{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VZWWBTS4ZHECYRRUQEJDZKHDBP","short_pith_number":"pith:VZWWBTS4","canonical_record":{"source":{"id":"1412.2514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2014-12-08T11:14:54Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"4b2610ac088f69c44d3d6ff99109a3cb153d32d9eee86d7e22f086ffffbbd373","abstract_canon_sha256":"9138f85b1cc3dc767c93c5d081878f3c9e32878f367e6cbbb9700af5198bf3ae"},"schema_version":"1.0"},"canonical_sha256":"ae6d60ce5cc9c82c463481123ca8e30be1fe23a15c21bb8d054496761b251823","source":{"kind":"arxiv","id":"1412.2514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2514","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2514v1","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2514","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"pith_short_12","alias_value":"VZWWBTS4ZHEC","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VZWWBTS4ZHECYRRU","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VZWWBTS4","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VZWWBTS4ZHECYRRUQEJDZKHDBP","target":"record","payload":{"canonical_record":{"source":{"id":"1412.2514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2014-12-08T11:14:54Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"4b2610ac088f69c44d3d6ff99109a3cb153d32d9eee86d7e22f086ffffbbd373","abstract_canon_sha256":"9138f85b1cc3dc767c93c5d081878f3c9e32878f367e6cbbb9700af5198bf3ae"},"schema_version":"1.0"},"canonical_sha256":"ae6d60ce5cc9c82c463481123ca8e30be1fe23a15c21bb8d054496761b251823","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:57.705799Z","signature_b64":"eUGFkPGgcXZx0Md+geXZrth6K9RwpJ38MRvmLuNMnh14VYxJceyvQsPUShC5uObbpX98TZEi0uh67XDyVS7MAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae6d60ce5cc9c82c463481123ca8e30be1fe23a15c21bb8d054496761b251823","last_reissued_at":"2026-05-18T02:31:57.705113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:57.705113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.2514","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":"2026-05-18T02:31:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YaaQFBAZ428n58gzX2dkZzhoLIlIiE+DbUgNIbn/qLAOn+obiQnCOV/wzaxYAZAGO4vTwiyo7wSk9Xz4yy8ZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:30:58.201449Z"},"content_sha256":"ba4c3ecd0c589c926af8103e9dc172efa4d8762b72bf1b5d73e369d60fa7deef","schema_version":"1.0","event_id":"sha256:ba4c3ecd0c589c926af8103e9dc172efa4d8762b72bf1b5d73e369d60fa7deef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VZWWBTS4ZHECYRRUQEJDZKHDBP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tidal interactions of a Maclaurin spheroid. II: Resonant excitation of modes by a close, misaligned orbit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP"],"primary_cat":"astro-ph.SR","authors_text":"Gordon I. Ogilvie, Harry J. Braviner","submitted_at":"2014-12-08T11:14:54Z","abstract_excerpt":"We model a tidally forced star or giant planet as a Maclaurin spheroid, decomposing the motion into the normal modes found by Bryan (1889). We first describe the general prescription for this decomposition and the computation of the tidal power. Although this formalism is very general, forcing due to a companion on a misaligned, circular orbit is used to illustrate the theory. The tidal power is plotted for a variety of orbital radii, misalignment angles, and spheroid rotation rates. Our calculations are carried out including all modes of degree $l \\le 4$, and the same degree of gravitational "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2514","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":"2026-05-18T02:31:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ngGYS/JlEsM4Gp0xs+NxdZDOwDVPwQKB4zg9YD7TX8XsQl6i+wE5rq8kjQOgg4VN7O0FkxGeyO2W0p/XkKkHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:30:58.201808Z"},"content_sha256":"9417e19b193b343dc1269cf4cd6e4aba87731468c9dc2d37c6c12eb24dfb74de","schema_version":"1.0","event_id":"sha256:9417e19b193b343dc1269cf4cd6e4aba87731468c9dc2d37c6c12eb24dfb74de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/bundle.json","state_url":"https://pith.science/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/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":"2026-05-28T00:30:58Z","links":{"resolver":"https://pith.science/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP","bundle":"https://pith.science/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/bundle.json","state":"https://pith.science/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZWWBTS4ZHECYRRUQEJDZKHDBP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VZWWBTS4ZHECYRRUQEJDZKHDBP","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":"9138f85b1cc3dc767c93c5d081878f3c9e32878f367e6cbbb9700af5198bf3ae","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2014-12-08T11:14:54Z","title_canon_sha256":"4b2610ac088f69c44d3d6ff99109a3cb153d32d9eee86d7e22f086ffffbbd373"},"schema_version":"1.0","source":{"id":"1412.2514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2514","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2514v1","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2514","created_at":"2026-05-18T02:31:57Z"},{"alias_kind":"pith_short_12","alias_value":"VZWWBTS4ZHEC","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VZWWBTS4ZHECYRRU","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VZWWBTS4","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:9417e19b193b343dc1269cf4cd6e4aba87731468c9dc2d37c6c12eb24dfb74de","target":"graph","created_at":"2026-05-18T02:31:57Z","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 model a tidally forced star or giant planet as a Maclaurin spheroid, decomposing the motion into the normal modes found by Bryan (1889). We first describe the general prescription for this decomposition and the computation of the tidal power. Although this formalism is very general, forcing due to a companion on a misaligned, circular orbit is used to illustrate the theory. The tidal power is plotted for a variety of orbital radii, misalignment angles, and spheroid rotation rates. Our calculations are carried out including all modes of degree $l \\le 4$, and the same degree of gravitational ","authors_text":"Gordon I. Ogilvie, Harry J. Braviner","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2014-12-08T11:14:54Z","title":"Tidal interactions of a Maclaurin spheroid. II: Resonant excitation of modes by a close, misaligned orbit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2514","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:ba4c3ecd0c589c926af8103e9dc172efa4d8762b72bf1b5d73e369d60fa7deef","target":"record","created_at":"2026-05-18T02:31:57Z","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":"9138f85b1cc3dc767c93c5d081878f3c9e32878f367e6cbbb9700af5198bf3ae","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2014-12-08T11:14:54Z","title_canon_sha256":"4b2610ac088f69c44d3d6ff99109a3cb153d32d9eee86d7e22f086ffffbbd373"},"schema_version":"1.0","source":{"id":"1412.2514","kind":"arxiv","version":1}},"canonical_sha256":"ae6d60ce5cc9c82c463481123ca8e30be1fe23a15c21bb8d054496761b251823","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae6d60ce5cc9c82c463481123ca8e30be1fe23a15c21bb8d054496761b251823","first_computed_at":"2026-05-18T02:31:57.705113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:57.705113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eUGFkPGgcXZx0Md+geXZrth6K9RwpJ38MRvmLuNMnh14VYxJceyvQsPUShC5uObbpX98TZEi0uh67XDyVS7MAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:57.705799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4c3ecd0c589c926af8103e9dc172efa4d8762b72bf1b5d73e369d60fa7deef","sha256:9417e19b193b343dc1269cf4cd6e4aba87731468c9dc2d37c6c12eb24dfb74de"],"state_sha256":"eda4a659d7ef011bee3ee796955b25f9c3b2c6262de04a2e8f2dad1c6536840d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8uvKDAE746k2erZoxclsvG4q8D0rkFsDDljCvhZAxvAaKkrT++Innbtbi2TylZ63AKXoIxr/4C7mOQ5ntXNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:30:58.203818Z","bundle_sha256":"e145ffac11cdc09ca5d9e657fff3cbc3c870c84be7ba8afee8758b9bea7a7af6"}}