{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YHOHHOCZPZONCDSKUVP3SPCIDS","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":"08733fd3aafc1daf4f7b02bc163cdf7489a9237c99ae5c7c15a912321b75882b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2013-11-15T04:10:38Z","title_canon_sha256":"b71e2447bae7f8f43a308e02ff89bde5b85741a4f0a2c4f73647f53085839bb1"},"schema_version":"1.0","source":{"id":"1311.3720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3720","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3720v2","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3720","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"pith_short_12","alias_value":"YHOHHOCZPZON","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YHOHHOCZPZONCDSK","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YHOHHOCZ","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:905d1ee71df7f2b9bef5f96c278daaae427bad02c1f190e9941678a7faa1cdbc","target":"graph","created_at":"2026-05-18T02:58:21Z","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 show that the number of digits in the integers of a creative telescoping relation of expected minimal order for a bivariate proper hypergeometric term has essentially cubic growth with the problem size. For telescopers of higher order but lower degree we obtain a quintic bound. Experiments suggest that these bounds are tight. As applications of our results, we give an improved bound on the maximal possible integer root of the leading coefficient of a telescoper, and the first discussion of the bit complexity of creative telescoping.","authors_text":"Lily Yen, Manuel Kauers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2013-11-15T04:10:38Z","title":"On the length of integers in telescopers for proper hypergeometric terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3720","kind":"arxiv","version":2},"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":"sha256:972496c69cc8a381422cb41e82ee7519aa91d2990db9cf2a53f2d7d62321fbc9","target":"record","created_at":"2026-05-18T02:58:21Z","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":"08733fd3aafc1daf4f7b02bc163cdf7489a9237c99ae5c7c15a912321b75882b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2013-11-15T04:10:38Z","title_canon_sha256":"b71e2447bae7f8f43a308e02ff89bde5b85741a4f0a2c4f73647f53085839bb1"},"schema_version":"1.0","source":{"id":"1311.3720","kind":"arxiv","version":2}},"canonical_sha256":"c1dc73b8597e5cd10e4aa55fb93c481cbaad6e1f9fdc27e8f99f210f4a054cd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1dc73b8597e5cd10e4aa55fb93c481cbaad6e1f9fdc27e8f99f210f4a054cd3","first_computed_at":"2026-05-18T02:58:21.533736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:21.533736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2X9UTmj0d8Br/3Y5v9PpCnhhtu9x0NRPLDkGMbxh+iDoe6XbRIyYrmVC+/nWlQLsBohOQ9qLj6L3CGkbmW/9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:21.534180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:972496c69cc8a381422cb41e82ee7519aa91d2990db9cf2a53f2d7d62321fbc9","sha256:905d1ee71df7f2b9bef5f96c278daaae427bad02c1f190e9941678a7faa1cdbc"],"state_sha256":"2ae06c3efbf36ed17ffef62a439761a8a46989c7b5ab9ca105c830b2aec3dd33"}