{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KUQUENYKFZY3VXIT4LVPJAKQCV","short_pith_number":"pith:KUQUENYK","canonical_record":{"source":{"id":"1607.06297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-21T12:43:02Z","cross_cats_sorted":[],"title_canon_sha256":"73fb102b2f44f71c570b9d5ac9732e13c3572c274e14d701ac43cd94c518dacc","abstract_canon_sha256":"5c3d2a5a3ca06fa9dfa99fc4ff902aa3c1f5c381bd859425832db326af103ae4"},"schema_version":"1.0"},"canonical_sha256":"552142370a2e71badd13e2eaf4815015510119b8f7881bff78f668bde274f9d8","source":{"kind":"arxiv","id":"1607.06297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06297","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06297v1","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06297","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"KUQUENYKFZY3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KUQUENYKFZY3VXIT","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KUQUENYK","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KUQUENYKFZY3VXIT4LVPJAKQCV","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-21T12:43:02Z","cross_cats_sorted":[],"title_canon_sha256":"73fb102b2f44f71c570b9d5ac9732e13c3572c274e14d701ac43cd94c518dacc","abstract_canon_sha256":"5c3d2a5a3ca06fa9dfa99fc4ff902aa3c1f5c381bd859425832db326af103ae4"},"schema_version":"1.0"},"canonical_sha256":"552142370a2e71badd13e2eaf4815015510119b8f7881bff78f668bde274f9d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:42.087535Z","signature_b64":"jwQoGFt04uyImt2GLnh8/A0PxxUKCaKbeXWSi//ArPacZ/ER1044XKa990TjfLj9VYJATS82cQHhwzdgWTq2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"552142370a2e71badd13e2eaf4815015510119b8f7881bff78f668bde274f9d8","last_reissued_at":"2026-05-18T01:10:42.087154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:42.087154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06297","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":"2026-05-18T01:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NPuln1CNPwHvJdOV10I1p2EMDAiizLSS1PvFxfWC/oc95XO3POFnhRrYGQ90vSwA5w+jNUHTaFVjBtcaiQdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:18:40.987600Z"},"content_sha256":"050903600cf7ef89c254986c116930c8d1483d7fdf9d13e60702afc5edc74b22","schema_version":"1.0","event_id":"sha256:050903600cf7ef89c254986c116930c8d1483d7fdf9d13e60702afc5edc74b22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KUQUENYKFZY3VXIT4LVPJAKQCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global regularity properties of steady shear thinning flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Luigi C. Berselli, Michael Ruzicka","submitted_at":"2016-07-21T12:43:02Z","abstract_excerpt":"In this paper we study the regularity of weak solutions to systems of p-Stokes type, describing the motion of some shear thinning fluids in certain steady regimes. In particular we address the problem of regularity up to the boundary improving previous results especially in terms of the allowed range for the parameter p."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06297","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":"2026-05-18T01:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qGNBvBgL6zowV1cBGEu6I0ERLufEy4SktLZ0/AdKs6TjBhKQbkzRKzyvxUxoJWswwdMzXcUyu0gYsrzacoOkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:18:40.988221Z"},"content_sha256":"e2ede52acc86cbfe4f8d4bd58387cc9dba15846dbdb4310662e1cab8fdb296d9","schema_version":"1.0","event_id":"sha256:e2ede52acc86cbfe4f8d4bd58387cc9dba15846dbdb4310662e1cab8fdb296d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/bundle.json","state_url":"https://pith.science/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/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":"2026-06-08T16:18:40Z","links":{"resolver":"https://pith.science/pith/KUQUENYKFZY3VXIT4LVPJAKQCV","bundle":"https://pith.science/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/bundle.json","state":"https://pith.science/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUQUENYKFZY3VXIT4LVPJAKQCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KUQUENYKFZY3VXIT4LVPJAKQCV","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":"5c3d2a5a3ca06fa9dfa99fc4ff902aa3c1f5c381bd859425832db326af103ae4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-21T12:43:02Z","title_canon_sha256":"73fb102b2f44f71c570b9d5ac9732e13c3572c274e14d701ac43cd94c518dacc"},"schema_version":"1.0","source":{"id":"1607.06297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06297","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06297v1","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06297","created_at":"2026-05-18T01:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"KUQUENYKFZY3","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KUQUENYKFZY3VXIT","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KUQUENYK","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:e2ede52acc86cbfe4f8d4bd58387cc9dba15846dbdb4310662e1cab8fdb296d9","target":"graph","created_at":"2026-05-18T01:10:42Z","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":"In this paper we study the regularity of weak solutions to systems of p-Stokes type, describing the motion of some shear thinning fluids in certain steady regimes. In particular we address the problem of regularity up to the boundary improving previous results especially in terms of the allowed range for the parameter p.","authors_text":"Luigi C. Berselli, Michael Ruzicka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-21T12:43:02Z","title":"Global regularity properties of steady shear thinning flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06297","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":"sha256:050903600cf7ef89c254986c116930c8d1483d7fdf9d13e60702afc5edc74b22","target":"record","created_at":"2026-05-18T01:10:42Z","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":"5c3d2a5a3ca06fa9dfa99fc4ff902aa3c1f5c381bd859425832db326af103ae4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-07-21T12:43:02Z","title_canon_sha256":"73fb102b2f44f71c570b9d5ac9732e13c3572c274e14d701ac43cd94c518dacc"},"schema_version":"1.0","source":{"id":"1607.06297","kind":"arxiv","version":1}},"canonical_sha256":"552142370a2e71badd13e2eaf4815015510119b8f7881bff78f668bde274f9d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"552142370a2e71badd13e2eaf4815015510119b8f7881bff78f668bde274f9d8","first_computed_at":"2026-05-18T01:10:42.087154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:42.087154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jwQoGFt04uyImt2GLnh8/A0PxxUKCaKbeXWSi//ArPacZ/ER1044XKa990TjfLj9VYJATS82cQHhwzdgWTq2BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:42.087535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:050903600cf7ef89c254986c116930c8d1483d7fdf9d13e60702afc5edc74b22","sha256:e2ede52acc86cbfe4f8d4bd58387cc9dba15846dbdb4310662e1cab8fdb296d9"],"state_sha256":"8fc2528d9e53bfbbfaf764a02947534c5ad1565c7579adf528143c1f924bf5e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YREoiImhgI0AvYWXszUqcxAZsAhWxV3T994qWwa2Yr8FaKb0Qmm7UnY/ySgjn/k72mHy9Ga5Ih+6rmGKS+mXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:18:40.991742Z","bundle_sha256":"27df8ce9e572eb9af63d9aba5e3384bdea41a446cebae9f49b09557c6a1196e9"}}