{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JUVIOBJDMSTLLQTTNJNIPPBJYD","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":"31911453dda229ae97958b0919f0413fc79fa0ddb746500a1f8e21acad10f203","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-19T13:48:41Z","title_canon_sha256":"3182f35f94bece91cd3e7be557ba36b90363577fdaab9826ed917329b9237b5a"},"schema_version":"1.0","source":{"id":"1502.05570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05570","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05570v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05570","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"JUVIOBJDMSTL","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JUVIOBJDMSTLLQTT","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JUVIOBJD","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:0097e32e8df4b93363eab76c3e9898f21443012fd47d9c1cfccc949c5037e03a","target":"graph","created_at":"2026-05-18T02:26:46Z","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":"This short note contains a list of new results concerning the R\\'{e}nyi entropy, the Tsallis entropy, and the Heun functions associated with positive linear operators.","authors_text":"Ioan Rasa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-19T13:48:41Z","title":"Entropies and the derivatives of some Heun functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05570","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:b855034c818037f6ee08b359cc3569ab66be07831ae91305d3a0e2e609df1992","target":"record","created_at":"2026-05-18T02:26:46Z","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":"31911453dda229ae97958b0919f0413fc79fa0ddb746500a1f8e21acad10f203","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-19T13:48:41Z","title_canon_sha256":"3182f35f94bece91cd3e7be557ba36b90363577fdaab9826ed917329b9237b5a"},"schema_version":"1.0","source":{"id":"1502.05570","kind":"arxiv","version":1}},"canonical_sha256":"4d2a87052364a6b5c2736a5a87bc29c0fe5d4f21ecd13e486ffec8a52a8bae4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d2a87052364a6b5c2736a5a87bc29c0fe5d4f21ecd13e486ffec8a52a8bae4c","first_computed_at":"2026-05-18T02:26:46.209217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:46.209217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hWk4bUdQMQqku2NJWU1IXg05CSsgEhA2QamdeZ7unSWsMjQE0xYeZHnrS9gc0q9w4R88ICGmZ+WxtiS5FxqDDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:46.209763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b855034c818037f6ee08b359cc3569ab66be07831ae91305d3a0e2e609df1992","sha256:0097e32e8df4b93363eab76c3e9898f21443012fd47d9c1cfccc949c5037e03a"],"state_sha256":"f2a9b0f8221de5c003b693f0a872fcbd100e8d42b9e579f841e9479fb46e14c4"}