{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WJ6K7AY4LPWPTEP4KGYCBF7RU7","short_pith_number":"pith:WJ6K7AY4","canonical_record":{"source":{"id":"1512.04900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-15T19:07:08Z","cross_cats_sorted":["astro-ph.HE","gr-qc","nucl-th"],"title_canon_sha256":"b16013c7e22e66f5d26fd58ac35d43310ca69b484784ce25ed54e1cd4a817425","abstract_canon_sha256":"234397066f5cc5155e922de67845c1ff91b078567377221c0d5de06b1439cf46"},"schema_version":"1.0"},"canonical_sha256":"b27caf831c5becf991fc51b02097f1a7e6d0eb4924ed5c4d0e42c3a7dcf13777","source":{"kind":"arxiv","id":"1512.04900","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04900","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04900v1","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04900","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"pith_short_12","alias_value":"WJ6K7AY4LPWP","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WJ6K7AY4LPWPTEP4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WJ6K7AY4","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WJ6K7AY4LPWPTEP4KGYCBF7RU7","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-15T19:07:08Z","cross_cats_sorted":["astro-ph.HE","gr-qc","nucl-th"],"title_canon_sha256":"b16013c7e22e66f5d26fd58ac35d43310ca69b484784ce25ed54e1cd4a817425","abstract_canon_sha256":"234397066f5cc5155e922de67845c1ff91b078567377221c0d5de06b1439cf46"},"schema_version":"1.0"},"canonical_sha256":"b27caf831c5becf991fc51b02097f1a7e6d0eb4924ed5c4d0e42c3a7dcf13777","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:13.927279Z","signature_b64":"3El3bNYu2wPJ5CJ2MOxeB0/u0hjlzoVVWMifpGVpcsy+1VYGUjLU3xDY5J6aZxRFOK95OIXLjhAHRKw/+1KsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b27caf831c5becf991fc51b02097f1a7e6d0eb4924ed5c4d0e42c3a7dcf13777","last_reissued_at":"2026-05-18T01:24:13.926832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:13.926832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04900","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":"2026-05-18T01:24:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RrxkMxF0H2aa2sqXL3J5k3hjV39MSFg1guUKnOoFRdrsjVsOtyLQseQyNEEXV8bBCwVJ88yhg0N7RYaSLbvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T08:20:17.698213Z"},"content_sha256":"4f13eba89e7f97d5274d4d6aa410d60a9c02658fd07a920ac7d05a512a3c0068","schema_version":"1.0","event_id":"sha256:4f13eba89e7f97d5274d4d6aa410d60a9c02658fd07a920ac7d05a512a3c0068"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WJ6K7AY4LPWPTEP4KGYCBF7RU7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Oscillations of superfluid hyperon stars: decoupling scheme and g-modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","gr-qc","nucl-th"],"primary_cat":"astro-ph.SR","authors_text":"M.E. Gusakov (Ioffe Institute), V.A. Dommes","submitted_at":"2015-12-15T19:07:08Z","abstract_excerpt":"We analyse the oscillations of general relativistic superfluid hyperon stars, following the approach suggested by Gusakov & Kantor and Gusakov et al. and generalizing it to the nucleon-hyperon matter. We show that the equations governing the oscillations can be split into two weakly coupled systems with the coupling parameters $s_{\\rm e}$, $s_{\\rm \\mu}$, and $s_{\\rm str}$. The approximation $s_{\\rm e} = s_{\\rm \\mu} = s_{\\rm str} = 0$ (decoupling approximation) allows one to drastically simplify the calculations of stellar oscillation spectra. An efficiency of the presented scheme is illustrate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04900","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":"2026-05-18T01:24:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2O1574r49Jnjw8r0fZ7z5Smr4uGGZxwFetzRqipUAhR4Hx2BB3vT4Kl8ux53d6cro00GnoSNE0d/sxzEgkADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T08:20:17.698819Z"},"content_sha256":"5a20490acb4fbf9b8635fd6f23f7deb7723c6949f9245518faea9e1e609db1dd","schema_version":"1.0","event_id":"sha256:5a20490acb4fbf9b8635fd6f23f7deb7723c6949f9245518faea9e1e609db1dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/bundle.json","state_url":"https://pith.science