{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GC7LJ24DHS6N4GV37TGAUGNGQ4","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":"bc1286ae6421deadfb0172f01d4071277d11bfcfe2663fe4df85f27c20605bf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-10-05T16:21:03Z","title_canon_sha256":"b969160839d8c181bb57d8e841fdf9ce45a5438b3ee64cb64ec13d607189af7e"},"schema_version":"1.0","source":{"id":"1210.1804","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1804","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1804v2","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1804","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"GC7LJ24DHS6N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GC7LJ24DHS6N4GV3","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GC7LJ24D","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:e66d24042326de59e82c756f1545350698f95da9cad3f03b7acbabcb0c42f769","target":"graph","created_at":"2026-05-18T03:33:25Z","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":"In this paper we initiate a study of distributed deterministic broadcasting in ad-hoc wireless networks with uniform transmission powers under the SINR model. We design algorithms in two settings: with and without local knowledge about immediate neighborhood. In the former setting, our solution has almost optimal O(Dlog2 n) time cost, where n is the size of a network, D is the eccentricity of the network and {1,...,N} is the set of possible node IDs. In the latter case, we prove an Omega(n log N) lower bound and develop an algorithm matching this formula, where n is the number of network nodes","authors_text":"Dariusz R. Kowalski, Grzegorz Stachowiak, Tomasz Jurdzinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-10-05T16:21:03Z","title":"Distributed Deterministic Broadcasting in Wireless Networks of Weak Devices under the SINR Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1804","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:dfe30f2280a09bd7fa71eff3dd7db412eeac1f433a142be495dba5d72faf4aa9","target":"record","created_at":"2026-05-18T03:33:25Z","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":"bc1286ae6421deadfb0172f01d4071277d11bfcfe2663fe4df85f27c20605bf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-10-05T16:21:03Z","title_canon_sha256":"b969160839d8c181bb57d8e841fdf9ce45a5438b3ee64cb64ec13d607189af7e"},"schema_version":"1.0","source":{"id":"1210.1804","kind":"arxiv","version":2}},"canonical_sha256":"30beb4eb833cbcde1abbfccc0a19a687341a6c1fdc16cd6187bcdbc6500ef16a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30beb4eb833cbcde1abbfccc0a19a687341a6c1fdc16cd6187bcdbc6500ef16a","first_computed_at":"2026-05-18T03:33:25.643239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:25.643239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MWf64BApZ/bewIYDYm8o2i4AC/zhVvZlu6SczaPPlmDavP8Yy1luyJ9uJOFjrCuCZTqEr4QkvKNm/X42lvSJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:25.644009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1804","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfe30f2280a09bd7fa71eff3dd7db412eeac1f433a142be495dba5d72faf4aa9","sha256:e66d24042326de59e82c756f1545350698f95da9cad3f03b7acbabcb0c42f769"],"state_sha256":"647399bb6ee0b91db52f13e5c645fbb43c252006820dd98a3a5aba7873e50520"}