{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:FKZNEUNKNF4LDZETEDFHB24ZZH","short_pith_number":"pith:FKZNEUNK","schema_version":"1.0","canonical_sha256":"2ab2d251aa6978b1e49320ca70eb99c9d9ff27a3ea2c726732ce7057c0b5e768","source":{"kind":"arxiv","id":"0710.5272","version":1},"attestation_state":"computed","paper":{"title":"Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison","license":"","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Cristina Tablino Possio","submitted_at":"2007-10-28T09:22:14Z","abstract_excerpt":"The paper analyzes and compares some spectral filtering methods as truncated singular/eigen-value decompositions and Tikhonov/Re-blurring regularizations in the case of the recently proposed Reflective [M.K. Ng, R.H. Chan, and W.C. Tang, A fast algorithm for deblurring models with Neumann boundary conditions, SIAM J. Sci. Comput., 21 (1999), no. 3, pp.851-866] and Anti-Reflective [S. Serra Capizzano, A note on anti-reflective boundary conditions and fast deblurring models, SIAM J. Sci. Comput., 25-3 (2003), pp. 1307-1325] boundary conditions. We give numerical evidence to the fact that spectra"},"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":"0710.5272","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NA","submitted_at":"2007-10-28T09:22:14Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ed6f348504df9bf8442a4cfc2b78678db64865f928fbb8c6a108449c3c6bec31","abstract_canon_sha256":"5cf8b05c39886315a538a45642d76473827cdaaa5854c0593f38010aa42c45dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T22:06:02.965118Z","signature_b64":"gEMfai8YBfXSVjlV0rytpF0qqCkGgPxDP5irkpsXhohD07UUdKmR1a2TU1u+Pe5TsV8dgiy+4TTCjVY5EdWrDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ab2d251aa6978b1e49320ca70eb99c9d9ff27a3ea2c726732ce7057c0b5e768","last_reissued_at":"2026-06-03T22:06:02.964705Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T22:06:02.964705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison","license":"","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Cristina Tablino Possio","submitted_at":"2007-10-28T09:22:14Z","abstract_excerpt":"The paper analyzes and compares some spectral filtering methods as truncated singular/eigen-value decompositions and Tikhonov/Re-blurring regularizations in the case of the recently proposed Reflective [M.K. Ng, R.H. Chan, and W.C. Tang, A fast algorithm for deblurring models with Neumann boundary conditions, SIAM J. Sci. Comput., 21 (1999), no. 3, pp.851-866] and Anti-Reflective [S. Serra Capizzano, A note on anti-reflective boundary conditions and fast deblurring models, SIAM J. Sci. Comput., 25-3 (2003), pp. 1307-1325] boundary conditions. We give numerical evidence to the fact that spectra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5272","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/0710.5272/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":"0710.5272","created_at":"2026-06-03T22:06:02.964756+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.5272v1","created_at":"2026-06-03T22:06:02.964756+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5272","created_at":"2026-06-03T22:06:02.964756+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKZNEUNKNF4L","created_at":"2026-06-03T22:06:02.964756+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKZNEUNKNF4LDZET","created_at":"2026-06-03T22:06:02.964756+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKZNEUNK","created_at":"2026-06-03T22:06:02.964756+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/FKZNEUNKNF4LDZETEDFHB24ZZH","json":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH.json","graph_json":"https://pith.science/api/pith-number/FKZNEUNKNF4LDZETEDFHB24ZZH/graph.json","events_json":"https://pith.science/api/pith-number/FKZNEUNKNF4LDZETEDFHB24ZZH/events.json","paper":"https://pith.science/paper/FKZNEUNK"},"agent_actions":{"view_html":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH","download_json":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH.json","view_paper":"https://pith.science/paper/FKZNEUNK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.5272&json=true","fetch_graph":"https://pith.science/api/pith-number/FKZNEUNKNF4LDZETEDFHB24ZZH/graph.json","fetch_events":"https://pith.science/api/pith-number/FKZNEUNKNF4LDZETEDFHB24ZZH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH/action/storage_attestation","attest_author":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH/action/author_attestation","sign_citation":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH/action/citation_signature","submit_replication":"https://pith.science/pith/FKZNEUNKNF4LDZETEDFHB24ZZH/action/replication_record"}},"created_at":"2026-06-03T22:06:02.964756+00:00","updated_at":"2026-06-03T22:06:02.964756+00:00"}