{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:SONQ2WMUY5M2FJABBW53FKSNXS","short_pith_number":"pith:SONQ2WMU","schema_version":"1.0","canonical_sha256":"939b0d5994c759a2a4010dbbb2aa4dbca6038cfd0544ccb3fc120932af8eb8cf","source":{"kind":"arxiv","id":"2108.02458","version":1},"attestation_state":"computed","paper":{"title":"Proof of convergence of LoRaWAN model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Andrea Zanella, Davide Magrin, Martina Capuzzo, Michele Zorzi","submitted_at":"2021-08-05T08:49:02Z","abstract_excerpt":"In this document, we prove the convergence of the model proposed in [1], which aims at estimating the LoRaWAN network performance in a single-gateway scenario. First, we provide an analytical proof of the existence of a fixed point solution for such a system. Then, we report experimental results, showing that the system of the two inter-dependent equations provided by the model can be solved through fixed-point iterations, and that a limited number of iterations is enough to reach convergence."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2108.02458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2021-08-05T08:49:02Z","cross_cats_sorted":[],"title_canon_sha256":"c733dfe3c0b7e49055fa82398b48af0d38d55a97b240574043a5cf1d57302a68","abstract_canon_sha256":"cab2f07f6e638f1d3bc1963017eadc8486f49e3fd4e0790661f15725d9b304d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:03:33.201292Z","signature_b64":"NwablgMCrR99hTkx4mWBptpdbIw/Hat1abYkFqtzgr9q2TvYYRi4st9mI9QkwNYXZ+UPGd8KfHQmZWefT80rDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"939b0d5994c759a2a4010dbbb2aa4dbca6038cfd0544ccb3fc120932af8eb8cf","last_reissued_at":"2026-07-05T03:03:33.200814Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:03:33.200814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proof of convergence of LoRaWAN model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Andrea Zanella, Davide Magrin, Martina Capuzzo, Michele Zorzi","submitted_at":"2021-08-05T08:49:02Z","abstract_excerpt":"In this document, we prove the convergence of the model proposed in [1], which aims at estimating the LoRaWAN network performance in a single-gateway scenario. First, we provide an analytical proof of the existence of a fixed point solution for such a system. Then, we report experimental results, showing that the system of the two inter-dependent equations provided by the model can be solved through fixed-point iterations, and that a limited number of iterations is enough to reach convergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.02458","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.02458/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2108.02458","created_at":"2026-07-05T03:03:33.200873+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.02458v1","created_at":"2026-07-05T03:03:33.200873+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.02458","created_at":"2026-07-05T03:03:33.200873+00:00"},{"alias_kind":"pith_short_12","alias_value":"SONQ2WMUY5M2","created_at":"2026-07-05T03:03:33.200873+00:00"},{"alias_kind":"pith_short_16","alias_value":"SONQ2WMUY5M2FJAB","created_at":"2026-07-05T03:03:33.200873+00:00"},{"alias_kind":"pith_short_8","alias_value":"SONQ2WMU","created_at":"2026-07-05T03:03:33.200873+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS","json":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS.json","graph_json":"https://pith.science/api/pith-number/SONQ2WMUY5M2FJABBW53FKSNXS/graph.json","events_json":"https://pith.science/api/pith-number/SONQ2WMUY5M2FJABBW53FKSNXS/events.json","paper":"https://pith.science/paper/SONQ2WMU"},"agent_actions":{"view_html":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS","download_json":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS.json","view_paper":"https://pith.science/paper/SONQ2WMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.02458&json=true","fetch_graph":"https://pith.science/api/pith-number/SONQ2WMUY5M2FJABBW53FKSNXS/graph.json","fetch_events":"https://pith.science/api/pith-number/SONQ2WMUY5M2FJABBW53FKSNXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS/action/storage_attestation","attest_author":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS/action/author_attestation","sign_citation":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS/action/citation_signature","submit_replication":"https://pith.science/pith/SONQ2WMUY5M2FJABBW53FKSNXS/action/replication_record"}},"created_at":"2026-07-05T03:03:33.200873+00:00","updated_at":"2026-07-05T03:03:33.200873+00:00"}