{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CPXF7P26WDARQRSSF3JG6YWYJR","short_pith_number":"pith:CPXF7P26","canonical_record":{"source":{"id":"1904.05221","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-04-10T14:43:37Z","cross_cats_sorted":["astro-ph.EP","physics.geo-ph"],"title_canon_sha256":"7d1341af04d639e895869eea6b81a830372dccafeae465e9aaac57c5de51deb0","abstract_canon_sha256":"62f1c160e0050eadf4c2da67a5a5abe25230ddfec3f4c9f9b8335ee3cd15ccf4"},"schema_version":"1.0"},"canonical_sha256":"13ee5fbf5eb0c11846522ed26f62d84c4404a92225dd588db601b9fcd27a5725","source":{"kind":"arxiv","id":"1904.05221","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05221","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05221v1","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05221","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"CPXF7P26WDAR","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CPXF7P26WDARQRSS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CPXF7P26","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CPXF7P26WDARQRSSF3JG6YWYJR","target":"record","payload":{"canonical_record":{"source":{"id":"1904.05221","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-04-10T14:43:37Z","cross_cats_sorted":["astro-ph.EP","physics.geo-ph"],"title_canon_sha256":"7d1341af04d639e895869eea6b81a830372dccafeae465e9aaac57c5de51deb0","abstract_canon_sha256":"62f1c160e0050eadf4c2da67a5a5abe25230ddfec3f4c9f9b8335ee3cd15ccf4"},"schema_version":"1.0"},"canonical_sha256":"13ee5fbf5eb0c11846522ed26f62d84c4404a92225dd588db601b9fcd27a5725","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:53.789015Z","signature_b64":"NZbxbexK7LdEIqaHH6j3FQC5yWbQ4jB1BsJPReCuYrtwl5pvL4wE4jg1N1G+pkA744DRph3tTq+jKsE6VC9QDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13ee5fbf5eb0c11846522ed26f62d84c4404a92225dd588db601b9fcd27a5725","last_reissued_at":"2026-05-17T23:48:53.788624Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:53.788624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.05221","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":"2026-05-17T23:48:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ESC5wa/o6Ek+4uq4uvt4gS+QRDhKmNUpY4N05mgQspQ+5CKGiB/FeJUV5u/lPjOxy1hGzG3YR1xhG+/zjC+UCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:11:50.824935Z"},"content_sha256":"38f564d1537c50363a0ebd67db794deccd0db19fb76e2840b2f836b306dcfb8c","schema_version":"1.0","event_id":"sha256:38f564d1537c50363a0ebd67db794deccd0db19fb76e2840b2f836b306dcfb8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CPXF7P26WDARQRSSF3JG6YWYJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inertial Modes in Near-Spherical Geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP","physics.geo-ph"],"primary_cat":"physics.flu-dyn","authors_text":"A. Trinh, J. Rekier, S. A. Triana, V. Dehant","submitted_at":"2019-04-10T14:43:37Z","abstract_excerpt":"We propose a numerical method to compute the inertial modes of a container with near-spherical geometry based on the fully spectral discretisation of the angular and radial directions using spherical harmonics and Gegenbauer polynomial expansion respectively. This allows to solve simultaneously the Poincare equation and the no penetration condition as an algebraic polynomial eigenvalue problem. The inertial modes of an exact oblate spheroid are recovered to machine precision using an appropriate set of spheroidal coordinates. We show how other boundaries that deviate slightly from a sphere