{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SEC7FXKZ3MLMICWE2SOF52OZPH","short_pith_number":"pith:SEC7FXKZ","schema_version":"1.0","canonical_sha256":"9105f2dd59db16c40ac4d49c5ee9d979c6651e9a99ebb06e4c505a1379accfd4","source":{"kind":"arxiv","id":"1808.01197","version":1},"attestation_state":"computed","paper":{"title":"Subspace Almost Periodic $C$-Distribution Semigroups and $C$-Distribution Cosine Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Velinov, Marko Kosti\\'c, Stevan Pilipovi\\'c","submitted_at":"2018-08-03T14:12:24Z","abstract_excerpt":"The main aim of this paper is to introduce and analyze the notions of subspace almost periodicity and subspace weak almost periodicity for $C$-distribution semigroups and $C$-distribution cosine functions in Banach spaces. We continue our previous research study of almost periodicity of abstract Volterra integro-differential equations \\cite{aot}, focusing our attention on the abstract ill-posed Cauchy problems of first order."},"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":"1808.01197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-08-03T14:12:24Z","cross_cats_sorted":[],"title_canon_sha256":"a24f30c03364135f4a3bff1ed8b359df8d2a7adee611656edc2c798dca035ead","abstract_canon_sha256":"e910b8437116032c9634ea84abe73c760467e18f8612a8a170df94bc604d054c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:19.649435Z","signature_b64":"k2wGfXloNd35FGnFukGYgxx2P0LqkWLlR5/V5twsZGmbPoLSGU4wYr5g337N6wMBvQNSv3q+ihIriXGVVjeABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9105f2dd59db16c40ac4d49c5ee9d979c6651e9a99ebb06e4c505a1379accfd4","last_reissued_at":"2026-05-17T23:51:19.648809Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:19.648809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subspace Almost Periodic $C$-Distribution Semigroups and $C$-Distribution Cosine Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Velinov, Marko Kosti\\'c, Stevan Pilipovi\\'c","submitted_at":"2018-08-03T14:12:24Z","abstract_excerpt":"The main aim of this paper is to introduce and analyze the notions of subspace almost periodicity and subspace weak almost periodicity for $C$-distribution semigroups and $C$-distribution cosine functions in Banach spaces. We continue our previous research study of almost periodicity of abstract Volterra integro-differential equations \\cite{aot}, focusing our attention on the abstract ill-posed Cauchy problems of first order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01197","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":"1808.01197","created_at":"2026-05-17T23:51:19.648895+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.01197v1","created_at":"2026-05-17T23:51:19.648895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01197","created_at":"2026-05-17T23:51:19.648895+00:00"},{"alias_kind":"pith_short_12","alias_value":"SEC7FXKZ3MLM","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SEC7FXKZ3MLMICWE","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SEC7FXKZ","created_at":"2026-05-18T12:32:53.628368+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/SEC7FXKZ3MLMICWE2SOF52OZPH","json":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH.json","graph_json":"https://pith.science/api/pith-number/SEC7FXKZ3MLMICWE2SOF52OZPH/graph.json","events_json":"https://pith.science/api/pith-number/SEC7FXKZ3MLMICWE2SOF52OZPH/events.json","paper":"https://pith.science/paper/SEC7FXKZ"},"agent_actions":{"view_html":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH","download_json":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH.json","view_paper":"https://pith.science/paper/SEC7FXKZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.01197&json=true","fetch_graph":"https://pith.science/api/pith-number/SEC7FXKZ3MLMICWE2SOF52OZPH/graph.json","fetch_events":"https://pith.science/api/pith-number/SEC7FXKZ3MLMICWE2SOF52OZPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH/action/storage_attestation","attest_author":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH/action/author_attestation","sign_citation":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH/action/citation_signature","submit_replication":"https://pith.science/pith/SEC7FXKZ3MLMICWE2SOF52OZPH/action/replication_record"}},"created_at":"2026-05-17T23:51:19.648895+00:00","updated_at":"2026-05-17T23:51:19.648895+00:00"}