{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:BUBCV7ZQTQ54OUEXAOENTGKJA4","short_pith_number":"pith:BUBCV7ZQ","canonical_record":{"source":{"id":"1009.1064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-09-06T14:02:58Z","cross_cats_sorted":[],"title_canon_sha256":"7312190563804f831a4c50a16337ef9f41af6cffb132898a285e95fb483a6634","abstract_canon_sha256":"82b87c9064349fa41a142caf188f91dbad1f8c3c61497c9d2f5ff635c8ac078c"},"schema_version":"1.0"},"canonical_sha256":"0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90","source":{"kind":"arxiv","id":"1009.1064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1064","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1064v1","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1064","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"BUBCV7ZQTQ54","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BUBCV7ZQTQ54OUEX","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BUBCV7ZQ","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:BUBCV7ZQTQ54OUEXAOENTGKJA4","target":"record","payload":{"canonical_record":{"source":{"id":"1009.1064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-09-06T14:02:58Z","cross_cats_sorted":[],"title_canon_sha256":"7312190563804f831a4c50a16337ef9f41af6cffb132898a285e95fb483a6634","abstract_canon_sha256":"82b87c9064349fa41a142caf188f91dbad1f8c3c61497c9d2f5ff635c8ac078c"},"schema_version":"1.0"},"canonical_sha256":"0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:17.214250Z","signature_b64":"g4MGFeK5IdwcXfP1qCx6qWBwJ/1mLR38oErZKAu7pnNBySaiAQqCbRnkuXkEPH7Px71OFQBjwqbi6zu5azt/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90","last_reissued_at":"2026-05-18T04:04:17.213440Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:17.213440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.1064","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":"2026-05-18T04:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5705khKTzQTy3/29m0176QvNzvHCqJblTzu6DbLPJl9ToFcU1m1CrKDtyipt/pYIO3DZFkFvSLk3atVfUrzeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:08:07.396097Z"},"content_sha256":"e06a68d443e61532ce7579050017a807b1015391c0e24cd84a7a1835ed067ade","schema_version":"1.0","event_id":"sha256:e06a68d443e61532ce7579050017a807b1015391c0e24cd84a7a1835ed067ade"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:BUBCV7ZQTQ54OUEXAOENTGKJA4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Every Banach ideal of polynomials is compatible with an operator ideal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Carando, Santiago Muro, Ver\\'onica Dimant","submitted_at":"2010-09-06T14:02:58Z","abstract_excerpt":"We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of $n$-homogeneous polynomials belongs to a coherent sequence of ideals of $k$-homogeneous polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1064","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":"2026-05-18T04:04:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9xIdzkYkQE5f/plzH/LIoyOKhT3gR/wEWjYg7zVA1PoBA83h2muQTP7sj5UKRKW5zuHuWhHDlszCI3qiLImCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:08:07.396796Z"},"content_sha256":"4d0debaecbc158cacc18d54a0233278657d60e58e948ae11aae89446adbd6830","schema_version":"1.0","event_id":"sha256:4d0debaecbc158cacc18d54a0233278657d60e58e948ae11aae89446adbd6830"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/bundle.json","state_url":"https://pith.science/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/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":"2026-06-07T22:08:07Z","links":{"resolver":"https://pith.science/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4","bundle":"https://pith.science/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/bundle.json","state":"https://pith.science/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BUBCV7ZQTQ54OUEXAOENTGKJA4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BUBCV7ZQTQ54OUEXAOENTGKJA4","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":"82b87c9064349fa41a142caf188f91dbad1f8c3c61497c9d2f5ff635c8ac078c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-09-06T14:02:58Z","title_canon_sha256":"7312190563804f831a4c50a16337ef9f41af6cffb132898a285e95fb483a6634"},"schema_version":"1.0","source":{"id":"1009.1064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1064","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1064v1","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1064","created_at":"2026-05-18T04:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"BUBCV7ZQTQ54","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BUBCV7ZQTQ54OUEX","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BUBCV7ZQ","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:4d0debaecbc158cacc18d54a0233278657d60e58e948ae11aae89446adbd6830","target":"graph","created_at":"2026-05-18T04:04:17Z","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 show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of $n$-homogeneous polynomials belongs to a coherent sequence of ideals of $k$-homogeneous polynomials.","authors_text":"Daniel Carando, Santiago Muro, Ver\\'onica Dimant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-09-06T14:02:58Z","title":"Every Banach ideal of polynomials is compatible with an operator ideal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1064","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:e06a68d443e61532ce7579050017a807b1015391c0e24cd84a7a1835ed067ade","target":"record","created_at":"2026-05-18T04:04:17Z","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":"82b87c9064349fa41a142caf188f91dbad1f8c3c61497c9d2f5ff635c8ac078c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-09-06T14:02:58Z","title_canon_sha256":"7312190563804f831a4c50a16337ef9f41af6cffb132898a285e95fb483a6634"},"schema_version":"1.0","source":{"id":"1009.1064","kind":"arxiv","version":1}},"canonical_sha256":"0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90","first_computed_at":"2026-05-18T04:04:17.213440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:17.213440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g4MGFeK5IdwcXfP1qCx6qWBwJ/1mLR38oErZKAu7pnNBySaiAQqCbRnkuXkEPH7Px71OFQBjwqbi6zu5azt/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:17.214250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e06a68d443e61532ce7579050017a807b1015391c0e24cd84a7a1835ed067ade","sha256:4d0debaecbc158cacc18d54a0233278657d60e58e948ae11aae89446adbd6830"],"state_sha256":"f67a70ce3ea015cf8c459bbeac3665609a179d5f0361ead22b6c486fb2f5abe9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7PsrFXTZoGSxWLsjaGl4zXJCZK5hzbGJZVgw1ZzsSY7+dLJ6e50qG+TwYpzl4CWXWR9ZfjukVx7pVEYI7nQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:08:07.400507Z","bundle_sha256":"7a495e2b03c91ced2783a5bdb26d2d3a674b38781ca1bb7861ba0ec80118229b"}}