{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:7XO3C4QHCWFVU3SHX6LDIXUDVU","short_pith_number":"pith:7XO3C4QH","schema_version":"1.0","canonical_sha256":"fdddb17207158b5a6e47bf96345e83ad20fe8d13d18c8e2425e3f8a7848e5a44","source":{"kind":"arxiv","id":"physics/9702021","version":2},"attestation_state":"computed","paper":{"title":"Simultaneously Dissipative Operators And The Infinitesimal Moore Effect In Interval Spaces","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A.N. Gorban, V.I. Verbitskii, Yu.I. Shokin","submitted_at":"1997-02-19T08:36:27Z","abstract_excerpt":"One of shortcomings of stepwise interval methods is the following. The intervals determining the solution of a system are often expanded in the course of time irrespective of the method and step used (the {\\em Moore effect}). We introduce the notion of general {\\em interval spaces} and study the infinitesimal Moore effect (IME) in these spaces. We obtain the local conditions of absence of the IME in terms of Jacobi matrices field. The relation between the absence of IME and simultaneous dissipativity of the Jacobi matrices is established. We study simultaneously dissipative operators in $\\Bbb{"},"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":"physics/9702021","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.comp-ph","submitted_at":"1997-02-19T08:36:27Z","cross_cats_sorted":[],"title_canon_sha256":"653b5cb97a8b71dd6bd6067e2ee83babc7c6cae2f44ec55f5deca609d1031d91","abstract_canon_sha256":"c968dce55a6056bdb09a720eee4b88651322b5095a7acf858e9ac0aeef8ba6d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:49.754549Z","signature_b64":"2nellUN6xEEVQA9RDTSLlm7kHhlVzQyVnhO0WvXQCvaojs7EsyX7gPNlpHhBmW3RLtWfoe7+F62XMlmrrumqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdddb17207158b5a6e47bf96345e83ad20fe8d13d18c8e2425e3f8a7848e5a44","last_reissued_at":"2026-05-18T04:00:49.753978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:49.753978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simultaneously Dissipative Operators And The Infinitesimal Moore Effect In Interval Spaces","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A.N. Gorban, V.I. Verbitskii, Yu.I. Shokin","submitted_at":"1997-02-19T08:36:27Z","abstract_excerpt":"One of shortcomings of stepwise interval methods is the following. The intervals determining the solution of a system are often expanded in the course of time irrespective of the method and step used (the {\\em Moore effect}). We introduce the notion of general {\\em interval spaces} and study the infinitesimal Moore effect (IME) in these spaces. We obtain the local conditions of absence of the IME in terms of Jacobi matrices field. The relation between the absence of IME and simultaneous dissipativity of the Jacobi matrices is established. We study simultaneously dissipative operators in $\\Bbb{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9702021","kind":"arxiv","version":2},"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":"physics/9702021","created_at":"2026-05-18T04:00:49.754049+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/9702021v2","created_at":"2026-05-18T04:00:49.754049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9702021","created_at":"2026-05-18T04:00:49.754049+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XO3C4QHCWFV","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XO3C4QHCWFVU3SH","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XO3C4QH","created_at":"2026-05-18T12:25:48.327863+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/7XO3C4QHCWFVU3SHX6LDIXUDVU","json":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU.json","graph_json":"https://pith.science/api/pith-number/7XO3C4QHCWFVU3SHX6LDIXUDVU/graph.json","events_json":"https://pith.science/api/pith-number/7XO3C4QHCWFVU3SHX6LDIXUDVU/events.json","paper":"https://pith.science/paper/7XO3C4QH"},"agent_actions":{"view_html":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU","download_json":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU.json","view_paper":"https://pith.science/paper/7XO3C4QH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/9702021&json=true","fetch_graph":"https://pith.science/api/pith-number/7XO3C4QHCWFVU3SHX6LDIXUDVU/graph.json","fetch_events":"https://pith.science/api/pith-number/7XO3C4QHCWFVU3SHX6LDIXUDVU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU/action/storage_attestation","attest_author":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU/action/author_attestation","sign_citation":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU/action/citation_signature","submit_replication":"https://pith.science/pith/7XO3C4QHCWFVU3SHX6LDIXUDVU/action/replication_record"}},"created_at":"2026-05-18T04:00:49.754049+00:00","updated_at":"2026-05-18T04:00:49.754049+00:00"}