{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HMWP3A34OZ6AOEL2DJ5QOW6E4M","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":"bbe52d6bfb1b921ec0717e73f6724ddb8b889c14a4aa96a34b3e30a8a89237f2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-16T07:34:00Z","title_canon_sha256":"72a750f45f8bdfd930097b5e40d95de37cc47e57ae6f7ac1ce2542c54df74056"},"schema_version":"1.0","source":{"id":"1410.4319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4319","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4319v1","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4319","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"HMWP3A34OZ6A","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HMWP3A34OZ6AOEL2","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HMWP3A34","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:725c697591b5d2f5421aa5f278bcb98fd068d0600a9559de655772c96482189b","target":"graph","created_at":"2026-05-18T02:39:56Z","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":"The super-resolution theory developed recently by Cand\\`{e}s and Fernandes-Granda aims to recover fine details of a sparse frequency spectrum from coarse scale information only. The theory was then extended to the cases with compressive samples and/or multiple measurement vectors. However, the existing atomic norm (or total variation norm) techniques succeed only if the frequencies are sufficiently separated, prohibiting commonly known high resolution. In this paper, a reweighted atomic-norm minimization (RAM) approach is proposed which iteratively carries out atomic norm minimization (ANM) wi","authors_text":"Lihua Xie, Zai Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-16T07:34:00Z","title":"Achieving High Resolution for Super-resolution via Reweighted Atomic Norm Minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4319","kind":"arxiv","version":1},"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":"sha256:5eadce9e6742f8ce3dc25937683a7386c8d4c35590f20841e0a1255342bd9eb0","target":"record","created_at":"2026-05-18T02:39:56Z","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":"bbe52d6bfb1b921ec0717e73f6724ddb8b889c14a4aa96a34b3e30a8a89237f2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-16T07:34:00Z","title_canon_sha256":"72a750f45f8bdfd930097b5e40d95de37cc47e57ae6f7ac1ce2542c54df74056"},"schema_version":"1.0","source":{"id":"1410.4319","kind":"arxiv","version":1}},"canonical_sha256":"3b2cfd837c767c07117a1a7b075bc4e3107377e2aa52ce3d571a78257e71c0ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b2cfd837c767c07117a1a7b075bc4e3107377e2aa52ce3d571a78257e71c0ee","first_computed_at":"2026-05-18T02:39:56.437743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:56.437743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tGHfmlis2vxi0cQu1YmFZhtKafD+4uWjNY49389UiODhpL9bZndoPMaXFqV0DmoOt9dut3THCKDORjq9plkOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:56.438155Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eadce9e6742f8ce3dc25937683a7386c8d4c35590f20841e0a1255342bd9eb0","sha256:725c697591b5d2f5421aa5f278bcb98fd068d0600a9559de655772c96482189b"],"state_sha256":"53ddecd7f32512fd7f45bf2e385df313ce9b7f12f72fe6bd5e7a163c1da9cba1"}