{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PS66TCQ557KBRJUDJK44UEAZGK","short_pith_number":"pith:PS66TCQ5","canonical_record":{"source":{"id":"1508.00381","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-08-03T11:43:02Z","cross_cats_sorted":[],"title_canon_sha256":"048b233d52d1dfff23fa37991769470f3b986b08c78fa5cca72fc5cca0db75e8","abstract_canon_sha256":"38ca6dee12c0ecdb7067936182277147e8723b2748f0410c598fc14a84224d3d"},"schema_version":"1.0"},"canonical_sha256":"7cbde98a1defd418a6834ab9ca1019328eebf3420c52e7371a37cc35a30fd2a1","source":{"kind":"arxiv","id":"1508.00381","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00381","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00381v1","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00381","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"PS66TCQ557KB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PS66TCQ557KBRJUD","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PS66TCQ5","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PS66TCQ557KBRJUDJK44UEAZGK","target":"record","payload":{"canonical_record":{"source":{"id":"1508.00381","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-08-03T11:43:02Z","cross_cats_sorted":[],"title_canon_sha256":"048b233d52d1dfff23fa37991769470f3b986b08c78fa5cca72fc5cca0db75e8","abstract_canon_sha256":"38ca6dee12c0ecdb7067936182277147e8723b2748f0410c598fc14a84224d3d"},"schema_version":"1.0"},"canonical_sha256":"7cbde98a1defd418a6834ab9ca1019328eebf3420c52e7371a37cc35a30fd2a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:41.949251Z","signature_b64":"ZXD9+3R0Lozsl0PCdSqh8XUn8LDiLjKhaa7395s9N21CsZPMcQPEv1OA8LtmtF9/OWVx4w+7oQmLxyju8h27DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cbde98a1defd418a6834ab9ca1019328eebf3420c52e7371a37cc35a30fd2a1","last_reissued_at":"2026-05-18T01:33:41.948665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:41.948665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.00381","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":"2026-05-18T01:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2E1G3NeWiLCUuQATLGzJN7K0+cM4108kbqeaniHN9l9DG/R6S8PAgborL/UWUJJAj8AsFnzV/dmSZIM/hmPtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:47:19.442940Z"},"content_sha256":"dc7ddeb817788eb1b3fa5a244f3cdd1017d07f97ff9f7a5d5c8c18f0e9098a69","schema_version":"1.0","event_id":"sha256:dc7ddeb817788eb1b3fa5a244f3cdd1017d07f97ff9f7a5d5c8c18f0e9098a69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PS66TCQ557KBRJUDJK44UEAZGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trojan dynamics well approximated by a new Hamiltonian normal form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Rocio Isabel Paez, Ugo Locatelli","submitted_at":"2015-08-03T11:43:02Z","abstract_excerpt":"We revisit a classical perturbative approach to the Hamiltonian related to the motions of Trojan bodies, in the framework of the Planar Circular Restricted Three-Body Problem (PCRTBP), by introducing a number of key new ideas in the formulation. In some sense, we adapt the approach of Garfinkel (1977) to the context of the normal form theory and its modern techniques. First, we make use of Delaunay variables for a physically accurate representation of the system. Therefore, we introduce a novel manipulation of the variables so as to respect the natural behavior of the model. We develop a norma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00381","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":"2026-05-18T01:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQDbqzvsuUp65UmELC9WkPqdvAlWvtDxTxxn3KMyOTew27FKDfdoQBguKGj3lVrn0MBgyUAoS5Ie19Aw1yWiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:47:19.443362Z"},"content_sha256":"95fc24e37923df261c0d2b1e769bb1e1fae06c0985f5a1ac5c622c123d8905cd","schema_version":"1.0","event_id":"sha256:95fc24e37923df261c0d2b1e769bb1e1fae06c0985f5a1ac5c622c123d8905cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PS66TCQ557KBRJUDJK44UEAZGK/bundle.json","state_url":"https://pith.science/pith/PS66TCQ557KBRJUDJK44UEAZGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PS66TCQ557KBRJUDJK44UEAZGK/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":"2026-05-28T20:47:19Z","links":{"resolver":"https://pith.science/pith/PS66TCQ557KBRJUDJK44UEAZGK","bundle":"https://pith.science/pith/PS66TCQ557KBRJUDJK44UEAZGK/bundle.json","state":"https://pith.science/pith/PS66TCQ557KBRJUDJK44UEAZGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PS66TCQ557KBRJUDJK44UEAZGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PS66TCQ557KBRJUDJK44UEAZGK","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":"38ca6dee12c0ecdb7067936182277147e8723b2748f0410c598fc14a84224d3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-08-03T11:43:02Z","title_canon_sha256":"048b233d52d1dfff23fa37991769470f3b986b08c78fa5cca72fc5cca0db75e8"},"schema_version":"1.0","source":{"id":"1508.00381","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00381","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00381v1","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00381","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"PS66TCQ557KB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PS66TCQ557KBRJUD","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PS66TCQ5","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:95fc24e37923df261c0d2b1e769bb1e1fae06c0985f5a1ac5c622c123d8905cd","target":"graph","created_at":"2026-05-18T01:33:41Z","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 revisit a classical perturbative approach to the Hamiltonian related to the motions of Trojan bodies, in the framework of the Planar Circular Restricted Three-Body Problem (PCRTBP), by introducing a number of key new ideas in the formulation. In some sense, we adapt the approach of Garfinkel (1977) to the context of the normal form theory and its modern techniques. First, we make use of Delaunay variables for a physically accurate representation of the system. Therefore, we introduce a novel manipulation of the variables so as to respect the natural behavior of the model. We develop a norma","authors_text":"Rocio Isabel Paez, Ugo Locatelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-08-03T11:43:02Z","title":"Trojan dynamics well approximated by a new Hamiltonian normal form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00381","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:dc7ddeb817788eb1b3fa5a244f3cdd1017d07f97ff9f7a5d5c8c18f0e9098a69","target":"record","created_at":"2026-05-18T01:33:41Z","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":"38ca6dee12c0ecdb7067936182277147e8723b2748f0410c598fc14a84224d3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-08-03T11:43:02Z","title_canon_sha256":"048b233d52d1dfff23fa37991769470f3b986b08c78fa5cca72fc5cca0db75e8"},"schema_version":"1.0","source":{"id":"1508.00381","kind":"arxiv","version":1}},"canonical_sha256":"7cbde98a1defd418a6834ab9ca1019328eebf3420c52e7371a37cc35a30fd2a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cbde98a1defd418a6834ab9ca1019328eebf3420c52e7371a37cc35a30fd2a1","first_computed_at":"2026-05-18T01:33:41.948665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:41.948665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZXD9+3R0Lozsl0PCdSqh8XUn8LDiLjKhaa7395s9N21CsZPMcQPEv1OA8LtmtF9/OWVx4w+7oQmLxyju8h27DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:41.949251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00381","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc7ddeb817788eb1b3fa5a244f3cdd1017d07f97ff9f7a5d5c8c18f0e9098a69","sha256:95fc24e37923df261c0d2b1e769bb1e1fae06c0985f5a1ac5c622c123d8905cd"],"state_sha256":"bcdcde257f87065d33e4afb54b9453efefe976afb8faad9f4abde4c74f28f403"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jF2AqQNIY45qySF0ygSDl5rushArCEOq63AIiA+cxBg+Nj05VpnVEEiicWSV7Tq1PFoukt5m9tK1n3U8cNgaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:47:19.447245Z","bundle_sha256":"117100a78ca992d0789b04e6691fb6cf5917dad02ff976acd710db44d8926f61"}}