{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LGQWKEZKSLU74UPV2YNRDBHLHX","short_pith_number":"pith:LGQWKEZK","canonical_record":{"source":{"id":"1801.09888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-30T08:21:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cc38f5db3eb0de048f33494bdcab4e94f1cc1030975a111f227db37afb72b165","abstract_canon_sha256":"e41c00a993c04ecdcc189224436d17b3135fee1c85f3796e338b5f916379b691"},"schema_version":"1.0"},"canonical_sha256":"59a165132a92e9fe51f5d61b1184eb3df03001932f6149a503ac029adafc0a37","source":{"kind":"arxiv","id":"1801.09888","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09888","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09888v1","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09888","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"pith_short_12","alias_value":"LGQWKEZKSLU7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LGQWKEZKSLU74UPV","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LGQWKEZK","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LGQWKEZKSLU74UPV2YNRDBHLHX","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-30T08:21:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cc38f5db3eb0de048f33494bdcab4e94f1cc1030975a111f227db37afb72b165","abstract_canon_sha256":"e41c00a993c04ecdcc189224436d17b3135fee1c85f3796e338b5f916379b691"},"schema_version":"1.0"},"canonical_sha256":"59a165132a92e9fe51f5d61b1184eb3df03001932f6149a503ac029adafc0a37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:46.498047Z","signature_b64":"pvn3EoCuxJ3/fycAmDEVzMHdIfMSr40PCaxn9Nqq/nIm18RVUS6qa0Vdf4tZhbNPCJtl6ndZBtI++UnYUaeUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59a165132a92e9fe51f5d61b1184eb3df03001932f6149a503ac029adafc0a37","last_reissued_at":"2026-05-18T00:24:46.497537Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:46.497537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09888","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":"2026-05-18T00:24:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mmEDWjAcXI+kKEuLZr+4NGkMyHbg7FsA9W+2uQ2UUf3t6qWc3X+BcLIyKe6moaEHNOL0mCH+dso8nuo0qp2IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:25:07.756976Z"},"content_sha256":"d4bc686c9aedebf729e994e1f3e5cc13b67e4ad09a3f89eb4c4cca7d5f61c4d9","schema_version":"1.0","event_id":"sha256:d4bc686c9aedebf729e994e1f3e5cc13b67e4ad09a3f89eb4c4cca7d5f61c4d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LGQWKEZKSLU74UPV2YNRDBHLHX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SIR Coverage Analysis in Cellular Networks with Temporal Traffic: A Stochastic Geometry Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Howard H. Yang, Tony Q. S. Quek","submitted_at":"2018-01-30T08:21:28Z","abstract_excerpt":"The bloom in mobile applications not just bring in enjoyment to daily life, but also imposes more complicated traffic situation on wireless network. A complete understanding of the impact from traffic profile is thus essential for network operators to respond adequately to the surge in data traffic. In this paper, based on stochastic geometry and queuing theory, we develop a mathematical framework that captures the interplay between the spatial location of base stations (BSs), which determines the magnitude of mutual interference, and their temporal traffic dy- namic. We derive a tractable exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09888","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":"2026-05-18T00:24:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sIiuzDrq0/ExNwxCk6dV858t4X98VRJhI/0I0afdC5idnD0xJjDBacJHlPw/UWqf6EB3rwhoNclr5YNdLVX0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T05:25:07.757659Z"},"content_sha256":"07616419452db29e1b2d293313231e5379c42001150d5d31987e47480d16442f","schema_version":"1.0","event_id":"sha256:07616419452db29e1b2d293313231e5379c42001150d5d31987e47480d16442f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/bundle.json","state_url":"https://pith.science/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/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":"2026-06-12T05:25:07Z","links":{"resolver":"https://pith.science/pith/LGQWKEZKSLU74UPV2YNRDBHLHX","bundle":"https://pith.science/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/bundle.json","state":"https://pith.science/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGQWKEZKSLU74UPV2YNRDBHLHX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LGQWKEZKSLU74UPV2YNRDBHLHX","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":"e41c00a993c04ecdcc189224436d17b3135fee1c85f3796e338b5f916379b691","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-30T08:21:28Z","title_canon_sha256":"cc38f5db3eb0de048f33494bdcab4e94f1cc1030975a111f227db37afb72b165"},"schema_version":"1.0","source":{"id":"1801.09888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09888","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09888v1","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09888","created_at":"2026-05-18T00:24:46Z"},{"alias_kind":"pith_short_12","alias_value":"LGQWKEZKSLU7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LGQWKEZKSLU74UPV","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LGQWKEZK","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:07616419452db29e1b2d293313231e5379c42001150d5d31987e47480d16442f","target":"graph","created_at":"2026-05-18T00:24:46Z","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 bloom in mobile applications not just bring in enjoyment to daily life, but also imposes more complicated traffic situation on wireless network. A complete understanding of the impact from traffic profile is thus essential for network operators to respond adequately to the surge in data traffic. In this paper, based on stochastic geometry and queuing theory, we develop a mathematical framework that captures the interplay between the spatial location of base stations (BSs), which determines the magnitude of mutual interference, and their temporal traffic dy- namic. We derive a tractable exp","authors_text":"Howard H. Yang, Tony Q. S. Quek","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-30T08:21:28Z","title":"SIR Coverage Analysis in Cellular Networks with Temporal Traffic: A Stochastic Geometry Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09888","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:d4bc686c9aedebf729e994e1f3e5cc13b67e4ad09a3f89eb4c4cca7d5f61c4d9","target":"record","created_at":"2026-05-18T00:24:46Z","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":"e41c00a993c04ecdcc189224436d17b3135fee1c85f3796e338b5f916379b691","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-30T08:21:28Z","title_canon_sha256":"cc38f5db3eb0de048f33494bdcab4e94f1cc1030975a111f227db37afb72b165"},"schema_version":"1.0","source":{"id":"1801.09888","kind":"arxiv","version":1}},"canonical_sha256":"59a165132a92e9fe51f5d61b1184eb3df03001932f6149a503ac029adafc0a37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59a165132a92e9fe51f5d61b1184eb3df03001932f6149a503ac029adafc0a37","first_computed_at":"2026-05-18T00:24:46.497537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:46.497537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pvn3EoCuxJ3/fycAmDEVzMHdIfMSr40PCaxn9Nqq/nIm18RVUS6qa0Vdf4tZhbNPCJtl6ndZBtI++UnYUaeUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:46.498047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4bc686c9aedebf729e994e1f3e5cc13b67e4ad09a3f89eb4c4cca7d5f61c4d9","sha256:07616419452db29e1b2d293313231e5379c42001150d5d31987e47480d16442f"],"state_sha256":"a934864437d9b6f0c65b74a02ab4d53d35e471a4281aeb383bfea442293f54b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjmMie1xIjtqC5b0FOu6ANnA4kPCQ+PMnxFLLQSqmPZIwXf9LqakKfOxiE5NkD+3+eTbyvKy/GOwafZv+kw2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T05:25:07.761361Z","bundle_sha256":"9dcfa562e4504128fa57ecbdd86f559969801c30f5b7202278a2eeaa47d8a940"}}