{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5B4C4TWKPMCSHM5YAFPVNHANTV","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":"088115b2199837ccc5c4bb92231feee989f53cdc2ba7e26fc97301f49d644b1c","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-06-11T10:15:05Z","title_canon_sha256":"111d58a8202c59ce593f17f913044fd76903734921bbceef3b95c4f897203a64"},"schema_version":"1.0","source":{"id":"1906.04482","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04482","created_at":"2026-05-17T23:43:39Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04482v1","created_at":"2026-05-17T23:43:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04482","created_at":"2026-05-17T23:43:39Z"},{"alias_kind":"pith_short_12","alias_value":"5B4C4TWKPMCS","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5B4C4TWKPMCSHM5Y","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5B4C4TWK","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:8a7f7a46d9cd2ff462fc137e99d8f0e66ad2800a365a2a075eea84cfc55b9069","target":"graph","created_at":"2026-05-17T23:43:39Z","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":"Normal forms of Hamiltonian are very important to analyze the nonlinear stability of a dynamical system in the vicinity of invariant objects. This paper presents the normalization of Hamiltonian and the analysis of nonlinear stability of triangular equilibrium points in non-resonance case, in the photogravitational restricted three body problem under the influence of radiation pressures and P-R drags of the radiating primaries. The Hamiltonian of the system is normalized up to fourth order through Lie transform method and then to apply the Arnold-Moser theorem, Birkhoff normal form of the Hami","authors_text":"Bhola Ishwar, M. Xavier James Raj, Ram Kishor","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-06-11T10:15:05Z","title":"Normalization of Hamiltonian and nonlinear stability of triangular equilibrium points in the photogravitational restricted three body problem with P-R drag in non-resonance case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04482","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":"sha256:53d2f0d495412ac0684c68eada3bac9e4d296b4bd44378a64c7abe7c76a2c709","target":"record","created_at":"2026-05-17T23:43:39Z","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":"088115b2199837ccc5c4bb92231feee989f53cdc2ba7e26fc97301f49d644b1c","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-06-11T10:15:05Z","title_canon_sha256":"111d58a8202c59ce593f17f913044fd76903734921bbceef3b95c4f897203a64"},"schema_version":"1.0","source":{"id":"1906.04482","kind":"arxiv","version":1}},"canonical_sha256":"e8782e4eca7b0523b3b8015f569c0d9d613c31188bfbc9bc740b78a2bb80c6f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8782e4eca7b0523b3b8015f569c0d9d613c31188bfbc9bc740b78a2bb80c6f4","first_computed_at":"2026-05-17T23:43:39.150516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:39.150516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVedql39u8dcaiWwD4RklSw2aH3kzm/v2CZmA1dkTW5RzePxM8uvTDrClEKP3TWPbCc1UKNzNbCIEwOUVDg/Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:39.150958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04482","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53d2f0d495412ac0684c68eada3bac9e4d296b4bd44378a64c7abe7c76a2c709","sha256:8a7f7a46d9cd2ff462fc137e99d8f0e66ad2800a365a2a075eea84cfc55b9069"],"state_sha256":"93f18bd3f0df3a60c094407ccb35732a193288adb34f2da579d5b9be26b504e4"}