{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SHQ2D4JPWRATPK2Q4ZGEYYPT7V","short_pith_number":"pith:SHQ2D4JP","canonical_record":{"source":{"id":"1103.5485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T20:58:19Z","cross_cats_sorted":[],"title_canon_sha256":"d3f0149585a7092ccca43ae4e07b76379c445630aafc611ac65e0a741afd5205","abstract_canon_sha256":"09bcec1319afa81f2459e8f9bd9798385eea612fba299a76ab55d2c5668e4d7e"},"schema_version":"1.0"},"canonical_sha256":"91e1a1f12fb44137ab50e64c4c61f3fd44c7eda03eadbf36b1fc6c310ba85fcf","source":{"kind":"arxiv","id":"1103.5485","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5485","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5485v1","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5485","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"SHQ2D4JPWRAT","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SHQ2D4JPWRATPK2Q","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SHQ2D4JP","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SHQ2D4JPWRATPK2Q4ZGEYYPT7V","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T20:58:19Z","cross_cats_sorted":[],"title_canon_sha256":"d3f0149585a7092ccca43ae4e07b76379c445630aafc611ac65e0a741afd5205","abstract_canon_sha256":"09bcec1319afa81f2459e8f9bd9798385eea612fba299a76ab55d2c5668e4d7e"},"schema_version":"1.0"},"canonical_sha256":"91e1a1f12fb44137ab50e64c4c61f3fd44c7eda03eadbf36b1fc6c310ba85fcf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:43.887782Z","signature_b64":"SZ6WGqMp0atm4JarnuYimu8McAsVJfCjtn8gjJI43md1uetHWVu3iFmR2/8qu2q3wZoZH+LXmAwucsK9dmedBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91e1a1f12fb44137ab50e64c4c61f3fd44c7eda03eadbf36b1fc6c310ba85fcf","last_reissued_at":"2026-05-18T02:02:43.887054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:43.887054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5485","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":"2026-05-18T02:02:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6u4qVXrtCeTSVBF3794bzD0n0zg7RM+TXISFEzvvA9YlWjKBZMbS8TaE94yqYRY4NfARJrMEjlfZGTbNuTaiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:00:39.385823Z"},"content_sha256":"f3e754eb2c5cb91b9be8d6293fc0be48d65ecdcf8833c322fb2ef4ffdc6e4d3f","schema_version":"1.0","event_id":"sha256:f3e754eb2c5cb91b9be8d6293fc0be48d65ecdcf8833c322fb2ef4ffdc6e4d3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SHQ2D4JPWRATPK2Q4ZGEYYPT7V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling the secular evolution of migrating planet pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Adri\\'an Rodr\\'iguez, Tatiana A. Michtchenko","submitted_at":"2011-03-28T20:58:19Z","abstract_excerpt":"The subject of this paper is the secular behaviour of a pair of planets evolving under dissipative forces. In particular, we investigate the case when dissipative forces affect the planetary semi-major axes and the planets move inward/outward the central star, in a process known as planet migration. To perform this investigation, we introduce fundamental concepts of conservative and dissipative dynamics of the three-body problem. Based on these concepts, we develop a qualitative model of the secular evolution of the migrating planetary pair. Our approach is based on analysis of the energy and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5485","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":"2026-05-18T02:02:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4InOeLTwFapVEbSBx4XrmX8/HKvfJyHBOzaYoFoaind9aBqp7jj2tNwotPT833mOPU90asbX3+XkqI9jeYWcBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:00:39.386168Z"},"content_sha256":"6bc4cdac7807518ba9074eb467b6e735c976f946588389505b1dec8cbc8e076f","schema_version":"1.0","event_id":"sha256:6bc4cdac7807518ba9074eb467b6e735c976f946588389505b1dec8cbc8e076f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/bundle.json","state_url":"https://pith.science/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/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":"2026-06-25T20:00:39Z","links":{"resolver":"https://pith.science/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V","bundle":"https://pith.science/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/bundle.json","state":"https://pith.science/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SHQ2D4JPWRATPK2Q4ZGEYYPT7V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SHQ2D4JPWRATPK2Q4ZGEYYPT7V","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":"09bcec1319afa81f2459e8f9bd9798385eea612fba299a76ab55d2c5668e4d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T20:58:19Z","title_canon_sha256":"d3f0149585a7092ccca43ae4e07b76379c445630aafc611ac65e0a741afd5205"},"schema_version":"1.0","source":{"id":"1103.5485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5485","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5485v1","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5485","created_at":"2026-05-18T02:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"SHQ2D4JPWRAT","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SHQ2D4JPWRATPK2Q","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SHQ2D4JP","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:6bc4cdac7807518ba9074eb467b6e735c976f946588389505b1dec8cbc8e076f","target":"graph","created_at":"2026-05-18T02:02:43Z","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":"The subject of this paper is the secular behaviour of a pair of planets evolving under dissipative forces. In particular, we investigate the case when dissipative forces affect the planetary semi-major axes and the planets move inward/outward the central star, in a process known as planet migration. To perform this investigation, we introduce fundamental concepts of conservative and dissipative dynamics of the three-body problem. Based on these concepts, we develop a qualitative model of the secular evolution of the migrating planetary pair. Our approach is based on analysis of the energy and ","authors_text":"Adri\\'an Rodr\\'iguez, Tatiana A. Michtchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T20:58:19Z","title":"Modeling the secular evolution of migrating planet pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5485","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:f3e754eb2c5cb91b9be8d6293fc0be48d65ecdcf8833c322fb2ef4ffdc6e4d3f","target":"record","created_at":"2026-05-18T02:02:43Z","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":"09bcec1319afa81f2459e8f9bd9798385eea612fba299a76ab55d2c5668e4d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-03-28T20:58:19Z","title_canon_sha256":"d3f0149585a7092ccca43ae4e07b76379c445630aafc611ac65e0a741afd5205"},"schema_version":"1.0","source":{"id":"1103.5485","kind":"arxiv","version":1}},"canonical_sha256":"91e1a1f12fb44137ab50e64c4c61f3fd44c7eda03eadbf36b1fc6c310ba85fcf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91e1a1f12fb44137ab50e64c4c61f3fd44c7eda03eadbf36b1fc6c310ba85fcf","first_computed_at":"2026-05-18T02:02:43.887054Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:43.887054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SZ6WGqMp0atm4JarnuYimu8McAsVJfCjtn8gjJI43md1uetHWVu3iFmR2/8qu2q3wZoZH+LXmAwucsK9dmedBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:43.887782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3e754eb2c5cb91b9be8d6293fc0be48d65ecdcf8833c322fb2ef4ffdc6e4d3f","sha256:6bc4cdac7807518ba9074eb467b6e735c976f946588389505b1dec8cbc8e076f"],"state_sha256":"802dcd285431ade6dcf3b2a8aa4942289d0894ff3236b3b8c46ff5dbd6d82298"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5/c6iM642iGI6gtL5dNwPupXiREVG7IjvyMZFyWMEOn7FVb21J1imoVyvHDC41PgF16i/ucO2dlCcWfuyljAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T20:00:39.388027Z","bundle_sha256":"a28a1087dc2c52233f1287926dba2acd3b24b72eb992a3b1d778bb3a23ac9b59"}}