{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:2MK3PMMFZER3ZM5TZ7UMQDRM7G","short_pith_number":"pith:2MK3PMMF","canonical_record":{"source":{"id":"astro-ph/0512097","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T11:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"f4b77c3731053c058ec2b739179acec1814177220a004c315e760d34424f36bd","abstract_canon_sha256":"8807944e8fa3f1e171e92fef6e6c531641996b4fba32d09010acb1815e5fd4cd"},"schema_version":"1.0"},"canonical_sha256":"d315b7b185c923bcb3b3cfe8c80e2cf9a4240b2a5205d7f2f256aa692d3b0eee","source":{"kind":"arxiv","id":"astro-ph/0512097","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512097","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512097v1","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512097","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"pith_short_12","alias_value":"2MK3PMMFZER3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2MK3PMMFZER3ZM5T","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2MK3PMMF","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:2MK3PMMFZER3ZM5TZ7UMQDRM7G","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0512097","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T11:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"f4b77c3731053c058ec2b739179acec1814177220a004c315e760d34424f36bd","abstract_canon_sha256":"8807944e8fa3f1e171e92fef6e6c531641996b4fba32d09010acb1815e5fd4cd"},"schema_version":"1.0"},"canonical_sha256":"d315b7b185c923bcb3b3cfe8c80e2cf9a4240b2a5205d7f2f256aa692d3b0eee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:00.571832Z","signature_b64":"jxJV/r9KGnOAwcU/3KS3XbweXH/V6006hdQX50pGumy+WLiZD6keazB2bl2/BQ8pKZJz5xIAuxfjAAJDCVMXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d315b7b185c923bcb3b3cfe8c80e2cf9a4240b2a5205d7f2f256aa692d3b0eee","last_reissued_at":"2026-05-18T00:37:00.571243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:00.571243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0512097","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":"2026-05-18T00:37:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AJzeaumcpYvVbggToRj8cmQJfXK0hguGDy/E7cRy9K+SGW5fhdsVZx3zKxpiQlcKzyS08i0oOPUA2dd940g/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:58:17.637614Z"},"content_sha256":"5b495e1857658a1121ee9922e48e786e177fc6eb644c154d4c949ed9c4c1cdc5","schema_version":"1.0","event_id":"sha256:5b495e1857658a1121ee9922e48e786e177fc6eb644c154d4c949ed9c4c1cdc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:2MK3PMMFZER3ZM5TZ7UMQDRM7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical r-mode solution with gravitational radiation reaction force","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"\\'Oscar J. C. Dias, Paulo M. S\\'a","submitted_at":"2005-12-05T11:00:25Z","abstract_excerpt":"We present and discuss the analytical r-mode solution to the linearized hydrodynamic equations of a slowly rotating, Newtonian, barotropic, non-magnetized, perfect-fluid star in which the gravitational radiation reaction force is present."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512097","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":"2026-05-18T00:37:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TH3ZjhqRHYuqIgz4KQ5vnQvUHNSk8r4O6RaEKUJiM2wNuJy2prHjM0jlSpfpYUuLU3i78HdC1OJvpudZUvdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:58:17.638244Z"},"content_sha256":"7ecde23d16fa4110e952397892def56e29c25b3ec78563a80d230ae430264260","schema_version":"1.0","event_id":"sha256:7ecde23d16fa4110e952397892def56e29c25b3ec78563a80d230ae430264260"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/bundle.json","state_url":"https://pith.science/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/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":"2026-05-29T19:58:17Z","links":{"resolver":"https://pith.science/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G","bundle":"https://pith.science/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/bundle.json","state":"https://pith.science/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MK3PMMFZER3ZM5TZ7UMQDRM7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:2MK3PMMFZER3ZM5TZ7UMQDRM7G","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":"8807944e8fa3f1e171e92fef6e6c531641996b4fba32d09010acb1815e5fd4cd","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T11:00:25Z","title_canon_sha256":"f4b77c3731053c058ec2b739179acec1814177220a004c315e760d34424f36bd"},"schema_version":"1.0","source":{"id":"astro-ph/0512097","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512097","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512097v1","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512097","created_at":"2026-05-18T00:37:00Z"},{"alias_kind":"pith_short_12","alias_value":"2MK3PMMFZER3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2MK3PMMFZER3ZM5T","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2MK3PMMF","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:7ecde23d16fa4110e952397892def56e29c25b3ec78563a80d230ae430264260","target":"graph","created_at":"2026-05-18T00:37:00Z","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 present and discuss the analytical r-mode solution to the linearized hydrodynamic equations of a slowly rotating, Newtonian, barotropic, non-magnetized, perfect-fluid star in which the gravitational radiation reaction force is present.","authors_text":"\\'Oscar J. C. Dias, Paulo M. S\\'a","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T11:00:25Z","title":"Analytical r-mode solution with gravitational radiation reaction force"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512097","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":"sha256:5b495e1857658a1121ee9922e48e786e177fc6eb644c154d4c949ed9c4c1cdc5","target":"record","created_at":"2026-05-18T00:37:00Z","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":"8807944e8fa3f1e171e92fef6e6c531641996b4fba32d09010acb1815e5fd4cd","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T11:00:25Z","title_canon_sha256":"f4b77c3731053c058ec2b739179acec1814177220a004c315e760d34424f36bd"},"schema_version":"1.0","source":{"id":"astro-ph/0512097","kind":"arxiv","version":1}},"canonical_sha256":"d315b7b185c923bcb3b3cfe8c80e2cf9a4240b2a5205d7f2f256aa692d3b0eee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d315b7b185c923bcb3b3cfe8c80e2cf9a4240b2a5205d7f2f256aa692d3b0eee","first_computed_at":"2026-05-18T00:37:00.571243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:00.571243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jxJV/r9KGnOAwcU/3KS3XbweXH/V6006hdQX50pGumy+WLiZD6keazB2bl2/BQ8pKZJz5xIAuxfjAAJDCVMXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:00.571832Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0512097","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b495e1857658a1121ee9922e48e786e177fc6eb644c154d4c949ed9c4c1cdc5","sha256:7ecde23d16fa4110e952397892def56e29c25b3ec78563a80d230ae430264260"],"state_sha256":"f52eaa64d8f52ec5a58267cc86dd8ff11140dc39672d7a026098bb9e3c638de9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XoIx3sIh7niLer/GgnH8WQOfiJSUzGTEys+2B/OS/8IASuoadh3Fwctxl+kro0FRvSPge3oJOZjnMF2MgCapDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:58:17.641522Z","bundle_sha256":"bcf16545f2e7156db4ec493ae160119e554ee2a166c79ab666c38af1ab0815fc"}}