{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:E3CAGPDVK57KKWHEWU5EIA4OXN","short_pith_number":"pith:E3CAGPDV","schema_version":"1.0","canonical_sha256":"26c4033c75577ea558e4b53a44038ebb70f1652a9ef6f9ae34fc718dc19c2f2f","source":{"kind":"arxiv","id":"1505.05434","version":1},"attestation_state":"computed","paper":{"title":"Holder's inequality for roots of symmetric operator spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Anna Skripka, Ken Dykema","submitted_at":"2015-05-20T15:56:44Z","abstract_excerpt":"We prove a version of Holder's inequality with a constant for p-th roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with constant equal to 1 for strongly symmetric operator spaces."},"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":"1505.05434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-05-20T15:56:44Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"4203cab05e9ed30c49b471137440ca8c48394cb1759b8ae1b4c5f7c54ddc1b3d","abstract_canon_sha256":"2e4a9d206888fa5130baebf38a997b90be07c9544113ec39d6fc6d11fb0c2944"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:56.379568Z","signature_b64":"VNUrr/vpy12CxsSg6UTFt8szd2mK5pnYLF328qu6pMcsD5mkPQp+8elhA9CV29tj9HVVIqtgk489ZkdNPOUGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26c4033c75577ea558e4b53a44038ebb70f1652a9ef6f9ae34fc718dc19c2f2f","last_reissued_at":"2026-05-18T02:03:56.378911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:56.378911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Holder's inequality for roots of symmetric operator spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Anna Skripka, Ken Dykema","submitted_at":"2015-05-20T15:56:44Z","abstract_excerpt":"We prove a version of Holder's inequality with a constant for p-th roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with constant equal to 1 for strongly symmetric operator spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05434","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":"1505.05434","created_at":"2026-05-18T02:03:56.379019+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.05434v1","created_at":"2026-05-18T02:03:56.379019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05434","created_at":"2026-05-18T02:03:56.379019+00:00"},{"alias_kind":"pith_short_12","alias_value":"E3CAGPDVK57K","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"E3CAGPDVK57KKWHE","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"E3CAGPDV","created_at":"2026-05-18T12:29:17.054201+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/E3CAGPDVK57KKWHEWU5EIA4OXN","json":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN.json","graph_json":"https://pith.science/api/pith-number/E3CAGPDVK57KKWHEWU5EIA4OXN/graph.json","events_json":"https://pith.science/api/pith-number/E3CAGPDVK57KKWHEWU5EIA4OXN/events.json","paper":"https://pith.science/paper/E3CAGPDV"},"agent_actions":{"view_html":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN","download_json":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN.json","view_paper":"https://pith.science/paper/E3CAGPDV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.05434&json=true","fetch_graph":"https://pith.science/api/pith-number/E3CAGPDVK57KKWHEWU5EIA4OXN/graph.json","fetch_events":"https://pith.science/api/pith-number/E3CAGPDVK57KKWHEWU5EIA4OXN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN/action/storage_attestation","attest_author":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN/action/author_attestation","sign_citation":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN/action/citation_signature","submit_replication":"https://pith.science/pith/E3CAGPDVK57KKWHEWU5EIA4OXN/action/replication_record"}},"created_at":"2026-05-18T02:03:56.379019+00:00","updated_at":"2026-05-18T02:03:56.379019+00:00"}