{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AFIDZH4DS432SO6CVFZ2MGI3S6","short_pith_number":"pith:AFIDZH4D","schema_version":"1.0","canonical_sha256":"01503c9f839737a93bc2a973a6191b97945cc82ad6c89c0f50f5825e0177bc3c","source":{"kind":"arxiv","id":"1702.08649","version":3},"attestation_state":"computed","paper":{"title":"Foundations of gauge and perspective duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alexandre Y. Aravkin, Dmitriy Drusvyatskiy, James V. Burke, Kellie MacPhee, Michael P. Friedlander","submitted_at":"2017-02-28T05:28:31Z","abstract_excerpt":"We revisit the foundations of gauge duality and demonstrate that it can be explained using a modern approach to duality based on a perturbation framework. We therefore put gauge duality and Fenchel-Rockafellar duality on equal footing, including explaining gauge dual variables as sensitivity measures, and showing how to recover primal solutions from those of the gauge dual. This vantage point allows a direct proof that optimal solutions of the Fenchel-Rockafellar dual of the gauge dual are precisely the primal solutions rescaled by the optimal value. We extend the gauge duality framework to th"},"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":"1702.08649","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-28T05:28:31Z","cross_cats_sorted":[],"title_canon_sha256":"38eb50c311d4a8982080aa421c079a9d7443f2e0032135fb1861847224a1e116","abstract_canon_sha256":"95cb103536f63c80ac4fc81ffb79f22f11a24e6a5a1a01dd3e67d05e98c3b925"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:58.759610Z","signature_b64":"jntzmlUOxb2jI05QGyEZExMCWNu840M976Z2H8cGY8/ufdVXs0Hh6PQVxU94e1X2fhnjp6E/XiBipYhKvjqHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01503c9f839737a93bc2a973a6191b97945cc82ad6c89c0f50f5825e0177bc3c","last_reissued_at":"2026-05-18T00:12:58.759081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:58.759081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Foundations of gauge and perspective duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alexandre Y. Aravkin, Dmitriy Drusvyatskiy, James V. Burke, Kellie MacPhee, Michael P. Friedlander","submitted_at":"2017-02-28T05:28:31Z","abstract_excerpt":"We revisit the foundations of gauge duality and demonstrate that it can be explained using a modern approach to duality based on a perturbation framework. We therefore put gauge duality and Fenchel-Rockafellar duality on equal footing, including explaining gauge dual variables as sensitivity measures, and showing how to recover primal solutions from those of the gauge dual. This vantage point allows a direct proof that optimal solutions of the Fenchel-Rockafellar dual of the gauge dual are precisely the primal solutions rescaled by the optimal value. We extend the gauge duality framework to th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08649","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":"1702.08649","created_at":"2026-05-18T00:12:58.759160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.08649v3","created_at":"2026-05-18T00:12:58.759160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08649","created_at":"2026-05-18T00:12:58.759160+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFIDZH4DS432","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFIDZH4DS432SO6C","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFIDZH4D","created_at":"2026-05-18T12:31:05.417338+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/AFIDZH4DS432SO6CVFZ2MGI3S6","json":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6.json","graph_json":"https://pith.science/api/pith-number/AFIDZH4DS432SO6CVFZ2MGI3S6/graph.json","events_json":"https://pith.science/api/pith-number/AFIDZH4DS432SO6CVFZ2MGI3S6/events.json","paper":"https://pith.science/paper/AFIDZH4D"},"agent_actions":{"view_html":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6","download_json":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6.json","view_paper":"https://pith.science/paper/AFIDZH4D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.08649&json=true","fetch_graph":"https://pith.science/api/pith-number/AFIDZH4DS432SO6CVFZ2MGI3S6/graph.json","fetch_events":"https://pith.science/api/pith-number/AFIDZH4DS432SO6CVFZ2MGI3S6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6/action/storage_attestation","attest_author":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6/action/author_attestation","sign_citation":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6/action/citation_signature","submit_replication":"https://pith.science/pith/AFIDZH4DS432SO6CVFZ2MGI3S6/action/replication_record"}},"created_at":"2026-05-18T00:12:58.759160+00:00","updated_at":"2026-05-18T00:12:58.759160+00:00"}