{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XYI47K5YQZYP4KAJBLCFOJGAFA","short_pith_number":"pith:XYI47K5Y","canonical_record":{"source":{"id":"2411.15853","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-11-24T14:16:55Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b47694ac85e2cfb860f8c046af009520f31705d1ede32b7ca035281d34c2b0b9","abstract_canon_sha256":"7f2ed9a5e60cb31de7d9d79e81ca662dc4508f1b203ed8db59b961e4ae147abf"},"schema_version":"1.0"},"canonical_sha256":"be11cfabb88670fe28090ac45724c028252bd65bfd38bb484a372feb51d2d86e","source":{"kind":"arxiv","id":"2411.15853","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.15853","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.15853v2","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15853","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"XYI47K5YQZYP","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_16","alias_value":"XYI47K5YQZYP4KAJ","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_8","alias_value":"XYI47K5Y","created_at":"2026-07-05T09:45:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XYI47K5YQZYP4KAJBLCFOJGAFA","target":"record","payload":{"canonical_record":{"source":{"id":"2411.15853","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-11-24T14:16:55Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"b47694ac85e2cfb860f8c046af009520f31705d1ede32b7ca035281d34c2b0b9","abstract_canon_sha256":"7f2ed9a5e60cb31de7d9d79e81ca662dc4508f1b203ed8db59b961e4ae147abf"},"schema_version":"1.0"},"canonical_sha256":"be11cfabb88670fe28090ac45724c028252bd65bfd38bb484a372feb51d2d86e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:45:58.570872Z","signature_b64":"vO65eilsfOvG9LwpbVes27D8A3Ao0mwLtr4rIOZTK9sYDJRmtVIsWWP5k3nb1iw6CUl4CxrH+I5iyHND3aT6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be11cfabb88670fe28090ac45724c028252bd65bfd38bb484a372feb51d2d86e","last_reissued_at":"2026-07-05T09:45:58.570418Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:45:58.570418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.15853","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":"2026-07-05T09:45:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/KaUtWUj4MI7r2NGybN4Bua1NbTch0rwvdkl5U5roA86uiAiknLsCU2BrcPPpUulGtjbHsJoBejsUdJB+T0gBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:26:25.876792Z"},"content_sha256":"46fdab82e9346d80ebcd49864c2f2ab6b39c421266328fcaaf9fee9f4d563ceb","schema_version":"1.0","event_id":"sha256:46fdab82e9346d80ebcd49864c2f2ab6b39c421266328fcaaf9fee9f4d563ceb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XYI47K5YQZYP4KAJBLCFOJGAFA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stokes flow of incompressible liquid through a conical diffuser with partial slip boundary condition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Peter Lebedev-Stepanov","submitted_at":"2024-11-24T14:16:55Z","abstract_excerpt":"An alternative form of the general solution of the linearized stationary Navier-Stokes equations for an incompressible fluid in spherical coordinates is obtained by the vector potential method. A previously published solution to this problem, dating back to the paper by Sampson, is given in terms of a stream function, which leads to formulas that are difficult to apply in practice. The presented form of solution is applied to the problem of liquid flowing through a conical diffuser under a partial slip boundary condition for a certain slip length lambda. Recurrent relations are obtained that a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15853","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.15853/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:45:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccq3Bm9c2qe0XVyW7dhbqlbT6o8wB/NN7N2lJ2ry1TKiYGzmQxxwD3anAv121eT1XPt1ha/rl027Pk1TGk4UBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:26:25.877737Z"},"content_sha256":"833565950619249d9dc6c75ba301b0d4ba86b6a96dfc7c8072bfccbfe6f03b55","schema_version":"1.0","event_id":"sha256:833565950619249d9dc6c75ba301b0d4ba86b6a96dfc7c8072bfccbfe6f03b55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/bundle.json","state_url":"https://pith.science/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