{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QISTWPQG3W3G5RMGN4NUDLJJGQ","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":"c8bdb75665c0f6d133f450528a920dd86eab5cdc25e09318967702d5c1b80feb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-10T02:54:48Z","title_canon_sha256":"9242393b7614c6a1f4cc834411a886259e218b578bec1225df7b07bea8a724b6"},"schema_version":"1.0","source":{"id":"1502.02760","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02760","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02760v2","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02760","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"pith_short_12","alias_value":"QISTWPQG3W3G","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QISTWPQG3W3G5RMG","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QISTWPQG","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:0ca53bfdb54b0cf7319721a3c123f7051ae975dc9c73ebdaa30137e036960196","target":"graph","created_at":"2026-05-18T02:20:39Z","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 among all Musielak-Orlicz function spaces on a $\\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\\infty}$, $L_1\\oplus_1 L_{\\infty}$ and $L_1\\oplus_{\\infty} L_{\\infty}$. We obtain in particular complete characterizations of the Daugavet property in the weighted interpolation spaces, the variable exponent Lebesgue spaces (Nakano spaces) and the Orlicz spaces.","authors_text":"Anna Kami\\'nska, Damian Kubiak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-10T02:54:48Z","title":"The Daugavet property in the Musielak-Orlicz spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02760","kind":"arxiv","version":2},"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":"sha256:0eba75471bb047875b55e14c8d78e5f14ca2700dddbaac16ef79f3ddbb11eaaf","target":"record","created_at":"2026-05-18T02:20:39Z","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":"c8bdb75665c0f6d133f450528a920dd86eab5cdc25e09318967702d5c1b80feb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-10T02:54:48Z","title_canon_sha256":"9242393b7614c6a1f4cc834411a886259e218b578bec1225df7b07bea8a724b6"},"schema_version":"1.0","source":{"id":"1502.02760","kind":"arxiv","version":2}},"canonical_sha256":"82253b3e06ddb66ec5866f1b41ad29340cc9d6769b555b099fae8057795162ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82253b3e06ddb66ec5866f1b41ad29340cc9d6769b555b099fae8057795162ec","first_computed_at":"2026-05-18T02:20:39.382662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:39.382662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"03XotbzDWny5sbdBEQi0b4oSgRpqsinp9Sniq/1ssOfRRrP1jN58WzGoqytM85Vo4yQjxnU6mhiW/fR5f9NQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:39.383301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02760","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eba75471bb047875b55e14c8d78e5f14ca2700dddbaac16ef79f3ddbb11eaaf","sha256:0ca53bfdb54b0cf7319721a3c123f7051ae975dc9c73ebdaa30137e036960196"],"state_sha256":"75b08b4515e6d1723e8a47195e5b0714b035835f411f478fc49238bcffaec139"}