{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q5JJDB5AQ554Y6SBNBOLDSHL7B","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":"06fb0dfbaaca8d7b8e91eadc95219ba197f32c84e721d7d8cf0c57a418ba7b14","cross_cats_sorted":["cs.DC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-04-06T18:55:28Z","title_canon_sha256":"609f1451537593fa3972ab6ed75bf4c8ef7926d2e8e0419a10c5efc07cb87174"},"schema_version":"1.0","source":{"id":"1504.01352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01352","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01352v1","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01352","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"Q5JJDB5AQ554","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q5JJDB5AQ554Y6SB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q5JJDB5A","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:91e058e75d85fc59368f1159e851d776233230de3f2a1076f8ac9a8415b24f04","target":"graph","created_at":"2026-05-18T02:19:27Z","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 study the multi-broadcast problem in multi-hop wireless networks under the SINR model deployed in the 2D Euclidean plane. In multi-broadcast, there are $k$ initial rumours, potentially belonging to different nodes, that must be forwarded to all $n$ nodes of the network. Furthermore, in each round a node can only transmit a small message that could contain at most one initial rumor and $O(\\log n)$ control bits. In order to be successfully delivered to a node, transmissions must satisfy the (Signal-to-Inference-and-Noise-Ratio) SINR condition and have sufficiently strong signal at the receive","authors_text":"Dariusz R. Kowalski, Sai Praneeth Reddy, Shailesh Vaya","cross_cats":["cs.DC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-04-06T18:55:28Z","title":"Multi-Broadcasting under the SINR Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01352","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":"sha256:1f4ba335755d5819687dfd4a04561992ecaca872476770e4ddb8f2a08612ecba","target":"record","created_at":"2026-05-18T02:19:27Z","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":"06fb0dfbaaca8d7b8e91eadc95219ba197f32c84e721d7d8cf0c57a418ba7b14","cross_cats_sorted":["cs.DC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-04-06T18:55:28Z","title_canon_sha256":"609f1451537593fa3972ab6ed75bf4c8ef7926d2e8e0419a10c5efc07cb87174"},"schema_version":"1.0","source":{"id":"1504.01352","kind":"arxiv","version":1}},"canonical_sha256":"87529187a0877bcc7a41685cb1c8ebf872c39c346d49e8b5904d9b101ce581c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87529187a0877bcc7a41685cb1c8ebf872c39c346d49e8b5904d9b101ce581c4","first_computed_at":"2026-05-18T02:19:27.374065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:27.374065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7jcyrX3E9NIw26F2TQ+FwHR3wFfmEDtSmERTBJgYieEyeO7diXvYg7b0BcBGj85hTejOGh6gsq8YP6PmEYFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:27.374759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f4ba335755d5819687dfd4a04561992ecaca872476770e4ddb8f2a08612ecba","sha256:91e058e75d85fc59368f1159e851d776233230de3f2a1076f8ac9a8415b24f04"],"state_sha256":"946217d4ecc087df0eec4d3de5931477d2397359d8ef612199214500bb809812"}