{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:AHWJIC26YVHAOORCSMHEFMLQ2T","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":"7c1f2b069d017dd2566790c63ce600627fca3b2a4d057fe3124b161da5acb182","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2005-08-31T17:56:40Z","title_canon_sha256":"ef5b690df6b203cdacc308bfe6653531e28af0754a5ecf4a1c1456b596dee017"},"schema_version":"1.0","source":{"id":"cs/0508133","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0508133","created_at":"2026-05-18T04:37:23Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0508133v4","created_at":"2026-05-18T04:37:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0508133","created_at":"2026-05-18T04:37:23Z"},{"alias_kind":"pith_short_12","alias_value":"AHWJIC26YVHA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"AHWJIC26YVHAOORC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"AHWJIC26","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:9c8f46df901572a3dee237479b8b74b2d9091313993dadde8a0b8105aea970e2","target":"graph","created_at":"2026-05-18T04:37:23Z","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 every function f implemented as a lookup table can be implemented such that the computational complexity of evaluating f^m(x) is small, independently of m and x. The implementation only increases the storage space by a small_constant_ factor.","authors_text":"Boaz Tsaban","cross_cats":["cs.CR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2005-08-31T17:56:40Z","title":"Decompositions of graphs of functions and efficient iterations of lookup tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0508133","kind":"arxiv","version":4},"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":"sha256:5c6d1b645ad7e3d7a5ebaf2b9ba5fe94d3ab55806ad8a94561becc548b585b2b","target":"record","created_at":"2026-05-18T04:37:23Z","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":"7c1f2b069d017dd2566790c63ce600627fca3b2a4d057fe3124b161da5acb182","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2005-08-31T17:56:40Z","title_canon_sha256":"ef5b690df6b203cdacc308bfe6653531e28af0754a5ecf4a1c1456b596dee017"},"schema_version":"1.0","source":{"id":"cs/0508133","kind":"arxiv","version":4}},"canonical_sha256":"01ec940b5ec54e073a22930e42b170d4d03624f89af4d03b5114503943df4db0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01ec940b5ec54e073a22930e42b170d4d03624f89af4d03b5114503943df4db0","first_computed_at":"2026-05-18T04:37:23.238284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:23.238284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u+VagfYYlh63xEbuTGbq41yLEnn//PWo+GBbu5gmDEJNnItkzP83M4kxnuGE0ZIZ1O5f7XDIFExx1b2v3EWtCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:23.238738Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0508133","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c6d1b645ad7e3d7a5ebaf2b9ba5fe94d3ab55806ad8a94561becc548b585b2b","sha256:9c8f46df901572a3dee237479b8b74b2d9091313993dadde8a0b8105aea970e2"],"state_sha256":"be73e8f56f4591637edd7f3e17ff445badf581a4d9c3c3702b9bb2142e64bf1b"}