{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2TLY5CXHBK2DSNQ5RLKKILC4RR","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":"9563840115bf41bc4bdd4923794c8b666860f7d7f767b624c10e36cae57dacaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-11-08T05:21:10Z","title_canon_sha256":"5098a0011e9f0538860119e44865590af9b85ff722f013bc67bb814ee4d71876"},"schema_version":"1.0","source":{"id":"1811.03278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03278","created_at":"2026-05-18T00:01:17Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03278v1","created_at":"2026-05-18T00:01:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03278","created_at":"2026-05-18T00:01:17Z"},{"alias_kind":"pith_short_12","alias_value":"2TLY5CXHBK2D","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2TLY5CXHBK2DSNQ5","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2TLY5CXH","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:b524dc106b18f90ba9205532c6c3ed6d505411e820ab49e689705814270c7342","target":"graph","created_at":"2026-05-18T00:01:17Z","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":"For many distributed algorithms, neighborhood size is an important parameter. In radio networks, however, obtaining this information can be difficult due to ad hoc deployments and communication that occurs on a collision-prone shared channel. This paper conducts a comprehensive survey of the approximate neighbor counting problem, which requires nodes to obtain a constant factor approximation of the size of their network neighborhood. We produce new lower and upper bounds for three main variations of this problem in the radio network model: (a) the network is single-hop and every node must obta","authors_text":"Calvin Newport, Chaodong Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-11-08T05:21:10Z","title":"Approximate Neighbor Counting in Radio Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03278","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:ace7e30c31f781445aba65f7644801899a925753842b8ecf53c6a5ad3cd604f4","target":"record","created_at":"2026-05-18T00:01:17Z","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":"9563840115bf41bc4bdd4923794c8b666860f7d7f767b624c10e36cae57dacaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-11-08T05:21:10Z","title_canon_sha256":"5098a0011e9f0538860119e44865590af9b85ff722f013bc67bb814ee4d71876"},"schema_version":"1.0","source":{"id":"1811.03278","kind":"arxiv","version":1}},"canonical_sha256":"d4d78e8ae70ab439361d8ad4a42c5c8c66ac2fced80636df937f6c5e5f664914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4d78e8ae70ab439361d8ad4a42c5c8c66ac2fced80636df937f6c5e5f664914","first_computed_at":"2026-05-18T00:01:17.058435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:17.058435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f/nB7flaKVPRRKNdEvE2KPRkFBCHmnZs70v/vNjlt27rV9YIINPcXPz5mb0cT69qA4qK5XvUFZI2JV7SvZvcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:17.058825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ace7e30c31f781445aba65f7644801899a925753842b8ecf53c6a5ad3cd604f4","sha256:b524dc106b18f90ba9205532c6c3ed6d505411e820ab49e689705814270c7342"],"state_sha256":"598d2e08ef2a492797c39600eaab59e1bddffd32e2993ff317c9e76745d66e7b"}