{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YLQZ3YLVVI6YIBV67IT445NKAC","short_pith_number":"pith:YLQZ3YLV","canonical_record":{"source":{"id":"1503.04273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-03-14T05:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"389743eddf404e9147e3011e15b00f11a0b34edec6824953fc4eec73cf52f074","abstract_canon_sha256":"a2af35beb8e3311b64747752ec244ee697006139460581a4fdad2702e9bbb61c"},"schema_version":"1.0"},"canonical_sha256":"c2e19de175aa3d8406befa27ce75aa008e3039078d2a0d278bf94be713351eed","source":{"kind":"arxiv","id":"1503.04273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04273","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04273v1","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04273","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"pith_short_12","alias_value":"YLQZ3YLVVI6Y","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YLQZ3YLVVI6YIBV6","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YLQZ3YLV","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YLQZ3YLVVI6YIBV67IT445NKAC","target":"record","payload":{"canonical_record":{"source":{"id":"1503.04273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-03-14T05:44:05Z","cross_cats_sorted":[],"title_canon_sha256":"389743eddf404e9147e3011e15b00f11a0b34edec6824953fc4eec73cf52f074","abstract_canon_sha256":"a2af35beb8e3311b64747752ec244ee697006139460581a4fdad2702e9bbb61c"},"schema_version":"1.0"},"canonical_sha256":"c2e19de175aa3d8406befa27ce75aa008e3039078d2a0d278bf94be713351eed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:50.662145Z","signature_b64":"IKv/PqBe++vq1F3/rlBEnIpfPV7WitWzHyUpKo/X30Oso5yrTfTAEko7N4KMXMlpFtB6BpqgyEYsvmMXsif+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2e19de175aa3d8406befa27ce75aa008e3039078d2a0d278bf94be713351eed","last_reissued_at":"2026-05-18T01:40:50.661506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:50.661506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.04273","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":"2026-05-18T01:40:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ULmxNUM6z26ZsDQye6dEWjsWuWgphEYBQ6/pqeraTIduPem9/gHtoCpn2gHPBqdaEZGhDgF6S+D9nCeXknRoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:06:50.266236Z"},"content_sha256":"52a88bcdaf56170d692f279a875c84303be848b7b51c49ce7b492b1ff16175fc","schema_version":"1.0","event_id":"sha256:52a88bcdaf56170d692f279a875c84303be848b7b51c49ce7b492b1ff16175fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YLQZ3YLVVI6YIBV67IT445NKAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-radial oscillations of the magnetized rotating stars with purely toroidal magnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Hidetaka Asai, Shijun Yoshida, Umin Lee","submitted_at":"2015-03-14T05:44:05Z","abstract_excerpt":"We calculate non-axisymmetric oscillations of uniformly rotating polytropes magnetized with a purely toroidal magnetic field, taking account of the effects of the deformation due to the magnetic field. As for rotation, we consider only the effects of Coriolis force on the oscillation modes, ignoring those of the centrifugal force, that is, of the rotational deformation of the star. Since separation of variables is not possible for the oscillation of rotating magnetized stars, we employ finite series expansions for the perturbations using spherical harmonic functions. We calculate magnetically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04273","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":"2026-05-18T01:40:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZhytuixCaXIB2/Pxi1wCIOpx8qKW1HDCyrc+n+HVDaDiPET5LWik9I/DjtlU9MoiogLPVIDiWQn83+oWkCaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:06:50.266626Z"},"content_sha256":"e735da5d6e31be2a645decb781c9b970a68d102abfef405c0209c4fd93e4ea2f","schema_version":"1.0","event_id":"sha256:e735da5d6e31be2a645decb781c9b970a68d102abfef405c0209c4fd93e4ea2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YLQZ3YLVVI6YIBV67IT445NKAC/bundle.json","state_url":"https://pith.science/pith/YLQZ3YLVVI6YIBV67IT445NKAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YLQZ3YLVVI6YIBV67IT445NKAC/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":"2026-05-24T05:06:50Z","links":{"resolver":"https://pith.science/pith/YLQZ3YLVVI6YIBV67IT445NKAC","bundle":"https://pith.science/pith/YLQZ3YLVVI6YIBV67IT445NKAC/bundle.json","state":"https://pith.science/pith/YLQZ3YLVVI6YIBV67IT445NKAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YLQZ3YLVVI6YIBV67IT445NKAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YLQZ3YLVVI6YIBV67IT445NKAC","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":"a2af35beb8e3311b64747752ec244ee697006139460581a4fdad2702e9bbb61c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-03-14T05:44:05Z","title_canon_sha256":"389743eddf404e9147e3011e15b00f11a0b34edec6824953fc4eec73cf52f074"},"schema_version":"1.0","source":{"id":"1503.04273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04273","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04273v1","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04273","created_at":"2026-05-18T01:40:50Z"},{"alias_kind":"pith_short_12","alias_value":"YLQZ3YLVVI6Y","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YLQZ3YLVVI6YIBV6","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YLQZ3YLV","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:e735da5d6e31be2a645decb781c9b970a68d102abfef405c0209c4fd93e4ea2f","target":"graph","created_at":"2026-05-18T01:40:50Z","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 calculate non-axisymmetric oscillations of uniformly rotating polytropes magnetized with a purely toroidal magnetic field, taking account of the effects of the deformation due to the magnetic field. As for rotation, we consider only the effects of Coriolis force on the oscillation modes, ignoring those of the centrifugal force, that is, of the rotational deformation of the star. Since separation of variables is not possible for the oscillation of rotating magnetized stars, we employ finite series expansions for the perturbations using spherical harmonic functions. We calculate magnetically ","authors_text":"Hidetaka Asai, Shijun Yoshida, Umin Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-03-14T05:44:05Z","title":"Non-radial oscillations of the magnetized rotating stars with purely toroidal magnetic fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04273","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":"sha256:52a88bcdaf56170d692f279a875c84303be848b7b51c49ce7b492b1ff16175fc","target":"record","created_at":"2026-05-18T01:40:50Z","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":"a2af35beb8e3311b64747752ec244ee697006139460581a4fdad2702e9bbb61c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-03-14T05:44:05Z","title_canon_sha256":"389743eddf404e9147e3011e15b00f11a0b34edec6824953fc4eec73cf52f074"},"schema_version":"1.0","source":{"id":"1503.04273","kind":"arxiv","version":1}},"canonical_sha256":"c2e19de175aa3d8406befa27ce75aa008e3039078d2a0d278bf94be713351eed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2e19de175aa3d8406befa27ce75aa008e3039078d2a0d278bf94be713351eed","first_computed_at":"2026-05-18T01:40:50.661506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:50.661506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IKv/PqBe++vq1F3/rlBEnIpfPV7WitWzHyUpKo/X30Oso5yrTfTAEko7N4KMXMlpFtB6BpqgyEYsvmMXsif+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:50.662145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52a88bcdaf56170d692f279a875c84303be848b7b51c49ce7b492b1ff16175fc","sha256:e735da5d6e31be2a645decb781c9b970a68d102abfef405c0209c4fd93e4ea2f"],"state_sha256":"62de24738aae05959744e683145f6425fdebfff4fd1c230f466ac1f37b21ce84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aF0mHqcrgDGedb+V7C6DtsB+Jce2vV1xBbvTZCnCEBRbYyfmgWspdU243taYPNJFmPE9zXd/Y76z4yTimoRVCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:06:50.269451Z","bundle_sha256":"e205603f8730c6541691625593b29dacb89e1f4f3aae8abc4872db2e53d3022e"}}