS9n+cQRNapnBzTsDNu9ywOgwqR3hpffXuAbDQtFUS3JtCdOfx7IwXZXw5lMkxU0FAIjWGM7ehifCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f71d714b000cfb4c2d4dc5c46470a460c2b64cd70f25d5e56fcca44b04cf999f","last_reissued_at":"2026-05-18T01:12:16.765394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:16.765394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic deRham cohomology of log-Riemann surfaces of finite type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kingshook Biswas","submitted_at":"2016-02-26T07:15:40Z","abstract_excerpt":"Log-Riemann surfaces of finite type are Riemann surfaces with finitely generated fundamental group equipped with a local diffeomorphism to C such that the surface has finitely many infinite order ramification points. We define and prove nondegeneracy of a period pairing for log-Riemann surfaces of finite type, given by pairing differentials with finitely many exponential singularities, of the form g exp(\\int R_0) dz (where g, R_0 are meromorphic functions on a compact Riemann surface, with R_0 fixed) with closed curves and curves joining infinite order ramification points. As a consequence we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08219","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":"1602.08219","created_at":"2026-05-18T01:12:16.765487+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.08219v2","created_at":"2026-05-18T01:12:16.765487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08219","created_at":"2026-05-18T01:12:16.765487+00:00"},{"alias_kind":"pith_short_12","alias_value":"64OXCSYABT5U","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"64OXCSYABT5UYLKN","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"64OXCSYA","created_at":"2026-05-18T12:30:01.593930+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/64OXCSYABT5UYLKNYXCGI4FEMD","json":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD.json","graph_json":"https://pith.science/api/pith-number/64OXCSYABT5UYLKNYXCGI4FEMD/graph.json","events_json":"https://pith.science/api/pith-number/64OXCSYABT5UYLKNYXCGI4FEMD/events.json","paper":"https://pith.science/paper/64OXCSYA"},"agent_actions":{"view_html":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD","download_json":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD.json","view_paper":"https://pith.science/paper/64OXCSYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.08219&json=true","fetch_graph":"https://pith.science/api/pith-number/64OXCSYABT5UYLKNYXCGI4FEMD/graph.json","fetch_events":"https://pith.science/api/pith-number/64OXCSYABT5UYLKNYXCGI4FEMD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD/action/storage_attestation","attest_author":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD/action/author_attestation","sign_citation":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD/action/citation_signature","submit_replication":"https://pith.science/pith/64OXCSYABT5UYLKNYXCGI4FEMD/action/replication_record"}},"created_at":"2026-05-18T01:12:16.765487+00:00","updated_at":"2026-05-18T01:12:16.765487+00:00"}