{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6GN3C4PLQ42Q4B7GPUNK2DWEJQ","short_pith_number":"pith:6GN3C4PL","schema_version":"1.0","canonical_sha256":"f19bb171eb87350e07e67d1aad0ec44c091b3adc8fb41bddefd64203ef803826","source":{"kind":"arxiv","id":"1609.03270","version":1},"attestation_state":"computed","paper":{"title":"Operators on Bourgain-Delbaen's spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniele Puglisi","submitted_at":"2016-09-12T05:34:21Z","abstract_excerpt":"We prove that, for a suitable choice of real numbers $a, b$, every operator from $\\ell_2$ to $X_{a,b}$ and from $X_{a,b}$ to $\\ell_2$ must be compact, where $X_{a,b}$ is the Bourgain- Delbaen's space."},"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":"1609.03270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-09-12T05:34:21Z","cross_cats_sorted":[],"title_canon_sha256":"b73a8b2aede6d1a81751df551d399f89c8167f6b7d1b4622236782b350080017","abstract_canon_sha256":"cb24b6caa68cc3205cb045612ac09ef548daef2ab16dfee8e8ea95b4727aa746"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:31.156219Z","signature_b64":"A3tGzSzl1xfgOF/Vo3EqwyHOlvwAENRyUtjrkl0OOdMJl0PuqoH/evSUEmuMU627ArNfJS9M0tYYpDncQlZZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f19bb171eb87350e07e67d1aad0ec44c091b3adc8fb41bddefd64203ef803826","last_reissued_at":"2026-05-18T00:19:31.155828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:31.155828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operators on Bourgain-Delbaen's spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniele Puglisi","submitted_at":"2016-09-12T05:34:21Z","abstract_excerpt":"We prove that, for a suitable choice of real numbers $a, b$, every operator from $\\ell_2$ to $X_{a,b}$ and from $X_{a,b}$ to $\\ell_2$ must be compact, where $X_{a,b}$ is the Bourgain- Delbaen's space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03270","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":"1609.03270","created_at":"2026-05-18T00:19:31.155895+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.03270v1","created_at":"2026-05-18T00:19:31.155895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03270","created_at":"2026-05-18T00:19:31.155895+00:00"},{"alias_kind":"pith_short_12","alias_value":"6GN3C4PLQ42Q","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6GN3C4PLQ42Q4B7G","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6GN3C4PL","created_at":"2026-05-18T12:30:01.593930+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/6GN3C4PLQ42Q4B7GPUNK2DWEJQ","json":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ.json","graph_json":"https://pith.science/api/pith-number/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/graph.json","events_json":"https://pith.science/api/pith-number/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/events.json","paper":"https://pith.science/paper/6GN3C4PL"},"agent_actions":{"view_html":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ","download_json":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ.json","view_paper":"https://pith.science/paper/6GN3C4PL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.03270&json=true","fetch_graph":"https://pith.science/api/pith-number/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/graph.json","fetch_events":"https://pith.science/api/pith-number/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/action/storage_attestation","attest_author":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/action/author_attestation","sign_citation":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/action/citation_signature","submit_replication":"https://pith.science/pith/6GN3C4PLQ42Q4B7GPUNK2DWEJQ/action/replication_record"}},"created_at":"2026-05-18T00:19:31.155895+00:00","updated_at":"2026-05-18T00:19:31.155895+00:00"}