{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JQF73HUOAZJ5HF5R7NXZOLUFNR","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":"ee8883e306984b2b0c3aa13f824c7f2cc00db3956b6c3ecd3141bdb00b1112a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T17:32:53Z","title_canon_sha256":"8598fff7203abbbed19d903080a65b35c7e8462ffe8d06775d670db0360095d1"},"schema_version":"1.0","source":{"id":"1208.1977","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1977","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1977v3","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1977","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"JQF73HUOAZJ5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JQF73HUOAZJ5HF5R","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JQF73HUO","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:77b81e3407dbaeaade39634d4a767d7ec5dd92af4b101b476847fcfec0980b50","target":"graph","created_at":"2026-05-18T00:57:56Z","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":"Pushing data traffic from cellular to WiFi is an example of inter radio access technology (RAT) offloading. While this clearly alleviates congestion on the over-loaded cellular network, the ultimate potential of such offloading and its effect on overall system performance is not well understood. To address this, we develop a general and tractable model that consists of $M$ different RATs, each deploying up to $K$ different tiers of access points (APs), where each tier differs in transmit power, path loss exponent, deployment density and bandwidth. Each class of APs is modeled as an independent","authors_text":"Harpreet S. Dhillon, Jeffrey G. Andrews, Sarabjot Singh","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T17:32:53Z","title":"Offloading in Heterogeneous Networks: Modeling, Analysis, and Design Insights"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1977","kind":"arxiv","version":3},"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":"sha256:1f2c2df4cb770f81ac00af0da4eae84922fd89a6894e7a911a8f5dfd6aad0124","target":"record","created_at":"2026-05-18T00:57:56Z","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":"ee8883e306984b2b0c3aa13f824c7f2cc00db3956b6c3ecd3141bdb00b1112a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T17:32:53Z","title_canon_sha256":"8598fff7203abbbed19d903080a65b35c7e8462ffe8d06775d670db0360095d1"},"schema_version":"1.0","source":{"id":"1208.1977","kind":"arxiv","version":3}},"canonical_sha256":"4c0bfd9e8e0653d397b1fb6f972e856c7961debaded526fc59b74a8021410e54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c0bfd9e8e0653d397b1fb6f972e856c7961debaded526fc59b74a8021410e54","first_computed_at":"2026-05-18T00:57:56.811353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:56.811353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O0aFKrEAio3Gw6tejZL2XOvHCBJH5kuqfxHamOCr8LzDGm7JraS0JBiB5pUOIuxSvUDPcR0gRhpR1QaJbP4aCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:56.811701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1977","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f2c2df4cb770f81ac00af0da4eae84922fd89a6894e7a911a8f5dfd6aad0124","sha256:77b81e3407dbaeaade39634d4a767d7ec5dd92af4b101b476847fcfec0980b50"],"state_sha256":"482c665e1ebba0092a8a0ce33d8f991722b8c58b2d59396a8f0343dbf8a399ca"}