{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WXONQTS72FQ3JRLMH6XOUNRVCN","short_pith_number":"pith:WXONQTS7","canonical_record":{"source":{"id":"1210.0144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-29T19:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"68eccdfbb43fb38c9a7b48cde937b17a5957d4ab1e4113db81e05e6f8ab5c4f5","abstract_canon_sha256":"caefee73d84bef6f1346ea95e6469aab99a23b00b8b28a185710a490c1aa9470"},"schema_version":"1.0"},"canonical_sha256":"b5dcd84e5fd161b4c56c3faeea36351378e3223bb8d4f50250f8da7dabe081e0","source":{"kind":"arxiv","id":"1210.0144","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0144","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0144v1","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0144","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"WXONQTS72FQ3","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WXONQTS72FQ3JRLM","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WXONQTS7","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WXONQTS72FQ3JRLMH6XOUNRVCN","target":"record","payload":{"canonical_record":{"source":{"id":"1210.0144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-29T19:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"68eccdfbb43fb38c9a7b48cde937b17a5957d4ab1e4113db81e05e6f8ab5c4f5","abstract_canon_sha256":"caefee73d84bef6f1346ea95e6469aab99a23b00b8b28a185710a490c1aa9470"},"schema_version":"1.0"},"canonical_sha256":"b5dcd84e5fd161b4c56c3faeea36351378e3223bb8d4f50250f8da7dabe081e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:12.509440Z","signature_b64":"0zFNeOe3xPXJF557LbGDtOScJMMua5Yf2QYdMzycN4j2S04XoNW3cpiCjAa5imMxut1E9sQ7PI1H7eD95favAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5dcd84e5fd161b4c56c3faeea36351378e3223bb8d4f50250f8da7dabe081e0","last_reissued_at":"2026-05-18T01:54:12.508643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:12.508643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.0144","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":"2026-05-18T01:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qf0QDEiMb586fl1fsnnasXClkZemWALinYpHB7JWIzVa+GuBt8ref8k855rXtGldutmmHSm6E72oSrTqqVXIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:26:03.298405Z"},"content_sha256":"2782b8abecfd964973248779edc38d32dff25cb2428c881753a8a3baf19c8cef","schema_version":"1.0","event_id":"sha256:2782b8abecfd964973248779edc38d32dff25cb2428c881753a8a3baf19c8cef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WXONQTS72FQ3JRLMH6XOUNRVCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the \"Blue sky catastrophe termination\" in the restricted four-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jaime Burgos-Garcia, Joaquin Delgado","submitted_at":"2012-09-29T19:09:33Z","abstract_excerpt":"The restricted three-body problem posses the property that some classes of doubly asymptotic orbits are limits members of families of periodic orbits, this phenomena has been known as the \"Blue Sky Catastrophe\" termination. A similar case occurs in the restricted four body problem for the collinear equilibrium point named L2. We make an analytical and numerical study of the stable and unstable manifolds to verify that the hypothesis under which this phenomena occurs are satisfied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0144","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":"2026-05-18T01:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30x6DKEochBAACwgO7Qu1VzbwjnPsMUtwgILtQpfSpj9ZyG+opEyVf9MmVt76O8SICVzsTJp95CKiGxLKH04Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:26:03.298749Z"},"content_sha256":"2d5a7876260e1924b373c43da58e5740afe869f3488dda277d1c31f3482aef92","schema_version":"1.0","event_id":"sha256:2d5a7876260e1924b373c43da58e5740afe869f3488dda277d1c31f3482aef92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/bundle.json","state_url":"https://pith.science/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/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":"2026-06-02T18:26:03Z","links":{"resolver":"https://pith.science/pith/WXONQTS72FQ3JRLMH6XOUNRVCN","bundle":"https://pith.science/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/bundle.json","state":"https://pith.science/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXONQTS72FQ3JRLMH6XOUNRVCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WXONQTS72FQ3JRLMH6XOUNRVCN","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":"caefee73d84bef6f1346ea95e6469aab99a23b00b8b28a185710a490c1aa9470","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-29T19:09:33Z","title_canon_sha256":"68eccdfbb43fb38c9a7b48cde937b17a5957d4ab1e4113db81e05e6f8ab5c4f5"},"schema_version":"1.0","source":{"id":"1210.0144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0144","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0144v1","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0144","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"WXONQTS72FQ3","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WXONQTS72FQ3JRLM","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WXONQTS7","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:2d5a7876260e1924b373c43da58e5740afe869f3488dda277d1c31f3482aef92","target":"graph","created_at":"2026-05-18T01:54:12Z","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":"The restricted three-body problem posses the property that some classes of doubly asymptotic orbits are limits members of families of periodic orbits, this phenomena has been known as the \"Blue Sky Catastrophe\" termination. A similar case occurs in the restricted four body problem for the collinear equilibrium point named L2. We make an analytical and numerical study of the stable and unstable manifolds to verify that the hypothesis under which this phenomena occurs are satisfied.","authors_text":"Jaime Burgos-Garcia, Joaquin Delgado","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-29T19:09:33Z","title":"On the \"Blue sky catastrophe termination\" in the restricted four-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0144","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":"sha256:2782b8abecfd964973248779edc38d32dff25cb2428c881753a8a3baf19c8cef","target":"record","created_at":"2026-05-18T01:54:12Z","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":"caefee73d84bef6f1346ea95e6469aab99a23b00b8b28a185710a490c1aa9470","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-29T19:09:33Z","title_canon_sha256":"68eccdfbb43fb38c9a7b48cde937b17a5957d4ab1e4113db81e05e6f8ab5c4f5"},"schema_version":"1.0","source":{"id":"1210.0144","kind":"arxiv","version":1}},"canonical_sha256":"b5dcd84e5fd161b4c56c3faeea36351378e3223bb8d4f50250f8da7dabe081e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5dcd84e5fd161b4c56c3faeea36351378e3223bb8d4f50250f8da7dabe081e0","first_computed_at":"2026-05-18T01:54:12.508643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:12.508643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0zFNeOe3xPXJF557LbGDtOScJMMua5Yf2QYdMzycN4j2S04XoNW3cpiCjAa5imMxut1E9sQ7PI1H7eD95favAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:12.509440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2782b8abecfd964973248779edc38d32dff25cb2428c881753a8a3baf19c8cef","sha256:2d5a7876260e1924b373c43da58e5740afe869f3488dda277d1c31f3482aef92"],"state_sha256":"770cb392b4c9351be88647af1978f9c7b296e91a3f0504749c5926ed571f1f3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uPc6TMBz78kAylgCfesztfXMdsY2pDMkkOfiNY5A36fHNJv5DksrfExwUkaWhlbh6cHt+iOTTm/XARJvSDP0AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T18:26:03.300633Z","bundle_sha256":"56d05c53b3f9cf4a1a34ba2f07eb0913a1e422bac46e8c9aaff76daea881c552"}}