{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CNAOX536I5VOV6UJLUNWQ4WVZN","short_pith_number":"pith:CNAOX536","canonical_record":{"source":{"id":"1104.4724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-25T14:07:13Z","cross_cats_sorted":[],"title_canon_sha256":"0cf5cf0fa4c6ae3eaa10933c8afb0ffcda0d76d553c8966f0c3750a32fdacb15","abstract_canon_sha256":"a5e8fc31154784b124b82e3bb9f754c959271caf3ef027369bbc51c897b66cf3"},"schema_version":"1.0"},"canonical_sha256":"1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b","source":{"kind":"arxiv","id":"1104.4724","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4724","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4724v1","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4724","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"CNAOX536I5VO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CNAOX536I5VOV6UJ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CNAOX536","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CNAOX536I5VOV6UJLUNWQ4WVZN","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-25T14:07:13Z","cross_cats_sorted":[],"title_canon_sha256":"0cf5cf0fa4c6ae3eaa10933c8afb0ffcda0d76d553c8966f0c3750a32fdacb15","abstract_canon_sha256":"a5e8fc31154784b124b82e3bb9f754c959271caf3ef027369bbc51c897b66cf3"},"schema_version":"1.0"},"canonical_sha256":"1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:33.573725Z","signature_b64":"5QNkfYQ083BM3QRIGfopSokgVmjj34vkpl2Bvj28T/btTRPxGPYHQD89MaIhyLcEzqb/H4jRwq2VBKMzKUvPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b","last_reissued_at":"2026-05-18T04:23:33.573331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:33.573331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4724","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":"2026-05-18T04:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvpOXHJm7MAiZeb1A/QTz+5R5YSgIGMG7zee4vyN/JbgN4IcQzdR1OvVLFk6ALOvDY/jpJeH0wg8tZuWOXgQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:54:34.901216Z"},"content_sha256":"9f7a178bf6f0e1b0f40f6bf26317f0de2043423843b78c1366d32484a9e0cfbd","schema_version":"1.0","event_id":"sha256:9f7a178bf6f0e1b0f40f6bf26317f0de2043423843b78c1366d32484a9e0cfbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CNAOX536I5VOV6UJLUNWQ4WVZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Banach spaces without minimal subspaces - examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Christian Rosendal, Valentin Ferenczi","submitted_at":"2011-04-25T14:07:13Z","abstract_excerpt":"We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in the previous paper Banach spaces without minimal subspaces, by classifying them according to which side of the dichotomies they fall. This paper may be seen as a more empirical continuation of Banach spaces without minimal subspaces, in which our stress is on the study of examples for the new classes of Banach spaces considered in that work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4724","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":"2026-05-18T04:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"93mu+5C9EqOvEWdAsfveApWmfwvWhR/kRzCUDJVCFUS3NQ8mqgFaq8ha+lttn0l4wo/wpYdYB2p573Y9TpPiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:54:34.901572Z"},"content_sha256":"641bd11ca4e36b1d7128f28cb057109b48240a33b2d471ad0cabfe2eb2775e77","schema_version":"1.0","event_id":"sha256:641bd11ca4e36b1d7128f28cb057109b48240a33b2d471ad0cabfe2eb2775e77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/bundle.json","state_url":"https://pith.science/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/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":"2026-06-23T22:54:34Z","links":{"resolver":"https://pith.science/pith/CNAOX536I5VOV6UJLUNWQ4WVZN","bundle":"https://pith.science/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/bundle.json","state":"https://pith.science/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CNAOX536I5VOV6UJLUNWQ4WVZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CNAOX536I5VOV6UJLUNWQ4WVZN","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":"a5e8fc31154784b124b82e3bb9f754c959271caf3ef027369bbc51c897b66cf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-25T14:07:13Z","title_canon_sha256":"0cf5cf0fa4c6ae3eaa10933c8afb0ffcda0d76d553c8966f0c3750a32fdacb15"},"schema_version":"1.0","source":{"id":"1104.4724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4724","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4724v1","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4724","created_at":"2026-05-18T04:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"CNAOX536I5VO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CNAOX536I5VOV6UJ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CNAOX536","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:641bd11ca4e36b1d7128f28cb057109b48240a33b2d471ad0cabfe2eb2775e77","target":"graph","created_at":"2026-05-18T04:23:33Z","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 analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in the previous paper Banach spaces without minimal subspaces, by classifying them according to which side of the dichotomies they fall. This paper may be seen as a more empirical continuation of Banach spaces without minimal subspaces, in which our stress is on the study of examples for the new classes of Banach spaces considered in that work.","authors_text":"Christian Rosendal, Valentin Ferenczi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-25T14:07:13Z","title":"Banach spaces without minimal subspaces - examples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4724","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":"sha256:9f7a178bf6f0e1b0f40f6bf26317f0de2043423843b78c1366d32484a9e0cfbd","target":"record","created_at":"2026-05-18T04:23:33Z","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":"a5e8fc31154784b124b82e3bb9f754c959271caf3ef027369bbc51c897b66cf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-25T14:07:13Z","title_canon_sha256":"0cf5cf0fa4c6ae3eaa10933c8afb0ffcda0d76d553c8966f0c3750a32fdacb15"},"schema_version":"1.0","source":{"id":"1104.4724","kind":"arxiv","version":1}},"canonical_sha256":"1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b","first_computed_at":"2026-05-18T04:23:33.573331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:33.573331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5QNkfYQ083BM3QRIGfopSokgVmjj34vkpl2Bvj28T/btTRPxGPYHQD89MaIhyLcEzqb/H4jRwq2VBKMzKUvPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:33.573725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f7a178bf6f0e1b0f40f6bf26317f0de2043423843b78c1366d32484a9e0cfbd","sha256:641bd11ca4e36b1d7128f28cb057109b48240a33b2d471ad0cabfe2eb2775e77"],"state_sha256":"82c989dcf3ede1af059a1ffa7655868d9c147f943238dea6bbceb9821b9b11b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qLJ54NW7aJlvu9L7lezUFxbUTIXpjfe3vjx9dPvAuSWcy5bf9zN0D+O67UYK9f7z+9bFVx9jPUM9izABw2xsCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T22:54:34.903529Z","bundle_sha256":"23b3c56fb84895a9121657591e8ff59a94e7e9d6c5488264e5f401f087213f8a"}}