{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:UOKBN6RB6YHNHTXIJJCEYEEQUF","short_pith_number":"pith:UOKBN6RB","schema_version":"1.0","canonical_sha256":"a39416fa21f60ed3cee84a444c1090a16aa88b4ed9a5ba1aec48a01f244018c9","source":{"kind":"arxiv","id":"2010.06959","version":1},"attestation_state":"computed","paper":{"title":"Alternating Minimization Based First-Order Method for the Wireless Sensor Network Localization Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.NI","authors_text":"Eyal Gur, Shimrit Shtern, Shoham Sabach","submitted_at":"2020-10-14T11:09:47Z","abstract_excerpt":"We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into an equivalent smooth and non-convex problem, which stands at the heart of our study. This paves the way to a new method which is globally convergent: not only does the sequence of objective function values converge, but the sequence of the location estimates also converges to a unique location that is a critical point of the corresponding (original) objectiv"},"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":"2010.06959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2020-10-14T11:09:47Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"624dc81084d0531ab4a77e8a8c71d91071c7deb5fc15878c975f0e7c2ebd49c6","abstract_canon_sha256":"9164f958f9c6e44a87d0f93b70a6b91bb6f0df3e4972e4b5f3bd556d70874ea1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:46.168107Z","signature_b64":"hhx0OOLRkW1OsZT8FqECA0DN3WAJGlO41KgGsuATPbO4PoVrijrftb8fIDP+eriqvP08vENpopNaeEV1XnwBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a39416fa21f60ed3cee84a444c1090a16aa88b4ed9a5ba1aec48a01f244018c9","last_reissued_at":"2026-07-05T02:02:46.167743Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:46.167743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Alternating Minimization Based First-Order Method for the Wireless Sensor Network Localization Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.NI","authors_text":"Eyal Gur, Shimrit Shtern, Shoham Sabach","submitted_at":"2020-10-14T11:09:47Z","abstract_excerpt":"We propose an algorithm for the Wireless Sensor Network localization problem, which is based on the well-known algorithmic framework of Alternating Minimization. We start with a non-smooth and non-convex minimization, and transform it into an equivalent smooth and non-convex problem, which stands at the heart of our study. This paves the way to a new method which is globally convergent: not only does the sequence of objective function values converge, but the sequence of the location estimates also converges to a unique location that is a critical point of the corresponding (original) objectiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.06959","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/2010.06959/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2010.06959","created_at":"2026-07-05T02:02:46.167799+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.06959v1","created_at":"2026-07-05T02:02:46.167799+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.06959","created_at":"2026-07-05T02:02:46.167799+00:00"},{"alias_kind":"pith_short_12","alias_value":"UOKBN6RB6YHN","created_at":"2026-07-05T02:02:46.167799+00:00"},{"alias_kind":"pith_short_16","alias_value":"UOKBN6RB6YHNHTXI","created_at":"2026-07-05T02:02:46.167799+00:00"},{"alias_kind":"pith_short_8","alias_value":"UOKBN6RB","created_at":"2026-07-05T02:02:46.167799+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/UOKBN6RB6YHNHTXIJJCEYEEQUF","json":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF.json","graph_json":"https://pith.science/api/pith-number/UOKBN6RB6YHNHTXIJJCEYEEQUF/graph.json","events_json":"https://pith.science/api/pith-number/UOKBN6RB6YHNHTXIJJCEYEEQUF/events.json","paper":"https://pith.science/paper/UOKBN6RB"},"agent_actions":{"view_html":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF","download_json":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF.json","view_paper":"https://pith.science/paper/UOKBN6RB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.06959&json=true","fetch_graph":"https://pith.science/api/pith-number/UOKBN6RB6YHNHTXIJJCEYEEQUF/graph.json","fetch_events":"https://pith.science/api/pith-number/UOKBN6RB6YHNHTXIJJCEYEEQUF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF/action/storage_attestation","attest_author":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF/action/author_attestation","sign_citation":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF/action/citation_signature","submit_replication":"https://pith.science/pith/UOKBN6RB6YHNHTXIJJCEYEEQUF/action/replication_record"}},"created_at":"2026-07-05T02:02:46.167799+00:00","updated_at":"2026-07-05T02:02:46.167799+00:00"}