{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LOEX6A7ZY5R6BAILXTHWBQJ7ZR","short_pith_number":"pith:LOEX6A7Z","schema_version":"1.0","canonical_sha256":"5b897f03f9c763e0810bbccf60c13fcc6414c47c0cb707aeb6b9587a1615a464","source":{"kind":"arxiv","id":"1306.6739","version":1},"attestation_state":"computed","paper":{"title":"A New Operator and Method for Solving Interval Linear Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Milan Hlad\\'ik","submitted_at":"2013-06-28T07:24:52Z","abstract_excerpt":"We deal with interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel method. Also, based on the new operator and properties of the well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach overcomes some classical methods with respect to both time and sharpness of enclosures."},"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":"1306.6739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-06-28T07:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"e205a117869ab8fdf64b66c8a739dc9551757651afb91c3d343f3723037143e7","abstract_canon_sha256":"f14d90f11e4a788cee9a0b2e0d51e30bbff1fe6178fa1ec2db3107adab959b8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:15.970282Z","signature_b64":"Qitr3L+0crux9Ox+mY0rQYUSjddSIAvoG+mgfhyFNIB+7K/6MnlPt7uTWVEl/81W40mUwzrFYWM1B4g99mZWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b897f03f9c763e0810bbccf60c13fcc6414c47c0cb707aeb6b9587a1615a464","last_reissued_at":"2026-05-17T23:45:15.969620Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:15.969620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A New Operator and Method for Solving Interval Linear Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Milan Hlad\\'ik","submitted_at":"2013-06-28T07:24:52Z","abstract_excerpt":"We deal with interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel method. Also, based on the new operator and properties of the well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach overcomes some classical methods with respect to both time and sharpness of enclosures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6739","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":""},"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":"1306.6739","created_at":"2026-05-17T23:45:15.969733+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.6739v1","created_at":"2026-05-17T23:45:15.969733+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6739","created_at":"2026-05-17T23:45:15.969733+00:00"},{"alias_kind":"pith_short_12","alias_value":"LOEX6A7ZY5R6","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LOEX6A7ZY5R6BAIL","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LOEX6A7Z","created_at":"2026-05-18T12:27:51.066281+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/LOEX6A7ZY5R6BAILXTHWBQJ7ZR","json":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR.json","graph_json":"https://pith.science/api/pith-number/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/graph.json","events_json":"https://pith.science/api/pith-number/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/events.json","paper":"https://pith.science/paper/LOEX6A7Z"},"agent_actions":{"view_html":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR","download_json":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR.json","view_paper":"https://pith.science/paper/LOEX6A7Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.6739&json=true","fetch_graph":"https://pith.science/api/pith-number/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/graph.json","fetch_events":"https://pith.science/api/pith-number/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/action/storage_attestation","attest_author":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/action/author_attestation","sign_citation":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/action/citation_signature","submit_replication":"https://pith.science/pith/LOEX6A7ZY5R6BAILXTHWBQJ7ZR/action/replication_record"}},"created_at":"2026-05-17T23:45:15.969733+00:00","updated_at":"2026-05-17T23:45:15.969733+00:00"}