{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WNTGZNKK7WXPK2WKPAM5FQWMRK","short_pith_number":"pith:WNTGZNKK","schema_version":"1.0","canonical_sha256":"b3666cb54afdaef56aca7819d2c2cc8a93be45901e7c8c75edda937cdf8d0914","source":{"kind":"arxiv","id":"1606.08539","version":2},"attestation_state":"computed","paper":{"title":"A new approach to the connection problem for local solutions to the general Heun equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"P. P. Fiziev","submitted_at":"2016-06-28T02:30:10Z","abstract_excerpt":"We present new solution of the the connection problem for local solutions to the general Heun equation. Our approach is based on the symmetric form of the Heun's differential equation \\cite{Fiziev14,Fiziev16} with four different regular singular points $z_{1,2,3,4}$. The four special regular points in the complex plane: $Z_{123},Z_{234},Z_{341},Z_{412}$ are the centers of the circles, defined by the different triplets $\\{z_k,z_l,z_m\\}$ with corresponding different indexes and play fundamental role, since the coefficients of the connection matrix can be expressed using the values of local solut"},"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":"1606.08539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-28T02:30:10Z","cross_cats_sorted":["gr-qc","hep-th","math.MP","quant-ph"],"title_canon_sha256":"613a4d08de64f272308f89d40673b8ac4f5b35d7fa365a366a149175e8aa41a0","abstract_canon_sha256":"34dd9ef572fe9d9a229e47227f86c7610f5fc71b2b88c65664cf62ca909b3950"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:34.791255Z","signature_b64":"7O6vxQ0x8cQRoYgAc3jgHa8bexmKU+2AttnbXy/h1DXF+3w8gqNZ2bRwU4WYz/rBuZ7r/XmCzNua8VWImkcUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3666cb54afdaef56aca7819d2c2cc8a93be45901e7c8c75edda937cdf8d0914","last_reissued_at":"2026-05-18T01:11:34.790863Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:34.790863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new approach to the connection problem for local solutions to the general Heun equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"P. P. Fiziev","submitted_at":"2016-06-28T02:30:10Z","abstract_excerpt":"We present new solution of the the connection problem for local solutions to the general Heun equation. Our approach is based on the symmetric form of the Heun's differential equation \\cite{Fiziev14,Fiziev16} with four different regular singular points $z_{1,2,3,4}$. The four special regular points in the complex plane: $Z_{123},Z_{234},Z_{341},Z_{412}$ are the centers of the circles, defined by the different triplets $\\{z_k,z_l,z_m\\}$ with corresponding different indexes and play fundamental role, since the coefficients of the connection matrix can be expressed using the values of local solut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08539","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":"1606.08539","created_at":"2026-05-18T01:11:34.790924+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.08539v2","created_at":"2026-05-18T01:11:34.790924+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08539","created_at":"2026-05-18T01:11:34.790924+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNTGZNKK7WXP","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNTGZNKK7WXPK2WK","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNTGZNKK","created_at":"2026-05-18T12:30:48.956258+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/WNTGZNKK7WXPK2WKPAM5FQWMRK","json":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK.json","graph_json":"https://pith.science/api/pith-number/WNTGZNKK7WXPK2WKPAM5FQWMRK/graph.json","events_json":"https://pith.science/api/pith-number/WNTGZNKK7WXPK2WKPAM5FQWMRK/events.json","paper":"https://pith.science/paper/WNTGZNKK"},"agent_actions":{"view_html":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK","download_json":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK.json","view_paper":"https://pith.science/paper/WNTGZNKK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.08539&json=true","fetch_graph":"https://pith.science/api/pith-number/WNTGZNKK7WXPK2WKPAM5FQWMRK/graph.json","fetch_events":"https://pith.science/api/pith-number/WNTGZNKK7WXPK2WKPAM5FQWMRK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK/action/storage_attestation","attest_author":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK/action/author_attestation","sign_citation":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK/action/citation_signature","submit_replication":"https://pith.science/pith/WNTGZNKK7WXPK2WKPAM5FQWMRK/action/replication_record"}},"created_at":"2026-05-18T01:11:34.790924+00:00","updated_at":"2026-05-18T01:11:34.790924+00:00"}