{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DPTLZDC2DTJD2CLT32JR5AXAFI","short_pith_number":"pith:DPTLZDC2","schema_version":"1.0","canonical_sha256":"1be6bc8c5a1cd23d0973de931e82e02a3563b1f58a3a211cb5093ad9eec97e03","source":{"kind":"arxiv","id":"1201.3740","version":2},"attestation_state":"computed","paper":{"title":"Contractive Interference Functions and Rates of Convergence of Distributed Power Control Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.IT"],"primary_cat":"cs.IT","authors_text":"Hamid Reza Feyzmahdavian, Mikael Johansson, Themistoklis Charalambous","submitted_at":"2012-01-18T10:19:15Z","abstract_excerpt":"The standard interference functions introduced by Yates have been very influential on the analysis and design of distributed power control laws. While powerful and versatile, the framework has some drawbacks: the existence of fixed-points has to be established separately, and no guarantees are given on the rate of convergence of the iterates. This paper introduces contractive interference functions, a slight reformulation of the standard interference functions that guarantees the existence and uniqueness of fixed-points along with linear convergence of iterates. We show that many power control"},"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":"1201.3740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-01-18T10:19:15Z","cross_cats_sorted":["cs.SY","math.IT"],"title_canon_sha256":"1aecd11c91e2fc6122b348a733e34032838cb32c0aae5a3eef2e1709d28878e8","abstract_canon_sha256":"56669135e81350d9eb638c7595e08358b1b49f9487d3ad268d113f86facf697c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:55.162771Z","signature_b64":"9cRK3JGaPHLwGHzzSJo0GQD6X8q6uhzWZs2VenfD1Kb7aENh9dWWpFQRyHpipsAR4eiW9QGZBioOeSluA/4fCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1be6bc8c5a1cd23d0973de931e82e02a3563b1f58a3a211cb5093ad9eec97e03","last_reissued_at":"2026-05-18T02:48:55.162210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:55.162210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contractive Interference Functions and Rates of Convergence of Distributed Power Control Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.IT"],"primary_cat":"cs.IT","authors_text":"Hamid Reza Feyzmahdavian, Mikael Johansson, Themistoklis Charalambous","submitted_at":"2012-01-18T10:19:15Z","abstract_excerpt":"The standard interference functions introduced by Yates have been very influential on the analysis and design of distributed power control laws. While powerful and versatile, the framework has some drawbacks: the existence of fixed-points has to be established separately, and no guarantees are given on the rate of convergence of the iterates. This paper introduces contractive interference functions, a slight reformulation of the standard interference functions that guarantees the existence and uniqueness of fixed-points along with linear convergence of iterates. We show that many power control"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3740","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1201.3740","created_at":"2026-05-18T02:48:55.162321+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.3740v2","created_at":"2026-05-18T02:48:55.162321+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3740","created_at":"2026-05-18T02:48:55.162321+00:00"},{"alias_kind":"pith_short_12","alias_value":"DPTLZDC2DTJD","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DPTLZDC2DTJD2CLT","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DPTLZDC2","created_at":"2026-05-18T12:27:04.183437+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/DPTLZDC2DTJD2CLT32JR5AXAFI","json":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI.json","graph_json":"https://pith.science/api/pith-number/DPTLZDC2DTJD2CLT32JR5AXAFI/graph.json","events_json":"https://pith.science/api/pith-number/DPTLZDC2DTJD2CLT32JR5AXAFI/events.json","paper":"https://pith.science/paper/DPTLZDC2"},"agent_actions":{"view_html":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI","download_json":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI.json","view_paper":"https://pith.science/paper/DPTLZDC2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.3740&json=true","fetch_graph":"https://pith.science/api/pith-number/DPTLZDC2DTJD2CLT32JR5AXAFI/graph.json","fetch_events":"https://pith.science/api/pith-number/DPTLZDC2DTJD2CLT32JR5AXAFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI/action/storage_attestation","attest_author":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI/action/author_attestation","sign_citation":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI/action/citation_signature","submit_replication":"https://pith.science/pith/DPTLZDC2DTJD2CLT32JR5AXAFI/action/replication_record"}},"created_at":"2026-05-18T02:48:55.162321+00:00","updated_at":"2026-05-18T02:48:55.162321+00:00"}