/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/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":"2026-07-01T08:20:17Z","links":{"resolver":"https://pith.science/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7","bundle":"https://pith.science/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/bundle.json","state":"https://pith.science/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJ6K7AY4LPWPTEP4KGYCBF7RU7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WJ6K7AY4LPWPTEP4KGYCBF7RU7","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":"234397066f5cc5155e922de67845c1ff91b078567377221c0d5de06b1439cf46","cross_cats_sorted":["astro-ph.HE","gr-qc","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-15T19:07:08Z","title_canon_sha256":"b16013c7e22e66f5d26fd58ac35d43310ca69b484784ce25ed54e1cd4a817425"},"schema_version":"1.0","source":{"id":"1512.04900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04900","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04900v1","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04900","created_at":"2026-05-18T01:24:13Z"},{"alias_kind":"pith_short_12","alias_value":"WJ6K7AY4LPWP","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WJ6K7AY4LPWPTEP4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WJ6K7AY4","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:5a20490acb4fbf9b8635fd6f23f7deb7723c6949f9245518faea9e1e609db1dd","target":"graph","created_at":"2026-05-18T01:24:13Z","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 analyse the oscillations of general relativistic superfluid hyperon stars, following the approach suggested by Gusakov & Kantor and Gusakov et al. and generalizing it to the nucleon-hyperon matter. We show that the equations governing the oscillations can be split into two weakly coupled systems with the coupling parameters $s_{\\rm e}$, $s_{\\rm \\mu}$, and $s_{\\rm str}$. The approximation $s_{\\rm e} = s_{\\rm \\mu} = s_{\\rm str} = 0$ (decoupling approximation) allows one to drastically simplify the calculations of stellar oscillation spectra. An efficiency of the presented scheme is illustrate","authors_text":"M.E. Gusakov (Ioffe Institute), V.A. Dommes","cross_cats":["astro-ph.HE","gr-qc","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-15T19:07:08Z","title":"Oscillations of superfluid hyperon stars: decoupling scheme and g-modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04900","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":"sha256:4f13eba89e7f97d5274d4d6aa410d60a9c02658fd07a920ac7d05a512a3c0068","target":"record","created_at":"2026-05-18T01:24:13Z","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":"234397066f5cc5155e922de67845c1ff91b078567377221c0d5de06b1439cf46","cross_cats_sorted":["astro-ph.HE","gr-qc","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2015-12-15T19:07:08Z","title_canon_sha256":"b16013c7e22e66f5d26fd58ac35d43310ca69b484784ce25ed54e1cd4a817425"},"schema_version":"1.0","source":{"id":"1512.04900","kind":"arxiv","version":1}},"canonical_sha256":"b27caf831c5becf991fc51b02097f1a7e6d0eb4924ed5c4d0e42c3a7dcf13777","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b27caf831c5becf991fc51b02097f1a7e6d0eb4924ed5c4d0e42c3a7dcf13777","first_computed_at":"2026-05-18T01:24:13.926832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:13.926832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3El3bNYu2wPJ5CJ2MOxeB0/u0hjlzoVVWMifpGVpcsy+1VYGUjLU3xDY5J6aZxRFOK95OIXLjhAHRKw/+1KsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:13.927279Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f13eba89e7f97d5274d4d6aa410d60a9c02658fd07a920ac7d05a512a3c0068","sha256:5a20490acb4fbf9b8635fd6f23f7deb7723c6949f9245518faea9e1e609db1dd"],"state_sha256":"cb4af05d5b80d1253c3355a0b1648d9642e1922900bf3857e7af24f1865a30ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uNkXDHhLr3MqxE7//YCT7p7yehayrCjezmljyAqJZpW3dljaigw6KTZVJqfgDuj1+W3IO/XUSrijD7aXNWf8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T08:20:17.702068Z","bundle_sha256":"797c94ca42854c09fc04a2635f927dda713e1fe92bec2b0b64bbbf0a97b41e54"}}