{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:ZIOK4FEHGCDMJYDW46FTCFODF4","short_pith_number":"pith:ZIOK4FEH","schema_version":"1.0","canonical_sha256":"ca1cae14873086c4e076e78b3115c32f2d4988a62e5f0ede42ca9a728c5ab874","source":{"kind":"arxiv","id":"physics/0007007","version":1},"attestation_state":"computed","paper":{"title":"Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum","license":"","headline":"","cross_cats":["astro-ph","cond-mat","nlin.PS"],"primary_cat":"physics.flu-dyn","authors_text":"B. Georgeot, L. Valdettaro, M. Rieutord","submitted_at":"2000-07-05T11:42:26Z","abstract_excerpt":"We investigate the asymptotic properties of inertial modes confined in a spherical shell when viscosity tends to zero. We first consider the mapping made by the characteristics of the hyperbolic equation (Poincar\\'e's equation) satisfied by inviscid solutions. Characteristics are straight lines in a meridional section of the shell, and the mapping shows that, generically, these lines converge towards a periodic orbit which acts like an attractor.\n We then examine the relation between this characteristic path and eigensolutions of the inviscid problem and show that in a purely two-dimensional p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"physics/0007007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2000-07-05T11:42:26Z","cross_cats_sorted":["astro-ph","cond-mat","nlin.PS"],"title_canon_sha256":"b7d9adefbbbf600be1ca28a9e302316dea795bc4b3a9a9b066e02f9303337b97","abstract_canon_sha256":"db71077e2259843cdaf2c869b80c4c39e0246db0374360b9b61dee2d8479b21c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:59.451845Z","signature_b64":"zTVMo8Dt70pwIgNYjPAZ3lSHzOYnltdRcajqYRH5AqZ//+9tqe94gCUwRCD9t2FiUm26QMiXq8DilWugUDsiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca1cae14873086c4e076e78b3115c32f2d4988a62e5f0ede42ca9a728c5ab874","last_reissued_at":"2026-05-17T23:42:59.451437Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:59.451437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum","license":"","headline":"","cross_cats":["astro-ph","cond-mat","nlin.PS"],"primary_cat":"physics.flu-dyn","authors_text":"B. Georgeot, L. Valdettaro, M. Rieutord","submitted_at":"2000-07-05T11:42:26Z","abstract_excerpt":"We investigate the asymptotic properties of inertial modes confined in a spherical shell when viscosity tends to zero. We first consider the mapping made by the characteristics of the hyperbolic equation (Poincar\\'e's equation) satisfied by inviscid solutions. Characteristics are straight lines in a meridional section of the shell, and the mapping shows that, generically, these lines converge towards a periodic orbit which acts like an attractor.\n We then examine the relation between this characteristic path and eigensolutions of the inviscid problem and show that in a purely two-dimensional p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0007007","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"physics/0007007","created_at":"2026-05-17T23:42:59.451496+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0007007v1","created_at":"2026-05-17T23:42:59.451496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0007007","created_at":"2026-05-17T23:42:59.451496+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZIOK4FEHGCDM","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZIOK4FEHGCDMJYDW","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZIOK4FEH","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4","json":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4.json","graph_json":"https://pith.science/api/pith-number/ZIOK4FEHGCDMJYDW46FTCFODF4/graph.json","events_json":"https://pith.science/api/pith-number/ZIOK4FEHGCDMJYDW46FTCFODF4/events.json","paper":"https://pith.science/paper/ZIOK4FEH"},"agent_actions":{"view_html":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4","download_json":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4.json","view_paper":"https://pith.science/paper/ZIOK4FEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0007007&json=true","fetch_graph":"https://pith.science/api/pith-number/ZIOK4FEHGCDMJYDW46FTCFODF4/graph.json","fetch_events":"https://pith.science/api/pith-number/ZIOK4FEHGCDMJYDW46FTCFODF4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4/action/storage_attestation","attest_author":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4/action/author_attestation","sign_citation":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4/action/citation_signature","submit_replication":"https://pith.science/pith/ZIOK4FEHGCDMJYDW46FTCFODF4/action/replication_record"}},"created_at":"2026-05-17T23:42:59.451496+00:00","updated_at":"2026-05-17T23:42:59.451496+00:00"}