{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HQFSMMU27LLKDHY2SGOLO4JESP","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":"8cd29ab95d4f9a43923e61db2f4038d93fc4e8b7d0e56043fe7016576c334a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-10-31T18:24:23Z","title_canon_sha256":"6f029e3ae4b5524f67b71ddfcb6505d65e3ca3251494670868d9d836e589eaa1"},"schema_version":"1.0","source":{"id":"1310.8626","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8626","created_at":"2026-05-18T01:46:40Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8626v2","created_at":"2026-05-18T01:46:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8626","created_at":"2026-05-18T01:46:40Z"},{"alias_kind":"pith_short_12","alias_value":"HQFSMMU27LLK","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HQFSMMU27LLKDHY2","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HQFSMMU2","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:1890d94da8dbcda057e430420d16b9a9b87f9c9dfb129b43c748ae1f955499ea","target":"graph","created_at":"2026-05-18T01:46:40Z","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":"I derive a fully analytic expression for the linear corotation torque to first order in eccentricity for planets in non-barotropic protoplanetary disks, taking into account the effect of disk entropy gradients. This torque formula is applicable to both the co-orbital corotation torque and the non co-orbital corotation torques -- for planets in orbits with non-zero eccentricity -- in disks where the thermal diffusivity and viscosity are sufficient to maintain linearity of these interactions. While the co-orbital corotation torque is important for migration of planets in Type I migration, the no","authors_text":"David Tsang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-10-31T18:24:23Z","title":"Linear Corotation Torques in Non-Barotropic Disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8626","kind":"arxiv","version":2},"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:ef5742b37b20dd851f8a1c9f76016d5aec69245d7def6bfefce15df73c4b6439","target":"record","created_at":"2026-05-18T01:46:40Z","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":"8cd29ab95d4f9a43923e61db2f4038d93fc4e8b7d0e56043fe7016576c334a7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-10-31T18:24:23Z","title_canon_sha256":"6f029e3ae4b5524f67b71ddfcb6505d65e3ca3251494670868d9d836e589eaa1"},"schema_version":"1.0","source":{"id":"1310.8626","kind":"arxiv","version":2}},"canonical_sha256":"3c0b26329afad6a19f1a919cb7712493d15b9718c3a2812a2036934017471fd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c0b26329afad6a19f1a919cb7712493d15b9718c3a2812a2036934017471fd9","first_computed_at":"2026-05-18T01:46:40.292062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:40.292062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YuL14q7GyRjgF8Y36IbUuE9CILnRkMxBetpYt6M0jTxLzvBtv9KGxkx8JHcGI0BiwFj8NEQavMsP94beSgf4Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:40.292519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8626","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef5742b37b20dd851f8a1c9f76016d5aec69245d7def6bfefce15df73c4b6439","sha256:1890d94da8dbcda057e430420d16b9a9b87f9c9dfb129b43c748ae1f955499ea"],"state_sha256":"1ba9552cefdebb361169557e2bee16d76c4d0a3316ae6c62a7de869bd04d093d"}