{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:J4B4ZGZ2XWY3XJZYTMHOWYLTGU","short_pith_number":"pith:J4B4ZGZ2","schema_version":"1.0","canonical_sha256":"4f03cc9b3abdb1bba7389b0eeb617335127dc5f4ee28daa0b2ab628d8f5c4891","source":{"kind":"arxiv","id":"0707.1727","version":1},"attestation_state":"computed","paper":{"title":"Generalised Inverse-Cowling Approximation for Polar $w$-mode Oscillations of Neutron Stars","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"J. Wu, P.T. Leung","submitted_at":"2007-07-12T02:28:34Z","abstract_excerpt":"Adopting the Lindblom-Detweiler formalism for polar oscillations of neutron stars, we study the $w$-mode oscillation and find that the Lagrangian change in pressure, measured by the physical quantity $X$, is negligibly small. Based on this observation, we develop the generalised inverse-Cowling approximation (GICA) with the approximation $X=X'=0$, where $X'$ is the derivative of $X$ with respect to the circumferential radius, for $w$-mode oscillations of neutron stars. Under GICA, $w$-mode oscillations are described by a second-order differential system, which can yield accurate frequencies an"},"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":"0707.1727","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-07-12T02:28:34Z","cross_cats_sorted":[],"title_canon_sha256":"4f4be070157abbd89b53d0d3df60a31503f7a5fcf6fdff09e789c18042f15ac3","abstract_canon_sha256":"c9af1f7f46b7b78e7162ee8e13c048ee47d2a9c52db78bde719388ed280fcaa6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:04:38.786631Z","signature_b64":"l4qzxate1d1d2Yv2qa4saicv9ue4pbGuuNznVJ8A8wdK0TRsioTCVI8TlkRfQA3YZrnJ2AH6dwQLg3HbR2QADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f03cc9b3abdb1bba7389b0eeb617335127dc5f4ee28daa0b2ab628d8f5c4891","last_reissued_at":"2026-07-04T17:04:38.786242Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:04:38.786242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised Inverse-Cowling Approximation for Polar $w$-mode Oscillations of Neutron Stars","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"J. Wu, P.T. Leung","submitted_at":"2007-07-12T02:28:34Z","abstract_excerpt":"Adopting the Lindblom-Detweiler formalism for polar oscillations of neutron stars, we study the $w$-mode oscillation and find that the Lagrangian change in pressure, measured by the physical quantity $X$, is negligibly small. Based on this observation, we develop the generalised inverse-Cowling approximation (GICA) with the approximation $X=X'=0$, where $X'$ is the derivative of $X$ with respect to the circumferential radius, for $w$-mode oscillations of neutron stars. Under GICA, $w$-mode oscillations are described by a second-order differential system, which can yield accurate frequencies an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.1727","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0707.1727/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0707.1727","created_at":"2026-07-04T17:04:38.786294+00:00"},{"alias_kind":"arxiv_version","alias_value":"0707.1727v1","created_at":"2026-07-04T17:04:38.786294+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.1727","created_at":"2026-07-04T17:04:38.786294+00:00"},{"alias_kind":"pith_short_12","alias_value":"J4B4ZGZ2XWY3","created_at":"2026-07-04T17:04:38.786294+00:00"},{"alias_kind":"pith_short_16","alias_value":"J4B4ZGZ2XWY3XJZY","created_at":"2026-07-04T17:04:38.786294+00:00"},{"alias_kind":"pith_short_8","alias_value":"J4B4ZGZ2","created_at":"2026-07-04T17:04:38.786294+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/J4B4ZGZ2XWY3XJZYTMHOWYLTGU","json":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU.json","graph_json":"https://pith.science/api/pith-number/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/graph.json","events_json":"https://pith.science/api/pith-number/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/events.json","paper":"https://pith.science/paper/J4B4ZGZ2"},"agent_actions":{"view_html":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU","download_json":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU.json","view_paper":"https://pith.science/paper/J4B4ZGZ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0707.1727&json=true","fetch_graph":"https://pith.science/api/pith-number/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/graph.json","fetch_events":"https://pith.science/api/pith-number/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/action/storage_attestation","attest_author":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/action/author_attestation","sign_citation":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/action/citation_signature","submit_replication":"https://pith.science/pith/J4B4ZGZ2XWY3XJZYTMHOWYLTGU/action/replication_record"}},"created_at":"2026-07-04T17:04:38.786294+00:00","updated_at":"2026-07-04T17:04:38.786294+00:00"}