{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2CMNJMLE6IXGASDUGZ6CMQHXLR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8b053e12c75bbc39c891616dc1008e0c256ccfa2bec514d3c6133e653c8bec56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-11T00:39:48Z","title_canon_sha256":"38d1e090bce82441e54c041c8475a21e54025ca720c067283a4ba34edcd436eb"},"schema_version":"1.0","source":{"id":"1511.03345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03345","created_at":"2026-05-18T01:27:15Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03345v1","created_at":"2026-05-18T01:27:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03345","created_at":"2026-05-18T01:27:15Z"},{"alias_kind":"pith_short_12","alias_value":"2CMNJMLE6IXG","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2CMNJMLE6IXGASDU","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2CMNJMLE","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:8ac5968279627633cde08b7c378f643699c151e3b43dbba3d3ca9e59d8520586","target":"graph","created_at":"2026-05-18T01:27:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For a linear differential equation with a mild condition on its singularities, we discuss generalized continued fractions converging to expressions in its solutions and their derivatives. In the case of an order two linear differential equation, this is the logarithmic derivative of the holomorphic solution near a singularity.","authors_text":"Cesar Camacho, Hossein Movasati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-11T00:39:48Z","title":"Remarks on a theorem of Perron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03345","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f943e62cd67abe1618214153b51acf52d924a2dab9fddf6391e940da3c4c8d78","target":"record","created_at":"2026-05-18T01:27:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8b053e12c75bbc39c891616dc1008e0c256ccfa2bec514d3c6133e653c8bec56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-11T00:39:48Z","title_canon_sha256":"38d1e090bce82441e54c041c8475a21e54025ca720c067283a4ba34edcd436eb"},"schema_version":"1.0","source":{"id":"1511.03345","kind":"arxiv","version":1}},"canonical_sha256":"d098d4b164f22e604874367c2640f75c402f082c3dd3f1faa106b022db69eda1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d098d4b164f22e604874367c2640f75c402f082c3dd3f1faa106b022db69eda1","first_computed_at":"2026-05-18T01:27:15.711836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:15.711836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w+Kk254EjkkxsN2iX6bXO5RzmvKRuxNelWKLw8+SMDlSxVlh+L7XvcFqN7uizMDtS6rEL8SimHa/9MsA1Tu9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:15.712453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f943e62cd67abe1618214153b51acf52d924a2dab9fddf6391e940da3c4c8d78","sha256:8ac5968279627633cde08b7c378f643699c151e3b43dbba3d3ca9e59d8520586"],"state_sha256":"e35f51297618e27d4708fdbb0bd9934a4cbf9dd2314f7b5ed65befa84f564a21"}