{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:IEXF6XI5PBLDMWOHTP72VL7XK7","short_pith_number":"pith:IEXF6XI5","canonical_record":{"source":{"id":"gr-qc/0702040","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-02-07T11:07:10Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"0a3c1513af268c0857532c224462359b5a94a2930170ec54b03e05c9a8c2aa03","abstract_canon_sha256":"53cd218d2072670c301e8e97de3ac30b4a374077dad21c0eceb24b363c719ce4"},"schema_version":"1.0"},"canonical_sha256":"412e5f5d1d78563659c79bffaaaff757d855ef95590db0d2b2d8f36cef9f45f1","source":{"kind":"arxiv","id":"gr-qc/0702040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0702040","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0702040v1","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0702040","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"IEXF6XI5PBLD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IEXF6XI5PBLDMWOH","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IEXF6XI5","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:IEXF6XI5PBLDMWOHTP72VL7XK7","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0702040","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-02-07T11:07:10Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"0a3c1513af268c0857532c224462359b5a94a2930170ec54b03e05c9a8c2aa03","abstract_canon_sha256":"53cd218d2072670c301e8e97de3ac30b4a374077dad21c0eceb24b363c719ce4"},"schema_version":"1.0"},"canonical_sha256":"412e5f5d1d78563659c79bffaaaff757d855ef95590db0d2b2d8f36cef9f45f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:20.002276Z","signature_b64":"JvTuJAIoBVNKtzKYi7hyJITbPmG+NcsEAT9C4TgqyL+npKizasTeAh4Q22huezRwTxDHf/crKuE7qcj0bklMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"412e5f5d1d78563659c79bffaaaff757d855ef95590db0d2b2d8f36cef9f45f1","last_reissued_at":"2026-05-18T04:36:20.001881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:20.001881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0702040","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":"2026-05-18T04:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPITOAGAo7JEppP4n7YFn3SRpmEHdhEyLEL1B5Hg//eyDfjRa4PmXnyOPppBcBpSf/w5uBhibyj5sm3PtNflBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:19:02.366632Z"},"content_sha256":"27388fb4095a7299f4520237ddb91396ee829e311343b3ace892a1075f677739","schema_version":"1.0","event_id":"sha256:27388fb4095a7299f4520237ddb91396ee829e311343b3ace892a1075f677739"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:IEXF6XI5PBLDMWOHTP72VL7XK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic r-modes and shear viscosity","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"J.A. Miralles, J.A. Pons, L. Gualtieri, V. Ferrari","submitted_at":"2007-02-07T11:07:10Z","abstract_excerpt":"We derive the relativistic equations for stellar perturbations, including in a consistent way shear viscosity in the stress-energy tensor, and we numerically integrate our equations in the case of large viscosity. We consider the slow rotation approximation, and we neglect the coupling between polar and axial perturbations. In our approach, the frequency and damping time of the emitted gravitational radiation are directly obtained. We find that, approaching the inviscid limit from the finite viscosity case, the continuous spectrum is regularized. Constant density stars, polytropic stars, and s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0702040","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":"2026-05-18T04:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"81Wc3jOQIz1Rd0QqPNl9umP499JuEv0L4cy0lQECYnnwPyW+WWyRxaPMRx7F79xbJIp8A3a0+dzQABBsLJ6KDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:19:02.366989Z"},"content_sha256":"34682abae943ad54344dd741fd5a377f0a1b5078646962457eff9e7b4eb9c719","schema_version":"1.0","event_id":"sha256:34682abae943ad54344dd741fd5a377f0a1b5078646962457eff9e7b4eb9c719"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/bundle.json","state_url":"https://pith.science/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/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":"2026-06-11T13:19:02Z","links":{"resolver":"https://pith.science/pith/IEXF6XI5PBLDMWOHTP72VL7XK7","bundle":"https://pith.science/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/bundle.json","state":"https://pith.science/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEXF6XI5PBLDMWOHTP72VL7XK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IEXF6XI5PBLDMWOHTP72VL7XK7","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":"53cd218d2072670c301e8e97de3ac30b4a374077dad21c0eceb24b363c719ce4","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-02-07T11:07:10Z","title_canon_sha256":"0a3c1513af268c0857532c224462359b5a94a2930170ec54b03e05c9a8c2aa03"},"schema_version":"1.0","source":{"id":"gr-qc/0702040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0702040","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0702040v1","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0702040","created_at":"2026-05-18T04:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"IEXF6XI5PBLD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IEXF6XI5PBLDMWOH","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IEXF6XI5","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:34682abae943ad54344dd741fd5a377f0a1b5078646962457eff9e7b4eb9c719","target":"graph","created_at":"2026-05-18T04:36:20Z","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 derive the relativistic equations for stellar perturbations, including in a consistent way shear viscosity in the stress-energy tensor, and we numerically integrate our equations in the case of large viscosity. We consider the slow rotation approximation, and we neglect the coupling between polar and axial perturbations. In our approach, the frequency and damping time of the emitted gravitational radiation are directly obtained. We find that, approaching the inviscid limit from the finite viscosity case, the continuous spectrum is regularized. Constant density stars, polytropic stars, and s","authors_text":"J.A. Miralles, J.A. Pons, L. Gualtieri, V. Ferrari","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-02-07T11:07:10Z","title":"Relativistic r-modes and shear viscosity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0702040","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":"sha256:27388fb4095a7299f4520237ddb91396ee829e311343b3ace892a1075f677739","target":"record","created_at":"2026-05-18T04:36:20Z","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":"53cd218d2072670c301e8e97de3ac30b4a374077dad21c0eceb24b363c719ce4","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-02-07T11:07:10Z","title_canon_sha256":"0a3c1513af268c0857532c224462359b5a94a2930170ec54b03e05c9a8c2aa03"},"schema_version":"1.0","source":{"id":"gr-qc/0702040","kind":"arxiv","version":1}},"canonical_sha256":"412e5f5d1d78563659c79bffaaaff757d855ef95590db0d2b2d8f36cef9f45f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"412e5f5d1d78563659c79bffaaaff757d855ef95590db0d2b2d8f36cef9f45f1","first_computed_at":"2026-05-18T04:36:20.001881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:20.001881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JvTuJAIoBVNKtzKYi7hyJITbPmG+NcsEAT9C4TgqyL+npKizasTeAh4Q22huezRwTxDHf/crKuE7qcj0bklMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:20.002276Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0702040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27388fb4095a7299f4520237ddb91396ee829e311343b3ace892a1075f677739","sha256:34682abae943ad54344dd741fd5a377f0a1b5078646962457eff9e7b4eb9c719"],"state_sha256":"bfffcc2870d34518b6a6c2472c383fff66b4eac9c7fa104157eae4b535b066e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9qHXe1Rk6i3eiBQCfB4PoxirJTwLsP/VXDJqPctzqPIM05mJwxIhazW4yCeQqJuzX84wPQROgxZ4ITXNToxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:19:02.369365Z","bundle_sha256":"94905302a09f559ed55fb82a61c1e6968b2be1d30924921d85a9fd6669fa20e8"}}