{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B6BUP7ZXZNY6SB2VBTVK66L4F5","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":"67149cafe5d0b72f87326f4c5671f7c1bd6152385281dfa56606ce2bb9e7b686","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-14T09:08:05Z","title_canon_sha256":"4b2e28aa5a45acc448b762039d93ab824aea0458bb609542bcb62ec371811dff"},"schema_version":"1.0","source":{"id":"1509.04002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04002","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04002v1","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04002","created_at":"2026-05-18T01:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"B6BUP7ZXZNY6","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B6BUP7ZXZNY6SB2V","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B6BUP7ZX","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:f5d5506baf055e0c9b13afd3ff4ea7d8f3041bd8d706b397cbcae62e5bdb728c","target":"graph","created_at":"2026-05-18T01:33:08Z","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 study the performance of non-fading and Rayleigh fading ad hoc networks. We first characterize the distribution of the signal-to-interference-plus-noise ratio (SINR) through the Laplace transform of the inverted SINR for non-fading channels. Since most communication systems are interference-limited, we also consider the case of negligible noise power, and derive the upper and lower bounds for the signal-to-interference ratio (SIR) distribution under both non-fading and fading cases. These bounds are of closed forms and thus more convenient for theoretical analysis. Based on t","authors_text":"Hieu Duy Nguyen, Sumei Sun","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-14T09:08:05Z","title":"Stochastic Geometry-Based Performance Bounds for Non-Fading and Rayleigh Fading Ad Hoc Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04002","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:fc08e107aacd15bb0bfbdf830fbd0fc68362ed2323f1f889e38cccc0236dda78","target":"record","created_at":"2026-05-18T01:33:08Z","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":"67149cafe5d0b72f87326f4c5671f7c1bd6152385281dfa56606ce2bb9e7b686","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-14T09:08:05Z","title_canon_sha256":"4b2e28aa5a45acc448b762039d93ab824aea0458bb609542bcb62ec371811dff"},"schema_version":"1.0","source":{"id":"1509.04002","kind":"arxiv","version":1}},"canonical_sha256":"0f8347ff37cb71e907550ceaaf797c2f75f6f3b2aa4f3d9eac3ce00b258e893c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f8347ff37cb71e907550ceaaf797c2f75f6f3b2aa4f3d9eac3ce00b258e893c","first_computed_at":"2026-05-18T01:33:08.519213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:08.519213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wcfUrDnJIqt9krsqV3b+Jwp1e3j+53xzryZWKwtGKyBnsCn7j7dDpwYClGFYg3SeMJ6XEvEVuyywF5htHM67DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:08.519709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc08e107aacd15bb0bfbdf830fbd0fc68362ed2323f1f889e38cccc0236dda78","sha256:f5d5506baf055e0c9b13afd3ff4ea7d8f3041bd8d706b397cbcae62e5bdb728c"],"state_sha256":"2962aaf5ef9af5e1ebe5a8369b07f7b9b8bced86cf232116875b02f989555f53"}