{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BEJPTA5HJDXIKG4ADN2IAKYEDW","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cc22d75f5e57e368eef09214cf0032fda1538f1dabe2ea01a04b0dc62fa7e848","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2026-05-20T16:57:15Z","title_canon_sha256":"9864017272a92fe6791dc1fa7db1c7f244225dac5d6e200b4ee6c46aafa92f02"},"schema_version":"1.0","source":{"id":"2605.21400","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21400","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21400v1","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21400","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"BEJPTA5HJDXI","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_16","alias_value":"BEJPTA5HJDXIKG4A","created_at":"2026-05-21T02:05:32Z"},{"alias_kind":"pith_short_8","alias_value":"BEJPTA5H","created_at":"2026-05-21T02:05:32Z"}],"graph_snapshots":[{"event_id":"sha256:35e2bcab18ae09af5ee90988d2f3a0699a59ade8d6120d87f5e0b37b6c9dabd1","target":"graph","created_at":"2026-05-21T02:05:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.21400/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate the problem of clock skew compensation as a special case of the integer linear scaling in the form of iD/A and propose two algorithms -- i.e., the multiplicative decomposition of integer division (MDID) and the additive decomposition of direct search (ADDS) -- for its nearest integer solution, which are not only immune to floating-point precision loss but also non-incremental unlike our prior approaches based on Bresenham's algorithm. Having theoretically established both decomposition algorithms based on a unified and rigorous formulation of the problem of the integer linear scal","authors_text":"Kyeong Soo Kim","cross_cats":["cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2026-05-20T16:57:15Z","title":"pace-Time Trade-off in Integer Linear Scaling Rounded to the Nearest Integer through Multiplicative and Additive Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21400","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:a8546746a230e72516984181ebee22ebea7992ade74018c6f018b85f75fb8dfb","target":"record","created_at":"2026-05-21T02:05:32Z","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":"cc22d75f5e57e368eef09214cf0032fda1538f1dabe2ea01a04b0dc62fa7e848","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2026-05-20T16:57:15Z","title_canon_sha256":"9864017272a92fe6791dc1fa7db1c7f244225dac5d6e200b4ee6c46aafa92f02"},"schema_version":"1.0","source":{"id":"2605.21400","kind":"arxiv","version":1}},"canonical_sha256":"0912f983a748ee851b801b74802b041d8f6f9f7f86a160682f786cd42e0bbc97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0912f983a748ee851b801b74802b041d8f6f9f7f86a160682f786cd42e0bbc97","first_computed_at":"2026-05-21T02:05:32.933412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:32.933412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JesUDW0upmdWS21Y8xp/rOWKhFIkRk8a2ED7Xt7Ednp629OFHcYSmHkrGmSW7yaxuTums2E7QUJPo59Z/dNJBA==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:32.934175Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21400","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8546746a230e72516984181ebee22ebea7992ade74018c6f018b85f75fb8dfb","sha256:35e2bcab18ae09af5ee90988d2f3a0699a59ade8d6120d87f5e0b37b6c9dabd1","sha256:17c693854bc21d31833ebccca46fb581e487c907d3daae28b19f9d3272ba4c95"],"state_sha256":"08a33302628ca298971ceb81698a46c48f7c8c97534394755526d6903e6b6745"}