{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:V5S4NNU4DPOFDVVGLKO37UOHVM","short_pith_number":"pith:V5S4NNU4","schema_version":"1.0","canonical_sha256":"af65c6b69c1bdc51d6a65a9dbfd1c7ab344d6113b2830e245d32182910f26cac","source":{"kind":"arxiv","id":"1904.09226","version":1},"attestation_state":"computed","paper":{"title":"Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eugeny Ostrovsky, Leonid Sirota, Maria Rosaria Formica","submitted_at":"2019-04-19T15:17:37Z","abstract_excerpt":"We prove that the Grand Lebesgue Space, builded on a unimodular locally compact topological group, forms a Banach algebra relative to the convolution."},"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":"1904.09226","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-19T15:17:37Z","cross_cats_sorted":[],"title_canon_sha256":"d701dd71e006a1617bb0e16f26ed96859921ac5fa3cfe10c519cea78fc6cb6d9","abstract_canon_sha256":"7c3b04708c993f34831b40704974a04240961d212e1b739623ace1ebce85f048"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:07.955295Z","signature_b64":"pOcBuWSi5h1wLnbPCsf/T0tqWyqXxxznjicyZ/S3FrAnBFXc6YNfqPpUe+r/pGlhCsQ9+15BWNb6JJ6Dm0CHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af65c6b69c1bdc51d6a65a9dbfd1c7ab344d6113b2830e245d32182910f26cac","last_reissued_at":"2026-05-17T23:48:07.954629Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:07.954629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eugeny Ostrovsky, Leonid Sirota, Maria Rosaria Formica","submitted_at":"2019-04-19T15:17:37Z","abstract_excerpt":"We prove that the Grand Lebesgue Space, builded on a unimodular locally compact topological group, forms a Banach algebra relative to the convolution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09226","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":"1904.09226","created_at":"2026-05-17T23:48:07.954746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.09226v1","created_at":"2026-05-17T23:48:07.954746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09226","created_at":"2026-05-17T23:48:07.954746+00:00"},{"alias_kind":"pith_short_12","alias_value":"V5S4NNU4DPOF","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"V5S4NNU4DPOFDVVG","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"V5S4NNU4","created_at":"2026-05-18T12:33:30.264802+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/V5S4NNU4DPOFDVVGLKO37UOHVM","json":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM.json","graph_json":"https://pith.science/api/pith-number/V5S4NNU4DPOFDVVGLKO37UOHVM/graph.json","events_json":"https://pith.science/api/pith-number/V5S4NNU4DPOFDVVGLKO37UOHVM/events.json","paper":"https://pith.science/paper/V5S4NNU4"},"agent_actions":{"view_html":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM","download_json":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM.json","view_paper":"https://pith.science/paper/V5S4NNU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.09226&json=true","fetch_graph":"https://pith.science/api/pith-number/V5S4NNU4DPOFDVVGLKO37UOHVM/graph.json","fetch_events":"https://pith.science/api/pith-number/V5S4NNU4DPOFDVVGLKO37UOHVM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM/action/storage_attestation","attest_author":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM/action/author_attestation","sign_citation":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM/action/citation_signature","submit_replication":"https://pith.science/pith/V5S4NNU4DPOFDVVGLKO37UOHVM/action/replication_record"}},"created_at":"2026-05-17T23:48:07.954746+00:00","updated_at":"2026-05-17T23:48:07.954746+00:00"}