{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XQZQVPUICLB6ZPJY4VQJGHK36N","short_pith_number":"pith:XQZQVPUI","canonical_record":{"source":{"id":"2008.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-08-06T14:42:24Z","cross_cats_sorted":[],"title_canon_sha256":"98639d0190d038679458f79a5f4e48b0ffdb5e4e40dcb39426c0fd490a434109","abstract_canon_sha256":"3c881ca10ed436c0b22bdb27c9b52c8012fd5ad127e5b3c8ae16305006f2764c"},"schema_version":"1.0"},"canonical_sha256":"bc330abe8812c3ecbd38e560931d5bf35d103ddc7923e4a001c5cc0089e0e611","source":{"kind":"arxiv","id":"2008.03140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03140","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03140v1","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03140","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_12","alias_value":"XQZQVPUICLB6","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_16","alias_value":"XQZQVPUICLB6ZPJY","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_8","alias_value":"XQZQVPUI","created_at":"2026-07-05T01:25:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XQZQVPUICLB6ZPJY4VQJGHK36N","target":"record","payload":{"canonical_record":{"source":{"id":"2008.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-08-06T14:42:24Z","cross_cats_sorted":[],"title_canon_sha256":"98639d0190d038679458f79a5f4e48b0ffdb5e4e40dcb39426c0fd490a434109","abstract_canon_sha256":"3c881ca10ed436c0b22bdb27c9b52c8012fd5ad127e5b3c8ae16305006f2764c"},"schema_version":"1.0"},"canonical_sha256":"bc330abe8812c3ecbd38e560931d5bf35d103ddc7923e4a001c5cc0089e0e611","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:25:31.141420Z","signature_b64":"4bfQauumWA6Vt2fXUWvgasuqQCS/J+0dz0LHk0L1mingrBdUM/ftxbkQ7VLkwTTGzAdua3N9cBh0t4AibdLLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc330abe8812c3ecbd38e560931d5bf35d103ddc7923e4a001c5cc0089e0e611","last_reissued_at":"2026-07-05T01:25:31.140975Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:25:31.140975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.03140","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":"2026-07-05T01:25:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"15V/Em3dFAjfHzWmma4s2Y3EQQ0lgI+5/+lQNsmXcSn7TmTK+NFXLmckOT+TtSnsY6lQWaUw+tQEOnb8nuqVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T06:56:33.243727Z"},"content_sha256":"e4cc5a0b7a706a67ec2e512d9e634ba6339eeb8c40be289a90f0824e9c7b5ad9","schema_version":"1.0","event_id":"sha256:e4cc5a0b7a706a67ec2e512d9e634ba6339eeb8c40be289a90f0824e9c7b5ad9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XQZQVPUICLB6ZPJY4VQJGHK36N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical model of LoRaWAN channel access with capture effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Andrey Lyakhov, Dmitry Bankov, Evgeny Khorov","submitted_at":"2020-08-06T14:42:24Z","abstract_excerpt":"LoRaWAN is a promising low power long range wireless communications technology for the Internet of Things. An important feature of LoRaWAN gateways is related to so-called capture effect: under some conditions the gateway may correctly receive a frame even if it overlaps with other ones. In this paper, we develop a pioneering mathematical model of a LoRaWAN network which allows finding network capacity and transmission reliability taking into account the capture effect."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03140","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/2008.03140/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:25:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wpwph6FhSrlweio/c0ulFb7GHiIBcK1OtG6Jb2VZrIrEBbkUiLxbU5yZ565GDd46ija4u2w0UjCGEA7/lHvaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T06:56:33.244493Z"},"content_sha256":"7931149916a8a18b50db0d6a53800631d84699bf2c4b45ee0cb79ab58a383045","schema_version":"1.0","event_id":"sha256:7931149916a8a18b50db0d6a53800631d84699bf2c4b45ee0cb79ab58a383045"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/bundle.json","state_url":"https://pith.science/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/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":"2026-08-01T06:56:33Z","links":{"resolver":"https://pith.science/pith/XQZQVPUICLB6ZPJY4VQJGHK36N","bundle":"https://pith.science/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/bundle.json","state":"https://pith.science/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XQZQVPUICLB6ZPJY4VQJGHK36N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XQZQVPUICLB6ZPJY4VQJGHK36N","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":"3c881ca10ed436c0b22bdb27c9b52c8012fd5ad127e5b3c8ae16305006f2764c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-08-06T14:42:24Z","title_canon_sha256":"98639d0190d038679458f79a5f4e48b0ffdb5e4e40dcb39426c0fd490a434109"},"schema_version":"1.0","source":{"id":"2008.03140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03140","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03140v1","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03140","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_12","alias_value":"XQZQVPUICLB6","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_16","alias_value":"XQZQVPUICLB6ZPJY","created_at":"2026-07-05T01:25:31Z"},{"alias_kind":"pith_short_8","alias_value":"XQZQVPUI","created_at":"2026-07-05T01:25:31Z"}],"graph_snapshots":[{"event_id":"sha256:7931149916a8a18b50db0d6a53800631d84699bf2c4b45ee0cb79ab58a383045","target":"graph","created_at":"2026-07-05T01:25:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.03140/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"LoRaWAN is a promising low power long range wireless communications technology for the Internet of Things. An important feature of LoRaWAN gateways is related to so-called capture effect: under some conditions the gateway may correctly receive a frame even if it overlaps with other ones. In this paper, we develop a pioneering mathematical model of a LoRaWAN network which allows finding network capacity and transmission reliability taking into account the capture effect.","authors_text":"Andrey Lyakhov, Dmitry Bankov, Evgeny Khorov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-08-06T14:42:24Z","title":"Mathematical model of LoRaWAN channel access with capture effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03140","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:e4cc5a0b7a706a67ec2e512d9e634ba6339eeb8c40be289a90f0824e9c7b5ad9","target":"record","created_at":"2026-07-05T01:25:31Z","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":"3c881ca10ed436c0b22bdb27c9b52c8012fd5ad127e5b3c8ae16305006f2764c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-08-06T14:42:24Z","title_canon_sha256":"98639d0190d038679458f79a5f4e48b0ffdb5e4e40dcb39426c0fd490a434109"},"schema_version":"1.0","source":{"id":"2008.03140","kind":"arxiv","version":1}},"canonical_sha256":"bc330abe8812c3ecbd38e560931d5bf35d103ddc7923e4a001c5cc0089e0e611","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc330abe8812c3ecbd38e560931d5bf35d103ddc7923e4a001c5cc0089e0e611","first_computed_at":"2026-07-05T01:25:31.140975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:25:31.140975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4bfQauumWA6Vt2fXUWvgasuqQCS/J+0dz0LHk0L1mingrBdUM/ftxbkQ7VLkwTTGzAdua3N9cBh0t4AibdLLAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:25:31.141420Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.03140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4cc5a0b7a706a67ec2e512d9e634ba6339eeb8c40be289a90f0824e9c7b5ad9","sha256:7931149916a8a18b50db0d6a53800631d84699bf2c4b45ee0cb79ab58a383045"],"state_sha256":"60b5a4e67a966af484c94472b092038523b48e14bd2f8516d12ca51ff06c182e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52S4KYdX3D7QouhyS7P59Ohi6fXez39VSqPTLwd3v95rn8XewrJhkvAp67Ac9Vo4EFsh5OP6VFcwkFtIcd+pAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T06:56:33.250096Z","bundle_sha256":"235f9db2c812e5ac97299437d375def28caf1800fa314a8a546d84449b7deb61"}}