{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5OQQNCZOAKENG322NHMLNVKVW5","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":"977ef41f25da4cacbfeef215ad03d52559bee9dad1f2a0de119a7d47b385c285","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2014-08-23T16:56:26Z","title_canon_sha256":"b89f57c1d29a474bc289533a369aae4b207c66587b1101c941127253ed6093c3"},"schema_version":"1.0","source":{"id":"1408.5514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5514","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5514v1","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5514","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"5OQQNCZOAKEN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5OQQNCZOAKENG322","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5OQQNCZO","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:32b3587e93fb55527832b7e2c4a06e9ffa5872fc7614758bd67e7904e1535f9d","target":"graph","created_at":"2026-05-18T02:44:24Z","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":"We provide bounds on the size of operators obtained by algorithms for executing D-finite closure properties. For operators of small order, we give bounds on the degree and on the height (bit-size). For higher order operators, we give degree bounds that are parameterized with respect to the order and reflect the phenomenon that higher order operators may have lower degrees (order-degree curves).","authors_text":"Manuel Kauers","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2014-08-23T16:56:26Z","title":"Bounds for D-finite closure properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5514","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":"sha256:4586e49bfed4a8c44e0e5fc8ff2b5aa27085211e82d0beff2e38f3a2915e3175","target":"record","created_at":"2026-05-18T02:44:24Z","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":"977ef41f25da4cacbfeef215ad03d52559bee9dad1f2a0de119a7d47b385c285","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2014-08-23T16:56:26Z","title_canon_sha256":"b89f57c1d29a474bc289533a369aae4b207c66587b1101c941127253ed6093c3"},"schema_version":"1.0","source":{"id":"1408.5514","kind":"arxiv","version":1}},"canonical_sha256":"eba1068b2e0288d36f5a69d8b6d555b7563e834596d4c82a17f8f0258634ad55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eba1068b2e0288d36f5a69d8b6d555b7563e834596d4c82a17f8f0258634ad55","first_computed_at":"2026-05-18T02:44:24.974549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:24.974549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZvb0b+GXFmAPqiJXGz3HgVYewcZmHlBDFm+9xmb5xF/oGwR3zRl+Jxy62qzPLQqdu9DtKdG1fhHZq0PJw7rBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:24.974958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4586e49bfed4a8c44e0e5fc8ff2b5aa27085211e82d0beff2e38f3a2915e3175","sha256:32b3587e93fb55527832b7e2c4a06e9ffa5872fc7614758bd67e7904e1535f9d"],"state_sha256":"10c5083a0fb3745582afc401001cd1ff7757d1e5a92231993eb371e4513e3670"}