{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4PDZV656PMRUQ4XUQZFIGOUT6K","short_pith_number":"pith:4PDZV656","canonical_record":{"source":{"id":"1802.10552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-28T17:42:51Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"2675ca4ba4418cff05f40602cd15ad4c2802b5dab2c9dd7b6a083b380892bfc3","abstract_canon_sha256":"aee6718fbf45481c283647398a029ed9a142c9bb8039e438f3df02e1fedfe37e"},"schema_version":"1.0"},"canonical_sha256":"e3c79afbbe7b234872f4864a833a93f28747d26d1a75fc5e65bf627b6f4f5224","source":{"kind":"arxiv","id":"1802.10552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10552","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10552v1","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10552","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"4PDZV656PMRU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4PDZV656PMRUQ4XU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4PDZV656","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4PDZV656PMRUQ4XUQZFIGOUT6K","target":"record","payload":{"canonical_record":{"source":{"id":"1802.10552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-28T17:42:51Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"2675ca4ba4418cff05f40602cd15ad4c2802b5dab2c9dd7b6a083b380892bfc3","abstract_canon_sha256":"aee6718fbf45481c283647398a029ed9a142c9bb8039e438f3df02e1fedfe37e"},"schema_version":"1.0"},"canonical_sha256":"e3c79afbbe7b234872f4864a833a93f28747d26d1a75fc5e65bf627b6f4f5224","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:16.810641Z","signature_b64":"wNim00helfEF05quJVjNnaUkMWalB1xgGYDvjr9tAtCnZRHDz5KD2Ge4dpCF/ee4MgG1GM0f2sBZJUQWOUNjBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3c79afbbe7b234872f4864a833a93f28747d26d1a75fc5e65bf627b6f4f5224","last_reissued_at":"2026-05-18T00:22:16.810105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:16.810105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.10552","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exoiIcJ5J5Uzkq5D/0Nn19N/qpkiMgDBMaY7KJtymYMh0yxPglL31hxb3wR3EgW4QG7Oz6MsVcz5E3v5fw8jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:43:12.980399Z"},"content_sha256":"946326d490972323c18947237c36b253062f606451d4ad84f93918ca02089be4","schema_version":"1.0","event_id":"sha256:946326d490972323c18947237c36b253062f606451d4ad84f93918ca02089be4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4PDZV656PMRUQ4XUQZFIGOUT6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equi-coverage Contours in Cellular Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"Chiranjib Saha, Harpreet S. Dhillon, Mehrnaz Afshang","submitted_at":"2018-02-28T17:42:51Z","abstract_excerpt":"In this letter, we introduce a general cellular network model where i) users and BSs are distributed as two general point processes that may be coupled, ii) pathloss is assumed to follow a multi-slope power-law pathloss model, and iii) fading (power) is assumed to be independent across all wireless links. For this setup, we first obtain a set of contours representing the same meta distribution of SIR, which is the distribution of the conditional coverage probability given the point process, for different values of the parameters of the pathloss function and BS and user point processes. This ge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10552","kind":"arxiv","version":1},"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":"2026-05-18T00:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eWKigzywkujI3ZWPunhK+Tk3mEY6ezZ4j3PvyXbpmnPSSPCfI/8sLz1un0s9AKvNfwwIl2XWvONx/sCvENvdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:43:12.980748Z"},"content_sha256":"94a6f8d90dbc7aae443d6506402a5f3ad86868c7beb91b0ff84b4d492766c8f5","schema_version":"1.0","event_id":"sha256:94a6f8d90dbc7aae443d6506402a5f3ad86868c7beb91b0ff84b4d492766c8f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/bundle.json","state_url":"https://pith.science/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/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":"2026-06-26T10:43:12Z","links":{"resolver":"https://pith.science/pith/4PDZV656PMRUQ4XUQZFIGOUT6K","bundle":"https://pith.science/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/bundle.json","state":"https://pith.science/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4PDZV656PMRUQ4XUQZFIGOUT6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4PDZV656PMRUQ4XUQZFIGOUT6K","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":"aee6718fbf45481c283647398a029ed9a142c9bb8039e438f3df02e1fedfe37e","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-28T17:42:51Z","title_canon_sha256":"2675ca4ba4418cff05f40602cd15ad4c2802b5dab2c9dd7b6a083b380892bfc3"},"schema_version":"1.0","source":{"id":"1802.10552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.10552","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1802.10552v1","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10552","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"4PDZV656PMRU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4PDZV656PMRUQ4XU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4PDZV656","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:94a6f8d90dbc7aae443d6506402a5f3ad86868c7beb91b0ff84b4d492766c8f5","target":"graph","created_at":"2026-05-18T00:22:16Z","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 letter, we introduce a general cellular network model where i) users and BSs are distributed as two general point processes that may be coupled, ii) pathloss is assumed to follow a multi-slope power-law pathloss model, and iii) fading (power) is assumed to be independent across all wireless links. For this setup, we first obtain a set of contours representing the same meta distribution of SIR, which is the distribution of the conditional coverage probability given the point process, for different values of the parameters of the pathloss function and BS and user point processes. This ge","authors_text":"Chiranjib Saha, Harpreet S. Dhillon, Mehrnaz Afshang","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-28T17:42:51Z","title":"Equi-coverage Contours in Cellular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10552","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":"sha256:946326d490972323c18947237c36b253062f606451d4ad84f93918ca02089be4","target":"record","created_at":"2026-05-18T00:22:16Z","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":"aee6718fbf45481c283647398a029ed9a142c9bb8039e438f3df02e1fedfe37e","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-28T17:42:51Z","title_canon_sha256":"2675ca4ba4418cff05f40602cd15ad4c2802b5dab2c9dd7b6a083b380892bfc3"},"schema_version":"1.0","source":{"id":"1802.10552","kind":"arxiv","version":1}},"canonical_sha256":"e3c79afbbe7b234872f4864a833a93f28747d26d1a75fc5e65bf627b6f4f5224","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3c79afbbe7b234872f4864a833a93f28747d26d1a75fc5e65bf627b6f4f5224","first_computed_at":"2026-05-18T00:22:16.810105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:16.810105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wNim00helfEF05quJVjNnaUkMWalB1xgGYDvjr9tAtCnZRHDz5KD2Ge4dpCF/ee4MgG1GM0f2sBZJUQWOUNjBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:16.810641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.10552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:946326d490972323c18947237c36b253062f606451d4ad84f93918ca02089be4","sha256:94a6f8d90dbc7aae443d6506402a5f3ad86868c7beb91b0ff84b4d492766c8f5"],"state_sha256":"c3cf82236f2a26c7354cd4efb35566a6c00e569a346f0bd54ac241a11ad0f8e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YcHAUjMJebvmnAtpONNYQdApSlhfuaJGSVo1hsjYW9eDhjXY8aXwb6betsz+9SwfZp0GHTf4UY5aDE4KRuA9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T10:43:12.982699Z","bundle_sha256":"7928b7ea6ce0d1d8cef1d39d64af65064d4d59729e0406c057c69ff3ceb76c72"}}