{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:O2UJWSOOK5H25KKF3GSERH53B5","short_pith_number":"pith:O2UJWSOO","schema_version":"1.0","canonical_sha256":"76a89b49ce574faea945d9a4489fbb0f4a0560b54caab96fd660ea42e38d8544","source":{"kind":"arxiv","id":"1602.03363","version":1},"attestation_state":"computed","paper":{"title":"An index of summability for pairs of Banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. Pellegrino, J. Santos, M. Maia","submitted_at":"2016-02-10T13:24:38Z","abstract_excerpt":"We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E; F, this index plays the role of a kind of measure of how the m-homogeneous polynomials from E to F are far from being absolutely summing. In some cases the optimal index of summability is computed."},"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":"1602.03363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-02-10T13:24:38Z","cross_cats_sorted":[],"title_canon_sha256":"aa4822445958361c27297d1d4e163fb074d6043218eccea634a129540bd5dae3","abstract_canon_sha256":"dee2d2e2a86697f03e2e3072c2bd7a0d073f028f46a46b06934e82f0d1db6cf0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:00.184522Z","signature_b64":"fDIunkRIUYgXjPccb4ov9pGPB++oon7VmRd2/VVsWw9xVdrdn9+JCgOuIqWRh/op36Ox886+0tjx+P3umJf9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76a89b49ce574faea945d9a4489fbb0f4a0560b54caab96fd660ea42e38d8544","last_reissued_at":"2026-05-18T01:21:00.183704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:00.183704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An index of summability for pairs of Banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. Pellegrino, J. Santos, M. Maia","submitted_at":"2016-02-10T13:24:38Z","abstract_excerpt":"We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E; F, this index plays the role of a kind of measure of how the m-homogeneous polynomials from E to F are far from being absolutely summing. In some cases the optimal index of summability is computed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03363","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":"1602.03363","created_at":"2026-05-18T01:21:00.183835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.03363v1","created_at":"2026-05-18T01:21:00.183835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03363","created_at":"2026-05-18T01:21:00.183835+00:00"},{"alias_kind":"pith_short_12","alias_value":"O2UJWSOOK5H2","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"O2UJWSOOK5H25KKF","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"O2UJWSOO","created_at":"2026-05-18T12:30:36.002864+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/O2UJWSOOK5H25KKF3GSERH53B5","json":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5.json","graph_json":"https://pith.science/api/pith-number/O2UJWSOOK5H25KKF3GSERH53B5/graph.json","events_json":"https://pith.science/api/pith-number/O2UJWSOOK5H25KKF3GSERH53B5/events.json","paper":"https://pith.science/paper/O2UJWSOO"},"agent_actions":{"view_html":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5","download_json":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5.json","view_paper":"https://pith.science/paper/O2UJWSOO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.03363&json=true","fetch_graph":"https://pith.science/api/pith-number/O2UJWSOOK5H25KKF3GSERH53B5/graph.json","fetch_events":"https://pith.science/api/pith-number/O2UJWSOOK5H25KKF3GSERH53B5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5/action/storage_attestation","attest_author":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5/action/author_attestation","sign_citation":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5/action/citation_signature","submit_replication":"https://pith.science/pith/O2UJWSOOK5H25KKF3GSERH53B5/action/replication_record"}},"created_at":"2026-05-18T01:21:00.183835+00:00","updated_at":"2026-05-18T01:21:00.183835+00:00"}