{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3KHJSLJ6YHFR522YDEKLBCPDQU","short_pith_number":"pith:3KHJSLJ6","schema_version":"1.0","canonical_sha256":"da8e992d3ec1cb1eeb581914b089e385206485f1a535d28578b74fc2c6126ed8","source":{"kind":"arxiv","id":"1811.01652","version":1},"attestation_state":"computed","paper":{"title":"On some modifications of n-th von Neumann-Jordan constant for banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Maciej Ciesielski, Ryszard P{\\l}uciennik","submitted_at":"2018-11-05T13:00:38Z","abstract_excerpt":"There are discussed some modifications of n-th von Neumann-Jordan constant considered by M. Kato, Y. Takahashi and K. Hashimoto. We study, among others, upper, lower, upper modified and lower modified n-th von Neumann-Jordan constant and relationships between them. There are characterized uniformly non-l_{n}^{1} Banach spaces in terms of the upper modified n-th von Neumann-Jordan constant. Moreover, this constant is calculated explicitly for Lebesgue spaces L^{p} and l^{p} (1\\leq p\\leq oo)."},"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":"1811.01652","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-11-05T13:00:38Z","cross_cats_sorted":[],"title_canon_sha256":"a3e6db56cf9f509cf61e6da3b40844853c2a57de4ac028de378ba6a743081548","abstract_canon_sha256":"cf2c0c0dd40e41a95fb309f308dc8e6b4389e9fbfc74dd236afa1035743c36bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:33.647635Z","signature_b64":"bBa2yyNAt0kJNcfEyYE//t7j0EzVCP28GGfQn3xQbxfKo9qWh3nofMKazYjEkxx3jO99tHJ/bFQLq7ZrBCKdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da8e992d3ec1cb1eeb581914b089e385206485f1a535d28578b74fc2c6126ed8","last_reissued_at":"2026-05-18T00:01:33.647084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:33.647084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On some modifications of n-th von Neumann-Jordan constant for banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Maciej Ciesielski, Ryszard P{\\l}uciennik","submitted_at":"2018-11-05T13:00:38Z","abstract_excerpt":"There are discussed some modifications of n-th von Neumann-Jordan constant considered by M. Kato, Y. Takahashi and K. Hashimoto. We study, among others, upper, lower, upper modified and lower modified n-th von Neumann-Jordan constant and relationships between them. There are characterized uniformly non-l_{n}^{1} Banach spaces in terms of the upper modified n-th von Neumann-Jordan constant. Moreover, this constant is calculated explicitly for Lebesgue spaces L^{p} and l^{p} (1\\leq p\\leq oo)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01652","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":"1811.01652","created_at":"2026-05-18T00:01:33.647160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.01652v1","created_at":"2026-05-18T00:01:33.647160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01652","created_at":"2026-05-18T00:01:33.647160+00:00"},{"alias_kind":"pith_short_12","alias_value":"3KHJSLJ6YHFR","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"3KHJSLJ6YHFR522Y","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"3KHJSLJ6","created_at":"2026-05-18T12:32:02.567920+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/3KHJSLJ6YHFR522YDEKLBCPDQU","json":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU.json","graph_json":"https://pith.science/api/pith-number/3KHJSLJ6YHFR522YDEKLBCPDQU/graph.json","events_json":"https://pith.science/api/pith-number/3KHJSLJ6YHFR522YDEKLBCPDQU/events.json","paper":"https://pith.science/paper/3KHJSLJ6"},"agent_actions":{"view_html":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU","download_json":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU.json","view_paper":"https://pith.science/paper/3KHJSLJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.01652&json=true","fetch_graph":"https://pith.science/api/pith-number/3KHJSLJ6YHFR522YDEKLBCPDQU/graph.json","fetch_events":"https://pith.science/api/pith-number/3KHJSLJ6YHFR522YDEKLBCPDQU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU/action/storage_attestation","attest_author":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU/action/author_attestation","sign_citation":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU/action/citation_signature","submit_replication":"https://pith.science/pith/3KHJSLJ6YHFR522YDEKLBCPDQU/action/replication_record"}},"created_at":"2026-05-18T00:01:33.647160+00:00","updated_at":"2026-05-18T00:01:33.647160+00:00"}