{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:HZKRXWYDZ2ZZ6JPPMSNSR6SX7C","short_pith_number":"pith:HZKRXWYD","canonical_record":{"source":{"id":"gr-qc/9706075","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-06-24T13:52:12Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"01620559c7ce3c87adc4aa8fda7766324ca4dd4be1d117e30ad3ea083333cc87","abstract_canon_sha256":"d5b01fc8a1789a87c43e7a9e6f25373d26dbde87f26ff0f397a214ed6cea8145"},"schema_version":"1.0"},"canonical_sha256":"3e551bdb03ceb39f25ef649b28fa57f8b56abcc00bf57c653fa865b03d7397ff","source":{"kind":"arxiv","id":"gr-qc/9706075","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9706075","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9706075v1","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9706075","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_12","alias_value":"HZKRXWYDZ2ZZ","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_16","alias_value":"HZKRXWYDZ2ZZ6JPP","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_8","alias_value":"HZKRXWYD","created_at":"2026-07-04T15:45:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:HZKRXWYDZ2ZZ6JPPMSNSR6SX7C","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9706075","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-06-24T13:52:12Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"01620559c7ce3c87adc4aa8fda7766324ca4dd4be1d117e30ad3ea083333cc87","abstract_canon_sha256":"d5b01fc8a1789a87c43e7a9e6f25373d26dbde87f26ff0f397a214ed6cea8145"},"schema_version":"1.0"},"canonical_sha256":"3e551bdb03ceb39f25ef649b28fa57f8b56abcc00bf57c653fa865b03d7397ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:45:44.161040Z","signature_b64":"2SxzBWtA5NxY0sDEMthdp80olhASgxHdRhetAXSzfiG2kxnfxfC1KODQIuJP/ho2BG2zrPpTKpFXKk89GiBVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e551bdb03ceb39f25ef649b28fa57f8b56abcc00bf57c653fa865b03d7397ff","last_reissued_at":"2026-07-04T15:45:44.160670Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:45:44.160670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9706075","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":"2026-07-04T15:45:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1g7w9hSXXKPG/PU7h9BYdMo4c4/Jo2jBSt5qKexM56KCbfUrwTopWRcZbAt34HQE+ipjWu68XZIhAD7JAwMuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:39:30.791997Z"},"content_sha256":"16802ac0f6c5ed170586ded876d78f8d713f881f47ebe9f5f153f15b5b942f4d","schema_version":"1.0","event_id":"sha256:16802ac0f6c5ed170586ded876d78f8d713f881f47ebe9f5f153f15b5b942f4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:HZKRXWYDZ2ZZ6JPPMSNSR6SX7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new class of unstable modes of rotating relativistic stars","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Nils Andersson","submitted_at":"1997-06-24T13:52:12Z","abstract_excerpt":"The first numerical study of axial (toroidal) pulsation modes of a slowly rotating relativistic star is presented. The calculation includes terms of first order in $\\epsilon \\equiv \\Omega \\sqrt{R^3/M}<<1$ ($R$ is the radius, $M$ is the mass and $\\Omega$ is the rotation frequency of the star), and accounts for effects due to the coriolis force. Effects due to the centrifugal flattening of the star enter at order $\\epsilon^2$ and are not included in the analysis. It is shown that increased rotation tends to decrease the damping times for prograde modes, while retrograde become longer lived. Spec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9706075","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/gr-qc/9706075/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:45:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fCXlGHeX0NWdMR+vipb2cP2/NAn0iK0c8IXn5btyl6umAISrOgq3BM4fN6sUFUVKIebearghyGThEVT8HjeaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:39:30.792531Z"},"content_sha256":"153663697ae0ac6d215649ccc3eca2b9e3f14de68b362c921bce039383ae2f44","schema_version":"1.0","event_id":"sha256:153663697ae0ac6d215649ccc3eca2b9e3f14de68b362c921bce039383ae2f44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/bundle.json","state_url":"https://pith.science