{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:32EI6HFBAAWJ5KY2DQXTO75HFQ","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":"032118323665ecb4858af348bc746d1af570b48822bca5c112aae06fdc4588b8","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-11-09T18:38:41Z","title_canon_sha256":"417224736d616e4fb4b6d2ea9713969d325c9a997352f37e4b62217559e087b0"},"schema_version":"1.0","source":{"id":"1411.2584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2584","created_at":"2026-05-18T02:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2584v1","created_at":"2026-05-18T02:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2584","created_at":"2026-05-18T02:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"32EI6HFBAAWJ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"32EI6HFBAAWJ5KY2","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"32EI6HFB","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:ef915a04c0c2e16e36790c2d79e3a0b16f711fdc285a1eea5ab75d8a9bbdc8a6","target":"graph","created_at":"2026-05-18T02:37:53Z","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":"In this paper, we present some applications of the multivariate sampling Kantorovich operators $S_w$ to seismic engineering. The mathematical theory of these operators, both in the space of continuous functions and in Orlicz spaces, show how it is possible to approximate/reconstruct multivariate signals, such as images. In particular, to obtain applications for thermographic images a mathematical algorithm is developed using MATLAB and matrix calculus. The setting of Orlicz spaces is important since allow us to reconstruct not necessarily continuous signals by means of $S_w$. The reconstructio","authors_text":"Anna Maria Minotti, Danilo Costarelli, Federico Cluni, Gianluca Vinti","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-11-09T18:38:41Z","title":"Applications of sampling Kantorovich operators to thermographic images for seismic engineering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2584","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":"sha256:28eeead1913cc53a436a1ad27aec96204ba35769558ac86eaad51bca13881a61","target":"record","created_at":"2026-05-18T02:37:53Z","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":"032118323665ecb4858af348bc746d1af570b48822bca5c112aae06fdc4588b8","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2014-11-09T18:38:41Z","title_canon_sha256":"417224736d616e4fb4b6d2ea9713969d325c9a997352f37e4b62217559e087b0"},"schema_version":"1.0","source":{"id":"1411.2584","kind":"arxiv","version":1}},"canonical_sha256":"de888f1ca1002c9eab1a1c2f377fa72c3ebf08aeec332da16d394eb678825a2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de888f1ca1002c9eab1a1c2f377fa72c3ebf08aeec332da16d394eb678825a2a","first_computed_at":"2026-05-18T02:37:53.494913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:53.494913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PXn86ODCGh8BcqhXNBN881ZqRYhU4/KQX9ryEvBFd8Txvm3ytT6NPQp0Kld6tiaZNAEt8NR7AJwg2DLQEoh6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:53.495575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28eeead1913cc53a436a1ad27aec96204ba35769558ac86eaad51bca13881a61","sha256:ef915a04c0c2e16e36790c2d79e3a0b16f711fdc285a1eea5ab75d8a9bbdc8a6"],"state_sha256":"14fe2d59685de3a7bbea1f0d5324228e8c5981ae54795ff4fffcd741cdbe6f1f"}