{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:PCY2QAOWWH6UH7JDN4A3KAMTQ5","short_pith_number":"pith:PCY2QAOW","canonical_record":{"source":{"id":"1010.4375","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-10-21T05:46:17Z","cross_cats_sorted":[],"title_canon_sha256":"c051ea97d14bf16a621e7f1ca2a458c2a151ff4899fcf226a309e14671758133","abstract_canon_sha256":"9ab32c27cc9ea99f5589cb26550e3f59629ffd2d9c38cd617844e9637541a60b"},"schema_version":"1.0"},"canonical_sha256":"78b1a801d6b1fd43fd236f01b5019387566ef98bac060ac2a2bad9010310b95b","source":{"kind":"arxiv","id":"1010.4375","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4375","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4375v1","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4375","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"PCY2QAOWWH6U","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PCY2QAOWWH6UH7JD","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PCY2QAOW","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:PCY2QAOWWH6UH7JDN4A3KAMTQ5","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4375","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-10-21T05:46:17Z","cross_cats_sorted":[],"title_canon_sha256":"c051ea97d14bf16a621e7f1ca2a458c2a151ff4899fcf226a309e14671758133","abstract_canon_sha256":"9ab32c27cc9ea99f5589cb26550e3f59629ffd2d9c38cd617844e9637541a60b"},"schema_version":"1.0"},"canonical_sha256":"78b1a801d6b1fd43fd236f01b5019387566ef98bac060ac2a2bad9010310b95b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:58.769943Z","signature_b64":"OBXrBj0x/VIpc5jdzbE0jTiTxpeNPSjvaV2ttacoNetyRrZc7X0N/D9xzCdsOA0lOCuiAyS5LL+HE/vvCYx+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78b1a801d6b1fd43fd236f01b5019387566ef98bac060ac2a2bad9010310b95b","last_reissued_at":"2026-05-18T04:38:58.769484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:58.769484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4375","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":"2026-05-18T04:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOPcIHXp0qryt4Ktym54riCQVhesgPpnHO8uffTERWSnmjrhRNGKvahsOGMRVe+QRGA7dy0twDBJ8+V6bKQICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:33:51.239111Z"},"content_sha256":"4a58d7003500e3276654ecec395704b89abe93a3923bfd131896e16591e87698","schema_version":"1.0","event_id":"sha256:4a58d7003500e3276654ecec395704b89abe93a3923bfd131896e16591e87698"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:PCY2QAOWWH6UH7JDN4A3KAMTQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa \\textit{Aequorea victoria}","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Kamran Mohseni, Mehmet Sahin","submitted_at":"2010-10-21T05:46:17Z","abstract_excerpt":"A new geometrically conservative arbitrary Lagrangian-Eulerian (ALE) formulation is presented for the moving boundary problems in the swirl-free cylindrical coordinates. The governing equations are multiplied with the radial distance and integrated over arbitrary moving Lagrangian-Eulerian quadrilateral elements. Therefore, the continuity and the geometric conservation equations take very simple form similar to those of the Cartesian coordinates. The continuity equation is satisfied exactly within each element and a special attention is given to satisfy the geometric conservation law (GCL) at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4375","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":"2026-05-18T04:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFa2zEr7g+C5uyWuZMP7MrPqpgFjZwz02Ql4PMqpd03pJ9o4i4IW1TU1v+//JPdik6v5za/vneV/YSOfuz0YBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:33:51.239813Z"},"content_sha256":"048c183fe4dbf89b053046783548c74acc48438951a29eb142e8878003b4337a","schema_version":"1.0","event_id":"sha256:048c183fe4dbf89b053046783548c74acc48438951a29eb142e8878003b4337a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/bundle.json","state_url":"https://pith.science/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/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":"2026-06-01T01:33:51Z","links":{"resolver":"https://pith.science/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5","bundle":"https://pith.science/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/bundle.json","state":"https://pith.science/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCY2QAOWWH6UH7JDN4A3KAMTQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PCY2QAOWWH6UH7JDN4A3KAMTQ5","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":"9ab32c27cc9ea99f5589cb26550e3f59629ffd2d9c38cd617844e9637541a60b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-10-21T05:46:17Z","title_canon_sha256":"c051ea97d14bf16a621e7f1ca2a458c2a151ff4899fcf226a309e14671758133"},"schema_version":"1.0","source":{"id":"1010.4375","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4375","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4375v1","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4375","created_at":"2026-05-18T04:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"PCY2QAOWWH6U","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PCY2QAOWWH6UH7JD","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PCY2QAOW","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:048c183fe4dbf89b053046783548c74acc48438951a29eb142e8878003b4337a","target":"graph","created_at":"2026-05-18T04:38:58Z","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"},"paper":{"abstract_excerpt":"A new geometrically conservative arbitrary Lagrangian-Eulerian (ALE) formulation is presented for the moving boundary problems in the swirl-free cylindrical coordinates. The governing equations are multiplied with the radial distance and integrated over arbitrary moving Lagrangian-Eulerian quadrilateral elements. Therefore, the continuity and the geometric conservation equations take very simple form similar to those of the Cartesian coordinates. The continuity equation is satisfied exactly within each element and a special attention is given to satisfy the geometric conservation law (GCL) at ","authors_text":"Kamran Mohseni, Mehmet Sahin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-10-21T05:46:17Z","title":"An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa \\textit{Aequorea victoria}"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4375","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":"sha256:4a58d7003500e3276654ecec395704b89abe93a3923bfd131896e16591e87698","target":"record","created_at":"2026-05-18T04:38:58Z","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":"9ab32c27cc9ea99f5589cb26550e3f59629ffd2d9c38cd617844e9637541a60b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-10-21T05:46:17Z","title_canon_sha256":"c051ea97d14bf16a621e7f1ca2a458c2a151ff4899fcf226a309e14671758133"},"schema_version":"1.0","source":{"id":"1010.4375","kind":"arxiv","version":1}},"canonical_sha256":"78b1a801d6b1fd43fd236f01b5019387566ef98bac060ac2a2bad9010310b95b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78b1a801d6b1fd43fd236f01b5019387566ef98bac060ac2a2bad9010310b95b","first_computed_at":"2026-05-18T04:38:58.769484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:58.769484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBXrBj0x/VIpc5jdzbE0jTiTxpeNPSjvaV2ttacoNetyRrZc7X0N/D9xzCdsOA0lOCuiAyS5LL+HE/vvCYx+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:58.769943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4375","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a58d7003500e3276654ecec395704b89abe93a3923bfd131896e16591e87698","sha256:048c183fe4dbf89b053046783548c74acc48438951a29eb142e8878003b4337a"],"state_sha256":"378d6025676c5a88269ce9edd900eb46fef98435ad3873c15e34b7acf0becfa7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V+ACaW5zTyArVX0CoDOHo9VVA5gulz62x3Bli2C1CT2uZYAVg9+Uj1yu8hI8T6+TInzUz25RVhwdzEFpgRuqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:33:51.243391Z","bundle_sha256":"dbe6c0f3d376489b8dbf546087b02caf55ed14a9f3827dd4df1def7a15bf9795"}}