{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TH4BGUKPCZQJMWA3LAANHRZGF6","short_pith_number":"pith:TH4BGUKP","canonical_record":{"source":{"id":"1303.6900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-27T18:27:00Z","cross_cats_sorted":[],"title_canon_sha256":"61b4bf3af81d015029e3600301b89449ccaf3842c5cc9d047e12bcabbaf8581a","abstract_canon_sha256":"f96f612f10efc5ea07b7101f073a6335bdc110aff6f938912c31031e0ae8a308"},"schema_version":"1.0"},"canonical_sha256":"99f813514f166096581b5800d3c7262fbae6f2e79d3cc3a11a7a1ff37fd671a0","source":{"kind":"arxiv","id":"1303.6900","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6900","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6900v1","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6900","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"TH4BGUKPCZQJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TH4BGUKPCZQJMWA3","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TH4BGUKP","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TH4BGUKPCZQJMWA3LAANHRZGF6","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-27T18:27:00Z","cross_cats_sorted":[],"title_canon_sha256":"61b4bf3af81d015029e3600301b89449ccaf3842c5cc9d047e12bcabbaf8581a","abstract_canon_sha256":"f96f612f10efc5ea07b7101f073a6335bdc110aff6f938912c31031e0ae8a308"},"schema_version":"1.0"},"canonical_sha256":"99f813514f166096581b5800d3c7262fbae6f2e79d3cc3a11a7a1ff37fd671a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:51.902990Z","signature_b64":"jzzs6qvhOW8GNUEyvBu/kp7cvJVHQaZKHSg17DKgaWZ7TV6WTnPft/zIjBJyQGoZfTnbVcrOnK/zzeT+vU2qDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99f813514f166096581b5800d3c7262fbae6f2e79d3cc3a11a7a1ff37fd671a0","last_reissued_at":"2026-05-18T01:50:51.902194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:51.902194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6900","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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xb23SpzNsHU3As8omOFD+FxZqHy4pNlO/PlHhaeYLPXbQx3XyWeNn89id2WdbxCkPLiul2ilHP0sVxtYXVXCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:02:49.620900Z"},"content_sha256":"72e31c64088589a0a86026d6665b7bae24f059660debc56e6fa4bbd8113e6c0a","schema_version":"1.0","event_id":"sha256:72e31c64088589a0a86026d6665b7bae24f059660debc56e6fa4bbd8113e6c0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TH4BGUKPCZQJMWA3LAANHRZGF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Circular band formation for incompressible viscous fluid--rigid particle mixtures in a rotating cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Roland Glowinski, Suchung Hou, Tsorng-Whay Pan","submitted_at":"2013-03-27T18:27:00Z","abstract_excerpt":"In this paper we have investigated a circular band formation of fluid-rigid particle mixtures in a fully filled cylinder horizontally rotating about its cylinder axis by direct numerical simulation. These phenomena are modeled by the Navier-Stokes equations coupled to the Euler-Newton equations describing the rigid solid motion of the non-neutrally particles. The formation of circular bands studied in this paper is not resulted by mutual interaction between the particles and the periodic inertial waves in the cylinder axis direction (as suggested in Phys. Rev. E, 72, 021407 (2005)), but due to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6900","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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cu/fMpM6TCPLBCWtvS21kyT2VbdptknovRrp7jAy+we41B0d3ODPtqu+jf3VL00BnVi98xmtKs84H8MgtnStDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T09:02:49.621614Z"},"content_sha256":"4a16f75dd4050af6957c055f6c18d67efb3968e5c494ea801a5bcda70143db99","schema_version":"1.0","event_id":"sha256:4a16f75dd4050af6957c055f6c18d67efb3968e5c494ea801a5bcda70143db99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/bundle.json","state_url":"https://pith.science/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/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":"2026-06-07T09:02:49Z","links":{"resolver":"https://pith.science/pith/TH4BGUKPCZQJMWA3LAANHRZGF6","bundle":"https://pith.science/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/bundle.json","state":"https://pith.science/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TH4BGUKPCZQJMWA3LAANHRZGF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TH4BGUKPCZQJMWA3LAANHRZGF6","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":"f96f612f10efc5ea07b7101f073a6335bdc110aff6f938912c31031e0ae8a308","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-27T18:27:00Z","title_canon_sha256":"61b4bf3af81d015029e3600301b89449ccaf3842c5cc9d047e12bcabbaf8581a"},"schema_version":"1.0","source":{"id":"1303.6900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6900","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6900v1","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6900","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"TH4BGUKPCZQJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TH4BGUKPCZQJMWA3","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TH4BGUKP","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:4a16f75dd4050af6957c055f6c18d67efb3968e5c494ea801a5bcda70143db99","target":"graph","created_at":"2026-05-18T01:50:51Z","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 have investigated a circular band formation of fluid-rigid particle mixtures in a fully filled cylinder horizontally rotating about its cylinder axis by direct numerical simulation. These phenomena are modeled by the Navier-Stokes equations coupled to the Euler-Newton equations describing the rigid solid motion of the non-neutrally particles. The formation of circular bands studied in this paper is not resulted by mutual interaction between the particles and the periodic inertial waves in the cylinder axis direction (as suggested in Phys. Rev. E, 72, 021407 (2005)), but due to","authors_text":"Roland Glowinski, Suchung Hou, Tsorng-Whay Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-27T18:27:00Z","title":"Circular band formation for incompressible viscous fluid--rigid particle mixtures in a rotating cylinder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6900","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":"sha256:72e31c64088589a0a86026d6665b7bae24f059660debc56e6fa4bbd8113e6c0a","target":"record","created_at":"2026-05-18T01:50:51Z","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":"f96f612f10efc5ea07b7101f073a6335bdc110aff6f938912c31031e0ae8a308","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-27T18:27:00Z","title_canon_sha256":"61b4bf3af81d015029e3600301b89449ccaf3842c5cc9d047e12bcabbaf8581a"},"schema_version":"1.0","source":{"id":"1303.6900","kind":"arxiv","version":1}},"canonical_sha256":"99f813514f166096581b5800d3c7262fbae6f2e79d3cc3a11a7a1ff37fd671a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99f813514f166096581b5800d3c7262fbae6f2e79d3cc3a11a7a1ff37fd671a0","first_computed_at":"2026-05-18T01:50:51.902194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:51.902194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jzzs6qvhOW8GNUEyvBu/kp7cvJVHQaZKHSg17DKgaWZ7TV6WTnPft/zIjBJyQGoZfTnbVcrOnK/zzeT+vU2qDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:51.902990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72e31c64088589a0a86026d6665b7bae24f059660debc56e6fa4bbd8113e6c0a","sha256:4a16f75dd4050af6957c055f6c18d67efb3968e5c494ea801a5bcda70143db99"],"state_sha256":"9d5de797b7de2d872109b6c4aeb29e37a3e7191dae575c4c73371b269ede7daa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RV6A6PSfVS0iVYCeZ3qHrghiAwLtr5DxsgMa82YVxC+b+ItW3BAYUutlNQTKBG9hyyMMwhUsuIdN1ZihCEK/Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T09:02:49.625065Z","bundle_sha256":"80f7f91d60efaa80d7c1e16322df6d0c2b0c38746d35fac947a9ce2ff2c95d60"}}