{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NV43NLELZASVE5U2NYS6O5U6T7","short_pith_number":"pith:NV43NLEL","canonical_record":{"source":{"id":"1301.2425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-11T09:17:05Z","cross_cats_sorted":[],"title_canon_sha256":"d9ff95077b602644dfcca247c671497035440c811e5b882cfdcbabe4f662de67","abstract_canon_sha256":"3b1f8efb45bb11ed362ce9cccac0fd1aab21e9d639e0edc038cd81d81d9a95bf"},"schema_version":"1.0"},"canonical_sha256":"6d79b6ac8bc82552769a6e25e7769e9fd3eb17d5e8df8954c01ddc1eb26b0ace","source":{"kind":"arxiv","id":"1301.2425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2425","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2425v1","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2425","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"NV43NLELZASV","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NV43NLELZASVE5U2","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NV43NLEL","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NV43NLELZASVE5U2NYS6O5U6T7","target":"record","payload":{"canonical_record":{"source":{"id":"1301.2425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-11T09:17:05Z","cross_cats_sorted":[],"title_canon_sha256":"d9ff95077b602644dfcca247c671497035440c811e5b882cfdcbabe4f662de67","abstract_canon_sha256":"3b1f8efb45bb11ed362ce9cccac0fd1aab21e9d639e0edc038cd81d81d9a95bf"},"schema_version":"1.0"},"canonical_sha256":"6d79b6ac8bc82552769a6e25e7769e9fd3eb17d5e8df8954c01ddc1eb26b0ace","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:37.966193Z","signature_b64":"fki/AMt64rde81Kp4Shz9k/KII70wr0OOq4XZqjOljCLLFTyfi06qkVvRZ/XtGRJu3yWSUSnDWesHUzXY1qZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d79b6ac8bc82552769a6e25e7769e9fd3eb17d5e8df8954c01ddc1eb26b0ace","last_reissued_at":"2026-05-18T03:36:37.965771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:37.965771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.2425","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":"2026-05-18T03:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1K7tCQb8nHBMQEbTjiAi9KE8HkeZJpNJvXFhXnOYApe+G42AcRKmthowdF9a0QOo+q6DLzD8OWD3SPEupsn2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:50:59.433950Z"},"content_sha256":"8ea14abe274b79f56ca88c115955f0eea007dee6bbfe12327a5010691c229368","schema_version":"1.0","event_id":"sha256:8ea14abe274b79f56ca88c115955f0eea007dee6bbfe12327a5010691c229368"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NV43NLELZASVE5U2NYS6O5U6T7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence, regularity and uniqueness of weak solutions for a class of incompressible generalized Navier-Stokes system with slip boundary conditions in $\\mathbb{R}^3_+$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Aibin Zang","submitted_at":"2013-01-11T09:17:05Z","abstract_excerpt":"We obtain the existence, regularity, uniqueness of the non-stationary problems of a class of non-Newtonian fluid is a power law fluid with $p>9/5$ in the half-space under slip boundary conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2425","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":"2026-05-18T03:36:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E3IjlVPupoZxMJIEn3jpDm1XtqDyegQPquPw+z92828VSD0RcwrqwdCS4uDH/1sEvZlqIZX1wWu2jWQ9bwniAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:50:59.434631Z"},"content_sha256":"8582f8d05cafea41b01bdff1ab63f50743a6187dc896dcc3b6f614755ecf0344","schema_version":"1.0","event_id":"sha256:8582f8d05cafea41b01bdff1ab63f50743a6187dc896dcc3b6f614755ecf0344"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NV43NLELZASVE5U2NYS6O5U6T7/bundle.json","state_url":"https://pith.science/pith/NV43NLELZASVE5U2NYS6O5U6T7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NV43NLELZASVE5U2NYS6O5U6T7/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":"2026-06-30T02:50:59Z","links":{"resolver":"https://pith.science/pith/NV43NLELZASVE5U2NYS6O5U6T7","bundle":"https://pith.science/pith/NV43NLELZASVE5U2NYS6O5U6T7/bundle.json","state":"https://pith.science/pith/NV43NLELZASVE5U2NYS6O5U6T7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NV43NLELZASVE5U2NYS6O5U6T7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NV43NLELZASVE5U2NYS6O5U6T7","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":"3b1f8efb45bb11ed362ce9cccac0fd1aab21e9d639e0edc038cd81d81d9a95bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-11T09:17:05Z","title_canon_sha256":"d9ff95077b602644dfcca247c671497035440c811e5b882cfdcbabe4f662de67"},"schema_version":"1.0","source":{"id":"1301.2425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2425","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2425v1","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2425","created_at":"2026-05-18T03:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"NV43NLELZASV","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NV43NLELZASVE5U2","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NV43NLEL","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:8582f8d05cafea41b01bdff1ab63f50743a6187dc896dcc3b6f614755ecf0344","target":"graph","created_at":"2026-05-18T03:36:37Z","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 obtain the existence, regularity, uniqueness of the non-stationary problems of a class of non-Newtonian fluid is a power law fluid with $p>9/5$ in the half-space under slip boundary conditions.","authors_text":"Aibin Zang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-11T09:17:05Z","title":"Existence, regularity and uniqueness of weak solutions for a class of incompressible generalized Navier-Stokes system with slip boundary conditions in $\\mathbb{R}^3_+$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2425","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":"sha256:8ea14abe274b79f56ca88c115955f0eea007dee6bbfe12327a5010691c229368","target":"record","created_at":"2026-05-18T03:36:37Z","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":"3b1f8efb45bb11ed362ce9cccac0fd1aab21e9d639e0edc038cd81d81d9a95bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-11T09:17:05Z","title_canon_sha256":"d9ff95077b602644dfcca247c671497035440c811e5b882cfdcbabe4f662de67"},"schema_version":"1.0","source":{"id":"1301.2425","kind":"arxiv","version":1}},"canonical_sha256":"6d79b6ac8bc82552769a6e25e7769e9fd3eb17d5e8df8954c01ddc1eb26b0ace","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d79b6ac8bc82552769a6e25e7769e9fd3eb17d5e8df8954c01ddc1eb26b0ace","first_computed_at":"2026-05-18T03:36:37.965771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:37.965771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fki/AMt64rde81Kp4Shz9k/KII70wr0OOq4XZqjOljCLLFTyfi06qkVvRZ/XtGRJu3yWSUSnDWesHUzXY1qZDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:37.966193Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ea14abe274b79f56ca88c115955f0eea007dee6bbfe12327a5010691c229368","sha256:8582f8d05cafea41b01bdff1ab63f50743a6187dc896dcc3b6f614755ecf0344"],"state_sha256":"8ca375787299fde1c7ab57be7a1ba85244a09e5fd2a42a5601caf697d809d938"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GmV9GGXs3oU3W24ghoI6qgJcr4hniS0ng/B8hucI2Q7I1nqZDIt25V/SXgF2BgyPGoXB9s1WHtstrlfoNAgKBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T02:50:59.438028Z","bundle_sha256":"6eb40415904db081b0df2831e6216de824c92e8f33e3ae9e1fedf1bcd6527fb6"}}