/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/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":"2026-08-17T07:39:30Z","links":{"resolver":"https://pith.science/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C","bundle":"https://pith.science/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/bundle.json","state":"https://pith.science/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZKRXWYDZ2ZZ6JPPMSNSR6SX7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:HZKRXWYDZ2ZZ6JPPMSNSR6SX7C","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":"d5b01fc8a1789a87c43e7a9e6f25373d26dbde87f26ff0f397a214ed6cea8145","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1997-06-24T13:52:12Z","title_canon_sha256":"01620559c7ce3c87adc4aa8fda7766324ca4dd4be1d117e30ad3ea083333cc87"},"schema_version":"1.0","source":{"id":"gr-qc/9706075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9706075","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9706075v1","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9706075","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_12","alias_value":"HZKRXWYDZ2ZZ","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_16","alias_value":"HZKRXWYDZ2ZZ6JPP","created_at":"2026-07-04T15:45:44Z"},{"alias_kind":"pith_short_8","alias_value":"HZKRXWYD","created_at":"2026-07-04T15:45:44Z"}],"graph_snapshots":[{"event_id":"sha256:153663697ae0ac6d215649ccc3eca2b9e3f14de68b362c921bce039383ae2f44","target":"graph","created_at":"2026-07-04T15:45:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/9706075/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The first numerical study of axial (toroidal) pulsation modes of a slowly rotating relativistic star is presented. The calculation includes terms of first order in $\\epsilon \\equiv \\Omega \\sqrt{R^3/M}<<1$ ($R$ is the radius, $M$ is the mass and $\\Omega$ is the rotation frequency of the star), and accounts for effects due to the coriolis force. Effects due to the centrifugal flattening of the star enter at order $\\epsilon^2$ and are not included in the analysis. It is shown that increased rotation tends to decrease the damping times for prograde modes, while retrograde become longer lived. Spec","authors_text":"Nils Andersson","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-06-24T13:52:12Z","title":"A new class of unstable modes of rotating relativistic stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9706075","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":"sha256:16802ac0f6c5ed170586ded876d78f8d713f881f47ebe9f5f153f15b5b942f4d","target":"record","created_at":"2026-07-04T15:45:44Z","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":"d5b01fc8a1789a87c43e7a9e6f25373d26dbde87f26ff0f397a214ed6cea8145","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1997-06-24T13:52:12Z","title_canon_sha256":"01620559c7ce3c87adc4aa8fda7766324ca4dd4be1d117e30ad3ea083333cc87"},"schema_version":"1.0","source":{"id":"gr-qc/9706075","kind":"arxiv","version":1}},"canonical_sha256":"3e551bdb03ceb39f25ef649b28fa57f8b56abcc00bf57c653fa865b03d7397ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e551bdb03ceb39f25ef649b28fa57f8b56abcc00bf57c653fa865b03d7397ff","first_computed_at":"2026-07-04T15:45:44.160670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:45:44.160670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2SxzBWtA5NxY0sDEMthdp80olhASgxHdRhetAXSzfiG2kxnfxfC1KODQIuJP/ho2BG2zrPpTKpFXKk89GiBVDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:45:44.161040Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9706075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16802ac0f6c5ed170586ded876d78f8d713f881f47ebe9f5f153f15b5b942f4d","sha256:153663697ae0ac6d215649ccc3eca2b9e3f14de68b362c921bce039383ae2f44"],"state_sha256":"c3fcd3d4896d84f847adb3938a306ed82fad629eacfaed52cf3191890a52c55f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DpP35+qDFk4GNXOCRtoZNYfTDHDeOsPzCTAcTlYGdxvmTtx2jfXLhboSbg64haz21kEErfDtF8GY6U0XHuNCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T07:39:30.796830Z","bundle_sha256":"056edbef4bab8fdcd8972621f2029164a335b0e8ef70b52d297b094849eaa1b8"}}