{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XMYYWO7SVXU7DK7NMI4AN5YM2W","short_pith_number":"pith:XMYYWO7S","canonical_record":{"source":{"id":"1605.03763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-12T11:30:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b62ed2f828d19d8a2ee04386558029c96c5702c33e343d02c189bc42884a3091","abstract_canon_sha256":"13fa2c3aca28a9e7a56e513d82cf57979687cf5506fccf266e433f42cf2eb6fe"},"schema_version":"1.0"},"canonical_sha256":"bb318b3bf2ade9f1abed623806f70cd593802c14e09159b15ce5ce6a1e18efba","source":{"kind":"arxiv","id":"1605.03763","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03763","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03763v2","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03763","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"pith_short_12","alias_value":"XMYYWO7SVXU7","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XMYYWO7SVXU7DK7N","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XMYYWO7S","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XMYYWO7SVXU7DK7NMI4AN5YM2W","target":"record","payload":{"canonical_record":{"source":{"id":"1605.03763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-12T11:30:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b62ed2f828d19d8a2ee04386558029c96c5702c33e343d02c189bc42884a3091","abstract_canon_sha256":"13fa2c3aca28a9e7a56e513d82cf57979687cf5506fccf266e433f42cf2eb6fe"},"schema_version":"1.0"},"canonical_sha256":"bb318b3bf2ade9f1abed623806f70cd593802c14e09159b15ce5ce6a1e18efba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:31.092911Z","signature_b64":"biAsuvz3av6v4NihMcw5gqnKDhehJhBzqb+L5v9uzJYZHXXVoo6RPbbJps/hOLJJwnLslMITmjav35tVRhtVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb318b3bf2ade9f1abed623806f70cd593802c14e09159b15ce5ce6a1e18efba","last_reissued_at":"2026-05-18T01:01:31.092297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:31.092297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.03763","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fiFoQ33sB8mImd9YHJKbTVUeEfylikjV28W+eBbq2fQ/B3jVSSvbTPDaPxiN+ucLwjgZdvuGK8DqykZjlLdyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:19:05.358456Z"},"content_sha256":"88b022d947753d7b42a93146b0f7b3a9938cf88e1ebdab6f2b03a1477fce0380","schema_version":"1.0","event_id":"sha256:88b022d947753d7b42a93146b0f7b3a9938cf88e1ebdab6f2b03a1477fce0380"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XMYYWO7SVXU7DK7NMI4AN5YM2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coverage Analysis In Downlink Poisson Cellular Network With $\\kappa$-$\\mu$ Shadowed Fading","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Radha Krishna Ganti, Sudharsan Parthasarathy","submitted_at":"2016-05-12T11:30:34Z","abstract_excerpt":"The downlink coverage probability of a cellular network, when the base station locations are modelled by a Poisson point process (PPP), is known when the desired channel is Nakagami distributed with an integer shape parameter. However, for many interesting fading distributions such as Rician, Rician shadowing, $\\kappa$-$\\mu$, $\\eta$-$\\mu$, etc., the coverage probability is unknown. $\\kappa$-$\\mu$ shadowed fading is a generic fading distribution whose special cases are many of these popular distributions known so far. In this letter, we derive the coverage probability when the desired channel e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03763","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BhP//4IfY4lcoCmAWZ/wM1zreZ5d3X2lCY8aRWb8mB0wRskTFDNNdE/qjmHMBV3IK7GIcTc7pMcHqOZbhMHyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:19:05.358805Z"},"content_sha256":"15f2e878454eb73ec2819b6211aa2c47b7f747cbb4b716d121fa233dcbb1854d","schema_version":"1.0","event_id":"sha256:15f2e878454eb73ec2819b6211aa2c47b7f747cbb4b716d121fa233dcbb1854d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/bundle.json","state_url":"https://pith.science/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T11:19:05Z","links":{"resolver":"https://pith.science/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W","bundle":"https://pith.science/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/bundle.json","state":"https://pith.science/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XMYYWO7SVXU7DK7NMI4AN5YM2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XMYYWO7SVXU7DK7NMI4AN5YM2W","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":"13fa2c3aca28a9e7a56e513d82cf57979687cf5506fccf266e433f42cf2eb6fe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-12T11:30:34Z","title_canon_sha256":"b62ed2f828d19d8a2ee04386558029c96c5702c33e343d02c189bc42884a3091"},"schema_version":"1.0","source":{"id":"1605.03763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03763","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03763v2","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03763","created_at":"2026-05-18T01:01:31Z"},{"alias_kind":"pith_short_12","alias_value":"XMYYWO7SVXU7","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XMYYWO7SVXU7DK7N","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XMYYWO7S","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:15f2e878454eb73ec2819b6211aa2c47b7f747cbb4b716d121fa233dcbb1854d","target":"graph","created_at":"2026-05-18T01:01:31Z","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":"The downlink coverage probability of a cellular network, when the base station locations are modelled by a Poisson point process (PPP), is known when the desired channel is Nakagami distributed with an integer shape parameter. However, for many interesting fading distributions such as Rician, Rician shadowing, $\\kappa$-$\\mu$, $\\eta$-$\\mu$, etc., the coverage probability is unknown. $\\kappa$-$\\mu$ shadowed fading is a generic fading distribution whose special cases are many of these popular distributions known so far. In this letter, we derive the coverage probability when the desired channel e","authors_text":"Radha Krishna Ganti, Sudharsan Parthasarathy","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-12T11:30:34Z","title":"Coverage Analysis In Downlink Poisson Cellular Network With $\\kappa$-$\\mu$ Shadowed Fading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03763","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":"sha256:88b022d947753d7b42a93146b0f7b3a9938cf88e1ebdab6f2b03a1477fce0380","target":"record","created_at":"2026-05-18T01:01:31Z","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":"13fa2c3aca28a9e7a56e513d82cf57979687cf5506fccf266e433f42cf2eb6fe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-05-12T11:30:34Z","title_canon_sha256":"b62ed2f828d19d8a2ee04386558029c96c5702c33e343d02c189bc42884a3091"},"schema_version":"1.0","source":{"id":"1605.03763","kind":"arxiv","version":2}},"canonical_sha256":"bb318b3bf2ade9f1abed623806f70cd593802c14e09159b15ce5ce6a1e18efba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb318b3bf2ade9f1abed623806f70cd593802c14e09159b15ce5ce6a1e18efba","first_computed_at":"2026-05-18T01:01:31.092297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:31.092297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"biAsuvz3av6v4NihMcw5gqnKDhehJhBzqb+L5v9uzJYZHXXVoo6RPbbJps/hOLJJwnLslMITmjav35tVRhtVCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:31.092911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.03763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88b022d947753d7b42a93146b0f7b3a9938cf88e1ebdab6f2b03a1477fce0380","sha256:15f2e878454eb73ec2819b6211aa2c47b7f747cbb4b716d121fa233dcbb1854d"],"state_sha256":"4c30ebe44e3235bfde8b4497030eb54a23faa9c9f85af64d4f2b62ab4d69d0fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ApJB7QNu3EEudMmIXL+9kqWSWTq7vu1lkhJzykm/8bGTGF3byEwIq951hkDvze4LifuoxMPzPTje2CQM/9dGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T11:19:05.360758Z","bundle_sha256":"94048aa219fcb921d32aa657a6c797c167023ad4662da9b28e5c8a797e7ba76b"}}