{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:XBDYPPKIMML6ZYJRF77CZCWPP7","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":"081c750dbaa5ffef2bc7fc80a5623d252628c37a61e1e93c46718794a9335df7","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"2003-01-17T10:07:04Z","title_canon_sha256":"0b2029ec5652b02d1357774f79062b02e689611607a244ec57941798d9921915"},"schema_version":"1.0","source":{"id":"math/0301182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0301182","created_at":"2026-05-18T04:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0301182v1","created_at":"2026-05-18T04:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0301182","created_at":"2026-05-18T04:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"XBDYPPKIMML6","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"XBDYPPKIMML6ZYJR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"XBDYPPKI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:01243931649cfa883be3b2774f70a8eacdac4913fed6f18d8576fd6b01dc1199","target":"graph","created_at":"2026-05-18T04:26:44Z","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 a minor refinement of the Bourgain-Rosenthal construction of a Banach space without the Radon-Nikodym property which contains no bounded $\\delta$-trees yields a space with the Daugavet property and the Schur property. Using this example we answer some open questions on the structure of such spaces; in particular we show that the Daugavet property is not inherited by ultraproducts.","authors_text":"Dirk Werner, Vladimir Kadets","cross_cats":[],"headline":"","license":"","primary_cat":"math.FA","submitted_at":"2003-01-17T10:07:04Z","title":"A Banach space with the Schur and the Daugavet property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0301182","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:befca36983835e7b49b7a4d2bc31de7a6abfc5609ff4bccb9d677cda23b5387a","target":"record","created_at":"2026-05-18T04:26:44Z","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":"081c750dbaa5ffef2bc7fc80a5623d252628c37a61e1e93c46718794a9335df7","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"2003-01-17T10:07:04Z","title_canon_sha256":"0b2029ec5652b02d1357774f79062b02e689611607a244ec57941798d9921915"},"schema_version":"1.0","source":{"id":"math/0301182","kind":"arxiv","version":1}},"canonical_sha256":"b84787bd486317ece1312ffe2c8acf7ffb40e4f62d612bf0b1a2a1f86ccf41f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b84787bd486317ece1312ffe2c8acf7ffb40e4f62d612bf0b1a2a1f86ccf41f9","first_computed_at":"2026-05-18T04:26:44.092759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:44.092759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OEdAY4x6ZLYJCe4TckO1c3hBaaVAka0qgaE4cLoZRDemxEOjBQbkHpi6vSMCWyhhcnkWy23AC7WVsKQBpAipBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:44.093393Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0301182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:befca36983835e7b49b7a4d2bc31de7a6abfc5609ff4bccb9d677cda23b5387a","sha256:01243931649cfa883be3b2774f70a8eacdac4913fed6f18d8576fd6b01dc1199"],"state_sha256":"25ec8d9494cd25bdf36b2d9206d6b36bd4b33a554350d98c5ac67c19f85cdeca"}