{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:OJY2CQOA3WTI3I5PVCWYYYQZ5P","short_pith_number":"pith:OJY2CQOA","schema_version":"1.0","canonical_sha256":"7271a141c0dda68da3afa8ad8c6219ebc66dde80f4589191fba527c83006d4c5","source":{"kind":"arxiv","id":"1002.4795","version":1},"attestation_state":"computed","paper":{"title":"An abstract Nyquist criterion containing old and new results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OC","authors_text":"Amol Sasane","submitted_at":"2010-02-25T14:28:12Z","abstract_excerpt":"We prove an abstract Nyquist criterion in a general set up. As applications, we recover various versions of the Nyquist criterion, some of which are new."},"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":"1002.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-02-25T14:28:12Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"bb2357efe1eb96b57e5ff79a0eaaaee3c6b633efc8736aea9ef9a644ee61060b","abstract_canon_sha256":"72822686128f36a75a616af53700f5f3aa4e3ad4e92bf017c7faf007e12dcbfd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:34.969719Z","signature_b64":"SR9eUKQKP8bvQlkvSQgRBZ4bjQMD8B2eZJHG7/Bv8CvOdl74Pvrqh/Hs14EoWpU1YGwwB+kQA/lp1gHhvJnaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7271a141c0dda68da3afa8ad8c6219ebc66dde80f4589191fba527c83006d4c5","last_reissued_at":"2026-05-18T04:08:34.969051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:34.969051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An abstract Nyquist criterion containing old and new results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OC","authors_text":"Amol Sasane","submitted_at":"2010-02-25T14:28:12Z","abstract_excerpt":"We prove an abstract Nyquist criterion in a general set up. As applications, we recover various versions of the Nyquist criterion, some of which are new."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4795","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":"1002.4795","created_at":"2026-05-18T04:08:34.969158+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.4795v1","created_at":"2026-05-18T04:08:34.969158+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4795","created_at":"2026-05-18T04:08:34.969158+00:00"},{"alias_kind":"pith_short_12","alias_value":"OJY2CQOA3WTI","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"OJY2CQOA3WTI3I5P","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"OJY2CQOA","created_at":"2026-05-18T12:26:12.377268+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/OJY2CQOA3WTI3I5PVCWYYYQZ5P","json":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P.json","graph_json":"https://pith.science/api/pith-number/OJY2CQOA3WTI3I5PVCWYYYQZ5P/graph.json","events_json":"https://pith.science/api/pith-number/OJY2CQOA3WTI3I5PVCWYYYQZ5P/events.json","paper":"https://pith.science/paper/OJY2CQOA"},"agent_actions":{"view_html":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P","download_json":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P.json","view_paper":"https://pith.science/paper/OJY2CQOA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.4795&json=true","fetch_graph":"https://pith.science/api/pith-number/OJY2CQOA3WTI3I5PVCWYYYQZ5P/graph.json","fetch_events":"https://pith.science/api/pith-number/OJY2CQOA3WTI3I5PVCWYYYQZ5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P/action/storage_attestation","attest_author":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P/action/author_attestation","sign_citation":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P/action/citation_signature","submit_replication":"https://pith.science/pith/OJY2CQOA3WTI3I5PVCWYYYQZ5P/action/replication_record"}},"created_at":"2026-05-18T04:08:34.969158+00:00","updated_at":"2026-05-18T04:08:34.969158+00:00"}