{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QUIPTKZSW3UMO2RCPU4OW27OKZ","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":"c964d4eb293416d9668a138ccad638a8fb28bd0e0856acb558b2060826c0a23d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T13:55:02Z","title_canon_sha256":"f45060f3e4a997d43c103fcc6588eb33eaf18795bcfcebc06dea933ac85167dc"},"schema_version":"1.0","source":{"id":"1610.09215","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09215","created_at":"2026-05-18T00:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09215v2","created_at":"2026-05-18T00:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09215","created_at":"2026-05-18T00:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"QUIPTKZSW3UM","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QUIPTKZSW3UMO2RC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QUIPTKZS","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:745d5e01a5d5781eed84beb30f34c7880bebe744dfe2dfecf2530400bc6869f6","target":"graph","created_at":"2026-05-18T00:58:50Z","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 paper, we study slotted Spread Spectrum Aloha with Successive Interference Cancellation at the receiver over a Gaussian channel. We consider a decentralized power control setting in which each user chooses its transmit power independently at random according to a power distribution with continuous support. In this setting, we derive an analytical expression for the expected interference power experienced by a user. This allows us to derive analytically the power distribution that, during the Successive Interference Cancellation process leads to a constant signal to noise plus interfere","authors_text":"Francisco L\\'azaro","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T13:55:02Z","title":"Decentralized Power Control for Slotted Spread Spectrum Aloha with Successive Interference Cancellation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09215","kind":"arxiv","version":2},"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":"sha256:28ba3b216858012824c0e22f516930a0fb7d88faa84044502e597eb258a0616b","target":"record","created_at":"2026-05-18T00:58:50Z","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":"c964d4eb293416d9668a138ccad638a8fb28bd0e0856acb558b2060826c0a23d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-28T13:55:02Z","title_canon_sha256":"f45060f3e4a997d43c103fcc6588eb33eaf18795bcfcebc06dea933ac85167dc"},"schema_version":"1.0","source":{"id":"1610.09215","kind":"arxiv","version":2}},"canonical_sha256":"8510f9ab32b6e8c76a227d38eb6bee5648c4feb6b4a2faa06f9d3af49bb58575","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8510f9ab32b6e8c76a227d38eb6bee5648c4feb6b4a2faa06f9d3af49bb58575","first_computed_at":"2026-05-18T00:58:50.688728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:50.688728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DmsLT69S/Uuk5+pfT1NGcBARM8jF9KoqqHFXNElg0SJ4SzeC7WarwghyiSmhnBc0+Jr7zm4B+2qRjhUfcWUqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:50.689261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09215","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28ba3b216858012824c0e22f516930a0fb7d88faa84044502e597eb258a0616b","sha256:745d5e01a5d5781eed84beb30f34c7880bebe744dfe2dfecf2530400bc6869f6"],"state_sha256":"cf46fd0d88e4946fb3b46360b575315b207acbb9c7283dafc0a8c8134951f085"}