{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:24C4VY5RL5PVWJ4OSTCXJUYPO2","short_pith_number":"pith:24C4VY5R","canonical_record":{"source":{"id":"1403.4577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T19:13:23Z","cross_cats_sorted":[],"title_canon_sha256":"067189e1c19d5dd0435eac00dc3f4c3cc9ff126ba2b6acf9f3eb6d4ece99d7ee","abstract_canon_sha256":"c69bb1ae4460c2cd1c7bb5d8a79c937b6e1eac0ef8add51a11802fe004fad699"},"schema_version":"1.0"},"canonical_sha256":"d705cae3b15f5f5b278e94c574d30f76a15ae844ca813a4db76bf62cae16d511","source":{"kind":"arxiv","id":"1403.4577","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4577","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4577v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4577","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"24C4VY5RL5PV","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"24C4VY5RL5PVWJ4O","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"24C4VY5R","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:24C4VY5RL5PVWJ4OSTCXJUYPO2","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T19:13:23Z","cross_cats_sorted":[],"title_canon_sha256":"067189e1c19d5dd0435eac00dc3f4c3cc9ff126ba2b6acf9f3eb6d4ece99d7ee","abstract_canon_sha256":"c69bb1ae4460c2cd1c7bb5d8a79c937b6e1eac0ef8add51a11802fe004fad699"},"schema_version":"1.0"},"canonical_sha256":"d705cae3b15f5f5b278e94c574d30f76a15ae844ca813a4db76bf62cae16d511","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:05.501774Z","signature_b64":"y1GO9r6v/xgxqHvHu4yjeipHYr1f5lfo8F7OxhwVK/zQk1OpzpuLBeZnoThG4ccH8IU0k1lk/BH8T3VD5UhTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d705cae3b15f5f5b278e94c574d30f76a15ae844ca813a4db76bf62cae16d511","last_reissued_at":"2026-05-18T02:56:05.501301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:05.501301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4577","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GLgxbLhhfFOYFiDtkFSugXmEXJfny3JEm8y45WN6ObYX12/5kbeglRm8mjAouXwLNTKtjeDsEqjC2znYNoHaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:03.388807Z"},"content_sha256":"70af3f1bea0e9339efcd62cbf4f9f1df2200053aef7b22c7f25971f16dd8ddd4","schema_version":"1.0","event_id":"sha256:70af3f1bea0e9339efcd62cbf4f9f1df2200053aef7b22c7f25971f16dd8ddd4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:24C4VY5RL5PVWJ4OSTCXJUYPO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diagonal extendible multilinear operators between $\\ell_p$-spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Carando, Pablo Sevilla-Peris, Rom\\'an Villafa\\~ne, Ver\\'onica Dimant","submitted_at":"2014-03-18T19:13:23Z","abstract_excerpt":"We study extendibility of diagonal multilinear operators from $\\ell_p$ to $\\ell_q$ spaces. We determine the values of $p$ and $q$ for which every diagonal $n$-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on $\\ell_p$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4577","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rNHq4TP8qsuDawcFBLZP0YpzrsROlaMAdC1jOtPyCx/shbUkwLc9b/AIb8IdV2YZcFRAARYDCHW4nr9EbkuvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:03.389527Z"},"content_sha256":"f4f59494f7190cd03e9ceee80e1b3fc2f7c4cf138e5f8555392ec505a4a2fdbe","schema_version":"1.0","event_id":"sha256:f4f59494f7190cd03e9ceee80e1b3fc2f7c4cf138e5f8555392ec505a4a2fdbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/bundle.json","state_url":"https://pith.science/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T17:33:03Z","links":{"resolver":"https://pith.science/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2","bundle":"https://pith.science/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/bundle.json","state":"https://pith.science/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/24C4VY5RL5PVWJ4OSTCXJUYPO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:24C4VY5RL5PVWJ4OSTCXJUYPO2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c69bb1ae4460c2cd1c7bb5d8a79c937b6e1eac0ef8add51a11802fe004fad699","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T19:13:23Z","title_canon_sha256":"067189e1c19d5dd0435eac00dc3f4c3cc9ff126ba2b6acf9f3eb6d4ece99d7ee"},"schema_version":"1.0","source":{"id":"1403.4577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4577","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4577v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4577","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"24C4VY5RL5PV","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"24C4VY5RL5PVWJ4O","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"24C4VY5R","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:f4f59494f7190cd03e9ceee80e1b3fc2f7c4cf138e5f8555392ec505a4a2fdbe","target":"graph","created_at":"2026-05-18T02:56:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study extendibility of diagonal multilinear operators from $\\ell_p$ to $\\ell_q$ spaces. We determine the values of $p$ and $q$ for which every diagonal $n$-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on $\\ell_p$.","authors_text":"Daniel Carando, Pablo Sevilla-Peris, Rom\\'an Villafa\\~ne, Ver\\'onica Dimant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T19:13:23Z","title":"Diagonal extendible multilinear operators between $\\ell_p$-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4577","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:70af3f1bea0e9339efcd62cbf4f9f1df2200053aef7b22c7f25971f16dd8ddd4","target":"record","created_at":"2026-05-18T02:56:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c69bb1ae4460c2cd1c7bb5d8a79c937b6e1eac0ef8add51a11802fe004fad699","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-18T19:13:23Z","title_canon_sha256":"067189e1c19d5dd0435eac00dc3f4c3cc9ff126ba2b6acf9f3eb6d4ece99d7ee"},"schema_version":"1.0","source":{"id":"1403.4577","kind":"arxiv","version":1}},"canonical_sha256":"d705cae3b15f5f5b278e94c574d30f76a15ae844ca813a4db76bf62cae16d511","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d705cae3b15f5f5b278e94c574d30f76a15ae844ca813a4db76bf62cae16d511","first_computed_at":"2026-05-18T02:56:05.501301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.501301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y1GO9r6v/xgxqHvHu4yjeipHYr1f5lfo8F7OxhwVK/zQk1OpzpuLBeZnoThG4ccH8IU0k1lk/BH8T3VD5UhTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.501774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70af3f1bea0e9339efcd62cbf4f9f1df2200053aef7b22c7f25971f16dd8ddd4","sha256:f4f59494f7190cd03e9ceee80e1b3fc2f7c4cf138e5f8555392ec505a4a2fdbe"],"state_sha256":"1e9fbe0adc954624dce95af3f8c956d77013b0378d6e46e79f99f74b47200e6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yP4x1xmC+PUiIt7zqVv3nwdHFkQp7WLSrAymawQtto5m5Q9pLvDIigrAE1hqymkvK22zfc6EWIGcaBSKGBpFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:33:03.393013Z","bundle_sha256":"c6576cd73110483d1b1ba28054247b16950693cadd63a2307c3400e085f5f90c"}}