{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:6DU4HPF34Q22VRJOEI2C6UFWBL","short_pith_number":"pith:6DU4HPF3","canonical_record":{"source":{"id":"astro-ph/9909486","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1999-09-29T12:01:20Z","cross_cats_sorted":[],"title_canon_sha256":"91100771478e4ef1e0e2ec9fca9c0c8adf3a1ae04569f81b8f96da120c14f446","abstract_canon_sha256":"3ef81bb3195531e762b315fe6958b0cc1ae3242879b4fc12186a550fd02709e2"},"schema_version":"1.0"},"canonical_sha256":"f0e9c3bcbbe435aac52e22342f50b60af0beef3b7234ecfef38475a13136e563","source":{"kind":"arxiv","id":"astro-ph/9909486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9909486","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9909486v1","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9909486","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"6DU4HPF34Q22","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"6DU4HPF34Q22VRJO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"6DU4HPF3","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:6DU4HPF34Q22VRJOEI2C6UFWBL","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9909486","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1999-09-29T12:01:20Z","cross_cats_sorted":[],"title_canon_sha256":"91100771478e4ef1e0e2ec9fca9c0c8adf3a1ae04569f81b8f96da120c14f446","abstract_canon_sha256":"3ef81bb3195531e762b315fe6958b0cc1ae3242879b4fc12186a550fd02709e2"},"schema_version":"1.0"},"canonical_sha256":"f0e9c3bcbbe435aac52e22342f50b60af0beef3b7234ecfef38475a13136e563","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:12.598280Z","signature_b64":"Wp8vgfhmaLY6VvxvmSP2KMrjazJUFSZ2zEBxVI/4lfjmn1q2qE2H1QjwyRgqeOp4qQBs5m36xmP9sI8rPKqZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0e9c3bcbbe435aac52e22342f50b60af0beef3b7234ecfef38475a13136e563","last_reissued_at":"2026-05-18T01:40:12.597563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:12.597563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9909486","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":"2026-05-18T01:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zb4SK5alF9pMhrrt2kpCTBoCxJ7UuNMZ7hIgi5YVdKfoEUwMUSXo4eULgZBwuAhekecWuvLb5qkxwVlwWH0hDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:43:38.642038Z"},"content_sha256":"2a7c16380becb7dfddd6fc077ac41a71be4d15a7e9c41f21b0f859ef1174a2ac","schema_version":"1.0","event_id":"sha256:2a7c16380becb7dfddd6fc077ac41a71be4d15a7e9c41f21b0f859ef1174a2ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:6DU4HPF34Q22VRJOEI2C6UFWBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Migration and Growth of Protoplanets in Protostellar Discs","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"F. Masset, John C.B. Papaloizou, Richard P. Nelson, Willy Kley","submitted_at":"1999-09-29T12:01:20Z","abstract_excerpt":"We investigate the gravitational interaction of a Jovian mass protoplanet with a gaseous disc with aspect ratio and kinematic viscosity expected for the protoplanetary disc from which it formed. Different disc surface density distributions have been investigated. We focus on the tidal interaction with the disc with the consequent gap formation and orbital migration of the protoplanet. Nonlinear hydrodynamic simulations are employed using three independent numerical codes.\n  A principal result is that the direction of the orbital migration is always inwards and such that the protoplanet reaches"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9909486","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":"2026-05-18T01:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCHTwFYZNtMAHHxeg/nVQaXCj9MZtXYqwL9JvypOBRxXc1tQlEwDYXOl+stIpYgYLsibYvCmJxYlgWBEWMPmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:43:38.642711Z"},"content_sha256":"a65878af92f97ef2d1059aea4b7126f9c0cc9dd04ac2745810341cd1fc4cddd8","schema_version":"1.0","event_id":"sha256:a65878af92f97ef2d1059aea4b7126f9c0cc9dd04ac2745810341cd1fc4cddd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/bundle.json","state_url":"https://pith.science/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/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":"2026-05-31T14:43:38Z","links":{"resolver":"https://pith.science/pith/6DU4HPF34Q22VRJOEI2C6UFWBL","bundle":"https://pith.science/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/bundle.json","state":"https://pith.science/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DU4HPF34Q22VRJOEI2C6UFWBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:6DU4HPF34Q22VRJOEI2C6UFWBL","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":"3ef81bb3195531e762b315fe6958b0cc1ae3242879b4fc12186a550fd02709e2","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-09-29T12:01:20Z","title_canon_sha256":"91100771478e4ef1e0e2ec9fca9c0c8adf3a1ae04569f81b8f96da120c14f446"},"schema_version":"1.0","source":{"id":"astro-ph/9909486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9909486","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9909486v1","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9909486","created_at":"2026-05-18T01:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"6DU4HPF34Q22","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"6DU4HPF34Q22VRJO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"6DU4HPF3","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:a65878af92f97ef2d1059aea4b7126f9c0cc9dd04ac2745810341cd1fc4cddd8","target":"graph","created_at":"2026-05-18T01:40:12Z","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 investigate the gravitational interaction of a Jovian mass protoplanet with a gaseous disc with aspect ratio and kinematic viscosity expected for the protoplanetary disc from which it formed. Different disc surface density distributions have been investigated. We focus on the tidal interaction with the disc with the consequent gap formation and orbital migration of the protoplanet. Nonlinear hydrodynamic simulations are employed using three independent numerical codes.\n  A principal result is that the direction of the orbital migration is always inwards and such that the protoplanet reaches","authors_text":"F. Masset, John C.B. Papaloizou, Richard P. Nelson, Willy Kley","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1999-09-29T12:01:20Z","title":"The Migration and Growth of Protoplanets in Protostellar Discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9909486","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":"sha256:2a7c16380becb7dfddd6fc077ac41a71be4d15a7e9c41f21b0f859ef1174a2ac","target":"record","created_at":"2026-05-18T01:40:12Z","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":"3ef81bb3195531e762b315fe6958b0cc1ae3242879b4fc12186a550fd02709e2","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-09-29T12:01:20Z","title_canon_sha256":"91100771478e4ef1e0e2ec9fca9c0c8adf3a1ae04569f81b8f96da120c14f446"},"schema_version":"1.0","source":{"id":"astro-ph/9909486","kind":"arxiv","version":1}},"canonical_sha256":"f0e9c3bcbbe435aac52e22342f50b60af0beef3b7234ecfef38475a13136e563","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0e9c3bcbbe435aac52e22342f50b60af0beef3b7234ecfef38475a13136e563","first_computed_at":"2026-05-18T01:40:12.597563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:12.597563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wp8vgfhmaLY6VvxvmSP2KMrjazJUFSZ2zEBxVI/4lfjmn1q2qE2H1QjwyRgqeOp4qQBs5m36xmP9sI8rPKqZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:12.598280Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9909486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a7c16380becb7dfddd6fc077ac41a71be4d15a7e9c41f21b0f859ef1174a2ac","sha256:a65878af92f97ef2d1059aea4b7126f9c0cc9dd04ac2745810341cd1fc4cddd8"],"state_sha256":"07263cd39fe3cd7fbb3347e0dd18426acbca4a9f208fe0f994d84c4ba0e49b07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iPhUf8OuuoSKhPb7t3UxNr2nyhyqWXtXSN4RPm1uQKmc8Ny/x/FnYqaDMTcY3p3aSQ04fdJIt/+EiQhVVCZvAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:43:38.646486Z","bundle_sha256":"b56f7cbd61d7a7d3c83031cdeb74ed74fe9bd188ac8732506528a2b45f148471"}}