/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":"2026-08-13T02:26:25Z","links":{"resolver":"https://pith.science/pith/XYI47K5YQZYP4KAJBLCFOJGAFA","bundle":"https://pith.science/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/bundle.json","state":"https://pith.science/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYI47K5YQZYP4KAJBLCFOJGAFA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XYI47K5YQZYP4KAJBLCFOJGAFA","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":"7f2ed9a5e60cb31de7d9d79e81ca662dc4508f1b203ed8db59b961e4ae147abf","cross_cats_sorted":["cond-mat.soft"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-11-24T14:16:55Z","title_canon_sha256":"b47694ac85e2cfb860f8c046af009520f31705d1ede32b7ca035281d34c2b0b9"},"schema_version":"1.0","source":{"id":"2411.15853","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.15853","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.15853v2","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15853","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"XYI47K5YQZYP","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_16","alias_value":"XYI47K5YQZYP4KAJ","created_at":"2026-07-05T09:45:58Z"},{"alias_kind":"pith_short_8","alias_value":"XYI47K5Y","created_at":"2026-07-05T09:45:58Z"}],"graph_snapshots":[{"event_id":"sha256:833565950619249d9dc6c75ba301b0d4ba86b6a96dfc7c8072bfccbfe6f03b55","target":"graph","created_at":"2026-07-05T09:45:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.15853/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An alternative form of the general solution of the linearized stationary Navier-Stokes equations for an incompressible fluid in spherical coordinates is obtained by the vector potential method. A previously published solution to this problem, dating back to the paper by Sampson, is given in terms of a stream function, which leads to formulas that are difficult to apply in practice. The presented form of solution is applied to the problem of liquid flowing through a conical diffuser under a partial slip boundary condition for a certain slip length lambda. Recurrent relations are obtained that a","authors_text":"Peter Lebedev-Stepanov","cross_cats":["cond-mat.soft"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-11-24T14:16:55Z","title":"Stokes flow of incompressible liquid through a conical diffuser with partial slip boundary condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15853","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":"sha256:46fdab82e9346d80ebcd49864c2f2ab6b39c421266328fcaaf9fee9f4d563ceb","target":"record","created_at":"2026-07-05T09:45:58Z","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":"7f2ed9a5e60cb31de7d9d79e81ca662dc4508f1b203ed8db59b961e4ae147abf","cross_cats_sorted":["cond-mat.soft"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-11-24T14:16:55Z","title_canon_sha256":"b47694ac85e2cfb860f8c046af009520f31705d1ede32b7ca035281d34c2b0b9"},"schema_version":"1.0","source":{"id":"2411.15853","kind":"arxiv","version":2}},"canonical_sha256":"be11cfabb88670fe28090ac45724c028252bd65bfd38bb484a372feb51d2d86e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be11cfabb88670fe28090ac45724c028252bd65bfd38bb484a372feb51d2d86e","first_computed_at":"2026-07-05T09:45:58.570418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:45:58.570418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vO65eilsfOvG9LwpbVes27D8A3Ao0mwLtr4rIOZTK9sYDJRmtVIsWWP5k3nb1iw6CUl4CxrH+I5iyHND3aT6Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:45:58.570872Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.15853","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46fdab82e9346d80ebcd49864c2f2ab6b39c421266328fcaaf9fee9f4d563ceb","sha256:833565950619249d9dc6c75ba301b0d4ba86b6a96dfc7c8072bfccbfe6f03b55"],"state_sha256":"687c2172050e51b70ba8a81147fb8d86b67de8f9b62b2b7aedd91e04a5f72563"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sxi4WWVVEMO8heYymqgIIHPYOMWQVJu+BJGAXXp1WwQuU1umgRbdkQFAQzEBeQDEnCpjxYORfHPUrKD8pb1xAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T02:26:25.902376Z","bundle_sha256":"ec014acf87da9cf02a16bd2991ecc24f76d28a490648c284476a88f7828c2410"}}