{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QISTWPQG3W3G5RMGN4NUDLJJGQ","short_pith_number":"pith:QISTWPQG","canonical_record":{"source":{"id":"1502.02760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-10T02:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"9242393b7614c6a1f4cc834411a886259e218b578bec1225df7b07bea8a724b6","abstract_canon_sha256":"c8bdb75665c0f6d133f450528a920dd86eab5cdc25e09318967702d5c1b80feb"},"schema_version":"1.0"},"canonical_sha256":"82253b3e06ddb66ec5866f1b41ad29340cc9d6769b555b099fae8057795162ec","source":{"kind":"arxiv","id":"1502.02760","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QISTWPQG3W3G5RMGN4NUDLJJGQ","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-10T02:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"9242393b7614c6a1f4cc834411a886259e218b578bec1225df7b07bea8a724b6","abstract_canon_sha256":"c8bdb75665c0f6d133f450528a920dd86eab5cdc25e09318967702d5c1b80feb"},"schema_version":"1.0"},"canonical_sha256":"82253b3e06ddb66ec5866f1b41ad29340cc9d6769b555b099fae8057795162ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:39.383301Z","signature_b64":"03XotbzDWny5sbdBEQi0b4oSgRpqsinp9Sniq/1ssOfRRrP1jN58WzGoqytM85Vo4yQjxnU6mhiW/fR5f9NQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82253b3e06ddb66ec5866f1b41ad29340cc9d6769b555b099fae8057795162ec","last_reissued_at":"2026-05-18T02:20:39.382662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:39.382662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02760","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:20:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pa/d1bd3MfDHWRymOglgfKcph+E3XkgmKgdqQEDrnaTZzj5EnijAPmfh/Bwg802XN+dPteka88XoKjUGQTr0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:42:20.183512Z"},"content_sha256":"0eba75471bb047875b55e14c8d78e5f14ca2700dddbaac16ef79f3ddbb11eaaf","schema_version":"1.0","event_id":"sha256:0eba75471bb047875b55e14c8d78e5f14ca2700dddbaac16ef79f3ddbb11eaaf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QISTWPQG3W3G5RMGN4NUDLJJGQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Daugavet property in the Musielak-Orlicz spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anna Kami\\'nska, Damian Kubiak","submitted_at":"2015-02-10T02:54:48Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02760","kind":"arxiv","version":2},"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":"2026-05-18T02:20:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ohcp8hQwBqLNO+eNXb07S0wW4m9g9Z6mKb/E+x2ft4OBG0nEizG1PWgod39v0XSR5UUMbuQHA25FqPwahPiaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:42:20.183992Z"},"content_sha256":"0ca53bfdb54b0cf7319721a3c123f7051ae975dc9c73ebdaa30137e036960196","schema_version":"1.0","event_id":"sha256:0ca53bfdb54b0cf7319721a3c123f7051ae975dc9c73ebdaa30137e036960196"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/bundle.json","state_url":"https://pith.science/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/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":"2026-05-31T12:42:20Z","links":{"resolver":"https://pith.science/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ","bundle":"https://pith.science/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/bundle.json","state":"https://pith.science/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QISTWPQG3W3G5RMGN4NUDLJJGQ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kkZZsI3Anyeu89z0zHQKvWV9u3rTRelrTw5FY0Z0piY7F/BdJfFeCEDCXs/o7N7R+xuXo47HF93eGmX7kKeiBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:42:20.187216Z","bundle_sha256":"b76ae31f2bb48efe51990fb1ad798123ddc4fb8a698ee29babdf2fbaaac6f505"}}