{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MIZSAMMXKZGW6HV5YJEGNVBSN4","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":"1ee94539e2d03d109dd3f61e4b46ad2a76f1c4082788aced564692472d024229","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-09-29T16:13:52Z","title_canon_sha256":"82d6d6d55c7068e0d33bb1a859d623778c804d1016f5c5e592eb7f0e245020cc"},"schema_version":"1.0","source":{"id":"1709.10477","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10477","created_at":"2026-05-18T00:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10477v1","created_at":"2026-05-18T00:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10477","created_at":"2026-05-18T00:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"MIZSAMMXKZGW","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MIZSAMMXKZGW6HV5","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MIZSAMMX","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:06f55f50435bb0b0427402980a59dab82325596937a7ac5481b72e541f5d0d50","target":"graph","created_at":"2026-05-18T00:34:01Z","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 for all given $n,t,w \\in \\{1,2,...\\}$ with $n<2^w$, an array of $n$ entries of $w$ bits each can be represented on a word RAM with a word length of $w$ bits in at most $nw+\\lceil n(t/(2 w))^t\\rceil$ bits of uninitialized memory to support constant-time initialization of the whole array and $O(t)$-time reading and writing of individual array entries. At one end of this tradeoff, we achieve initialization and access (i.e., reading and writing) in constant time with $nw+\\lceil n/w^t\\rceil$ bits for arbitrary fixed $t$, to be compared with $nw+\\Theta(n)$ bits for the best previous sol","authors_text":"Frank Kammer, Torben Hagerup","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-09-29T16:13:52Z","title":"On-the-Fly Array Initialization in Less Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10477","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":"sha256:8f475039c7d75260815f59870731fdc36e374009c9afe1464c889acaf2ed6cd3","target":"record","created_at":"2026-05-18T00:34:01Z","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":"1ee94539e2d03d109dd3f61e4b46ad2a76f1c4082788aced564692472d024229","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-09-29T16:13:52Z","title_canon_sha256":"82d6d6d55c7068e0d33bb1a859d623778c804d1016f5c5e592eb7f0e245020cc"},"schema_version":"1.0","source":{"id":"1709.10477","kind":"arxiv","version":1}},"canonical_sha256":"6233203197564d6f1ebdc24866d4326f0ff16f46ba1d4ad92fd78c6bdd071908","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6233203197564d6f1ebdc24866d4326f0ff16f46ba1d4ad92fd78c6bdd071908","first_computed_at":"2026-05-18T00:34:01.007146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:01.007146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xE/vYnoaydtqvdVQGYyBBAISNcTcNrIOpVprntMh6MI+ic0bjOGtqbkcJUC+2PybDVVIf3a8JhiMWMDZ1JU/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:01.007608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10477","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f475039c7d75260815f59870731fdc36e374009c9afe1464c889acaf2ed6cd3","sha256:06f55f50435bb0b0427402980a59dab82325596937a7ac5481b72e541f5d0d50"],"state_sha256":"783b6edbddeb42f4e8362204dd983490e6786baf289032282226e1b92a077191"}