can"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05221","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":"2026-05-17T23:48:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fX5Itvb3o5zcAgVYRRJXfS6DF5ZOvaOVqU54bT/Z74PSXI3uj9+qunH2GygubItLTMxfenBmOy+TPBXjYYWMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:11:50.825568Z"},"content_sha256":"6d2eff2abd4f6d24d7f8fe5141b455a2f214d7b63b82205680d79e6eeb39d7b9","schema_version":"1.0","event_id":"sha256:6d2eff2abd4f6d24d7f8fe5141b455a2f214d7b63b82205680d79e6eeb39d7b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPXF7P26WDARQRSSF3JG6YWYJR/bundle.json","state_url":"https://pith.science/pith/CPXF7P26WDARQRSSF3JG6YWYJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPXF7P26WDARQRSSF3JG6YWYJR/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":"2026-05-25T23:11:50Z","links":{"resolver":"https://pith.science/pith/CPXF7P26WDARQRSSF3JG6YWYJR","bundle":"https://pith.science/pith/CPXF7P26WDARQRSSF3JG6YWYJR/bundle.json","state":"https://pith.science/pith/CPXF7P26WDARQRSSF3JG6YWYJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPXF7P26WDARQRSSF3JG6YWYJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CPXF7P26WDARQRSSF3JG6YWYJR","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":"62f1c160e0050eadf4c2da67a5a5abe25230ddfec3f4c9f9b8335ee3cd15ccf4","cross_cats_sorted":["astro-ph.EP","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-04-10T14:43:37Z","title_canon_sha256":"7d1341af04d639e895869eea6b81a830372dccafeae465e9aaac57c5de51deb0"},"schema_version":"1.0","source":{"id":"1904.05221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05221","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05221v1","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05221","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"CPXF7P26WDAR","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CPXF7P26WDARQRSS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CPXF7P26","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:6d2eff2abd4f6d24d7f8fe5141b455a2f214d7b63b82205680d79e6eeb39d7b9","target":"graph","created_at":"2026-05-17T23:48:53Z","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 propose a numerical method to compute the inertial modes of a container with near-spherical geometry based on the fully spectral discretisation of the angular and radial directions using spherical harmonics and Gegenbauer polynomial expansion respectively. This allows to solve simultaneously the Poincare equation and the no penetration condition as an algebraic polynomial eigenvalue problem. The inertial modes of an exact oblate spheroid are recovered to machine precision using an appropriate set of spheroidal coordinates. We show how other boundaries that deviate slightly from a sphere can","authors_text":"A. Trinh, J. Rekier, S. A. Triana, V. Dehant","cross_cats":["astro-ph.EP","physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-04-10T14:43:37Z","title":"Inertial Modes in Near-Spherical Geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05221","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":"sha256:38f564d1537c50363a0ebd67db794deccd0db19fb76e2840b2f836b306dcfb8c","target":"record","created_at":"2026-05-17T23:48:53Z","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":"62f1c160e0050eadf4c2da67a5a5abe25230ddfec3f4c9f9b8335ee3cd15ccf4","cross_cats_sorted":["astro-ph.EP","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-04-10T14:43:37Z","title_canon_sha256":"7d1341af04d639e895869eea6b81a830372dccafeae465e9aaac57c5de51deb0"},"schema_version":"1.0","source":{"id":"1904.05221","kind":"arxiv","version":1}},"canonical_sha256":"13ee5fbf5eb0c11846522ed26f62d84c4404a92225dd588db601b9fcd27a5725","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13ee5fbf5eb0c11846522ed26f62d84c4404a92225dd588db601b9fcd27a5725","first_computed_at":"2026-05-17T23:48:53.788624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:53.788624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NZbxbexK7LdEIqaHH6j3FQC5yWbQ4jB1BsJPReCuYrtwl5pvL4wE4jg1N1G+pkA744DRph3tTq+jKsE6VC9QDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:53.789015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38f564d1537c50363a0ebd67db794deccd0db19fb76e2840b2f836b306dcfb8c","sha256:6d2eff2abd4f6d24d7f8fe5141b455a2f214d7b63b82205680d79e6eeb39d7b9"],"state_sha256":"a718a7df735dd4ee864410ccaaf25f1b45db0a6a4e84a730fc57bec100d4c6c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9X6Nc4cuWbxX7rIwvWIq7982BAEI6oUo0WFNRLEn0Oj8BFsig3LvMJUljz+35u2ThhnQHu7zwThJCQdak6cQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:11:50.828210Z","bundle_sha256":"0a62102e80cac681b64fc0f2ef211acf906566e89a169b7be8e1a8559f258cbf"}}