{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:EHINI6TGPCX72S4JESZ6VYAF4X","short_pith_number":"pith:EHINI6TG","schema_version":"1.0","canonical_sha256":"21d0d47a6678affd4b8924b3eae005e5e3ae36c9be20340027728d850a007bfd","source":{"kind":"arxiv","id":"1111.3728","version":3},"attestation_state":"computed","paper":{"title":"Variability Aware Network Utility Maximization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.OC"],"primary_cat":"cs.SY","authors_text":"Gustavo de Veciana, Vinay Joseph","submitted_at":"2011-11-16T08:30:07Z","abstract_excerpt":"Network Utility Maximization (NUM) provides the key conceptual framework to study resource allocation amongst a collection of users/entities across disciplines as diverse as economics, law and engineering. In network engineering, this framework has been particularly insightful towards understanding how Internet protocols allocate bandwidth, and motivated diverse research on distributed mechanisms to maximize network utility while incorporating new relevant constraints, on energy/power, storage, stability, etc., for systems ranging from communication networks to the smart-grid. However when the"},"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":"1111.3728","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2011-11-16T08:30:07Z","cross_cats_sorted":["cs.NI","math.OC"],"title_canon_sha256":"8ee0e01bb4b792ab8ad9e8a9003de69b7d2707d46b3e5157df772af15701040b","abstract_canon_sha256":"caa6933c2bab99167af85b95d9e36bfbab1e5ef4888c5986ea3f4d6af437427f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:34.584833Z","signature_b64":"V4qRakiGiThUWpzaX9bCPVmausIgitL/TRwH+yabiABoy2w+hrVRUgf7xWblM7XmvimCebz/5BlT+wZH/JQRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21d0d47a6678affd4b8924b3eae005e5e3ae36c9be20340027728d850a007bfd","last_reissued_at":"2026-05-18T02:21:34.584269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:34.584269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variability Aware Network Utility Maximization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.OC"],"primary_cat":"cs.SY","authors_text":"Gustavo de Veciana, Vinay Joseph","submitted_at":"2011-11-16T08:30:07Z","abstract_excerpt":"Network Utility Maximization (NUM) provides the key conceptual framework to study resource allocation amongst a collection of users/entities across disciplines as diverse as economics, law and engineering. In network engineering, this framework has been particularly insightful towards understanding how Internet protocols allocate bandwidth, and motivated diverse research on distributed mechanisms to maximize network utility while incorporating new relevant constraints, on energy/power, storage, stability, etc., for systems ranging from communication networks to the smart-grid. However when the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3728","kind":"arxiv","version":3},"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":"1111.3728","created_at":"2026-05-18T02:21:34.584364+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.3728v3","created_at":"2026-05-18T02:21:34.584364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3728","created_at":"2026-05-18T02:21:34.584364+00:00"},{"alias_kind":"pith_short_12","alias_value":"EHINI6TGPCX7","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"EHINI6TGPCX72S4J","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"EHINI6TG","created_at":"2026-05-18T12:26:28.662955+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/EHINI6TGPCX72S4JESZ6VYAF4X","json":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X.json","graph_json":"https://pith.science/api/pith-number/EHINI6TGPCX72S4JESZ6VYAF4X/graph.json","events_json":"https://pith.science/api/pith-number/EHINI6TGPCX72S4JESZ6VYAF4X/events.json","paper":"https://pith.science/paper/EHINI6TG"},"agent_actions":{"view_html":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X","download_json":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X.json","view_paper":"https://pith.science/paper/EHINI6TG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.3728&json=true","fetch_graph":"https://pith.science/api/pith-number/EHINI6TGPCX72S4JESZ6VYAF4X/graph.json","fetch_events":"https://pith.science/api/pith-number/EHINI6TGPCX72S4JESZ6VYAF4X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X/action/storage_attestation","attest_author":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X/action/author_attestation","sign_citation":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X/action/citation_signature","submit_replication":"https://pith.science/pith/EHINI6TGPCX72S4JESZ6VYAF4X/action/replication_record"}},"created_at":"2026-05-18T02:21:34.584364+00:00","updated_at":"2026-05-18T02:21:34.584364+00:00"}