{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XW7LE6PTCMHN4I4RIQUBUMSDZT","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":"9aa656a1eeb3d69e80a7b6e56d2c95ed7300114dfb4543e3eed1fa7700201ea3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T13:09:49Z","title_canon_sha256":"43eca273ffcf072152aed4a0c2f268cd0af81e0adfb9e7f56d16e1822d1d3ad2"},"schema_version":"1.0","source":{"id":"1501.01825","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01825","created_at":"2026-05-18T02:19:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01825v3","created_at":"2026-05-18T02:19:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01825","created_at":"2026-05-18T02:19:00Z"},{"alias_kind":"pith_short_12","alias_value":"XW7LE6PTCMHN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XW7LE6PTCMHN4I4R","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XW7LE6PT","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:6197427c92c2e07ae5cc27fa4c9ef65ccb60b31e79b6b87f16acec7ed41a1305","target":"graph","created_at":"2026-05-18T02:19:00Z","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 problem of resolving the fine details of a signal from its coarse scale measurements or, as it is commonly referred to in the literature, the super-resolution problem arises naturally in engineering and physics in a variety of settings. We suggest a unified convex optimization approach for super-resolution. The key is the construction of an interpolating polynomial based on localized kernels. We also show that the localized kernels act as the connecting thread to another wide-spread problem of stream of pulses.","authors_text":"Arie Feuer, Shai Dekel, Tamir Bendory","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T13:09:49Z","title":"Unified Convex Optimization Approach to Super-Resolution Based on Localized Kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01825","kind":"arxiv","version":3},"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:d0fe0bc9034d4a275b70727e864f9e10969df4ed9f8a905498dd427e22b243cb","target":"record","created_at":"2026-05-18T02:19:00Z","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":"9aa656a1eeb3d69e80a7b6e56d2c95ed7300114dfb4543e3eed1fa7700201ea3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-08T13:09:49Z","title_canon_sha256":"43eca273ffcf072152aed4a0c2f268cd0af81e0adfb9e7f56d16e1822d1d3ad2"},"schema_version":"1.0","source":{"id":"1501.01825","kind":"arxiv","version":3}},"canonical_sha256":"bdbeb279f3130ede239144281a3243cccff77bd7726554fd08b031a295e16983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdbeb279f3130ede239144281a3243cccff77bd7726554fd08b031a295e16983","first_computed_at":"2026-05-18T02:19:00.511725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:00.511725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F9Ye0dn8FK+vYCu7bCLQb2miRHtlr3xflrQLtZ6Abs5N6poI2u/V+sfM6WM+oSu7X3vG8VXRoHev6PJF1Ch2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:00.512252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01825","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0fe0bc9034d4a275b70727e864f9e10969df4ed9f8a905498dd427e22b243cb","sha256:6197427c92c2e07ae5cc27fa4c9ef65ccb60b31e79b6b87f16acec7ed41a1305"],"state_sha256":"fe71eccbf9db5c88a48b4df2f7f92b762a174e49b2ff3b6aba6ba38a25a05096"}