{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:44U2FSFI6HLWR5VIQUCYY5RXXT","short_pith_number":"pith:44U2FSFI","schema_version":"1.0","canonical_sha256":"e729a2c8a8f1d768f6a885058c7637bcfc626dd3a4279ea4b230add1c5f3038b","source":{"kind":"arxiv","id":"1509.03644","version":1},"attestation_state":"computed","paper":{"title":"Fundamental function for Grand Lebesgue Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2015-09-11T20:23:26Z","abstract_excerpt":"We investigate in this short article the fundamental function for the so-called Grand Lebesgue Spaces (GLS) and show in particular a one-to-one and mutually continuous accordance between its fundamental and generating function."},"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":"1509.03644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-11T20:23:26Z","cross_cats_sorted":[],"title_canon_sha256":"339f8970866ddb7ffb32175ab8df91c5355beb66b319e79a856afbb626db24f5","abstract_canon_sha256":"9e23a7a920e1f12060fd7c910b9d73ad41d4f26ba0b525bd2e6d8002961e4e06"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:14.954500Z","signature_b64":"xdFHcr1UiKqmI0UHIs/i/uXbkj9mKgtohdt5bghszzSufZuxUQ2gBk32FdaN6vgR6h15rOVr6k8V7miar71dBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e729a2c8a8f1d768f6a885058c7637bcfc626dd3a4279ea4b230add1c5f3038b","last_reissued_at":"2026-05-18T01:33:14.953721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:14.953721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fundamental function for Grand Lebesgue Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2015-09-11T20:23:26Z","abstract_excerpt":"We investigate in this short article the fundamental function for the so-called Grand Lebesgue Spaces (GLS) and show in particular a one-to-one and mutually continuous accordance between its fundamental and generating function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03644","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":"1509.03644","created_at":"2026-05-18T01:33:14.953838+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.03644v1","created_at":"2026-05-18T01:33:14.953838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03644","created_at":"2026-05-18T01:33:14.953838+00:00"},{"alias_kind":"pith_short_12","alias_value":"44U2FSFI6HLW","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"44U2FSFI6HLWR5VI","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"44U2FSFI","created_at":"2026-05-18T12:29:02.477457+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/44U2FSFI6HLWR5VIQUCYY5RXXT","json":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT.json","graph_json":"https://pith.science/api/pith-number/44U2FSFI6HLWR5VIQUCYY5RXXT/graph.json","events_json":"https://pith.science/api/pith-number/44U2FSFI6HLWR5VIQUCYY5RXXT/events.json","paper":"https://pith.science/paper/44U2FSFI"},"agent_actions":{"view_html":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT","download_json":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT.json","view_paper":"https://pith.science/paper/44U2FSFI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.03644&json=true","fetch_graph":"https://pith.science/api/pith-number/44U2FSFI6HLWR5VIQUCYY5RXXT/graph.json","fetch_events":"https://pith.science/api/pith-number/44U2FSFI6HLWR5VIQUCYY5RXXT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT/action/storage_attestation","attest_author":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT/action/author_attestation","sign_citation":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT/action/citation_signature","submit_replication":"https://pith.science/pith/44U2FSFI6HLWR5VIQUCYY5RXXT/action/replication_record"}},"created_at":"2026-05-18T01:33:14.953838+00:00","updated_at":"2026-05-18T01:33:14.953838+00:00"}