{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OQ3BMNXDQJTWJ4VC3QVCIBCCY7","short_pith_number":"pith:OQ3BMNXD","canonical_record":{"source":{"id":"2512.03849","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-12-03T14:49:05Z","cross_cats_sorted":["astro-ph.EP","math.SG"],"title_canon_sha256":"6f187714be37b6068c75fa1a74a9c0e439d65f879634ab5899a0e1761af1e4e0","abstract_canon_sha256":"c55aabe18f3ddd46674abc4400abf11c9d6eab138392b940fdafbdc03019c3fa"},"schema_version":"1.0"},"canonical_sha256":"74361636e3826764f2a2dc2a240442c7c8063826941d4dbe2c12dd34fc40dff1","source":{"kind":"arxiv","id":"2512.03849","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.03849","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"arxiv_version","alias_value":"2512.03849v3","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.03849","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_12","alias_value":"OQ3BMNXDQJTW","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_16","alias_value":"OQ3BMNXDQJTWJ4VC","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_8","alias_value":"OQ3BMNXD","created_at":"2026-06-26T00:15:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OQ3BMNXDQJTWJ4VC3QVCIBCCY7","target":"record","payload":{"canonical_record":{"source":{"id":"2512.03849","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-12-03T14:49:05Z","cross_cats_sorted":["astro-ph.EP","math.SG"],"title_canon_sha256":"6f187714be37b6068c75fa1a74a9c0e439d65f879634ab5899a0e1761af1e4e0","abstract_canon_sha256":"c55aabe18f3ddd46674abc4400abf11c9d6eab138392b940fdafbdc03019c3fa"},"schema_version":"1.0"},"canonical_sha256":"74361636e3826764f2a2dc2a240442c7c8063826941d4dbe2c12dd34fc40dff1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:24.238981Z","signature_b64":"q3Dz4wwv4zDgoSaK/fXeFSEpcIR1vASE3y2yVuIQreD5yklPvZT9CDs/n+21X7lMwLLXWJfqrdK4XWT53wsWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74361636e3826764f2a2dc2a240442c7c8063826941d4dbe2c12dd34fc40dff1","last_reissued_at":"2026-06-26T00:15:24.238497Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:24.238497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.03849","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-26T00:15:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XaBS9orzFP/IAi6tBpdHQja9iwEbqEW9y2zGS3LraAIc3Jvzyf98ZPNVB01lcQYPCyb/HRqECB/7zEYePJm9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T23:29:13.187370Z"},"content_sha256":"341241ff532e87640825f3c922be2598e9ca0ad4c74973f41b7c3994b72ab086","schema_version":"1.0","event_id":"sha256:341241ff532e87640825f3c922be2598e9ca0ad4c74973f41b7c3994b72ab086"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OQ3BMNXDQJTWJ4VC3QVCIBCCY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcations of highly inclined near halo orbits using Moser regularization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.EP","math.SG"],"primary_cat":"math.DS","authors_text":"Chankyu Joung, Dayung Koh, Otto van Koert","submitted_at":"2025-12-03T14:49:05Z","abstract_excerpt":"We study the bifurcation structure of highly inclined near halo orbits with close approaches to the light primary, in the circular restricted three-body problem (CR3BP). Using a Hamiltonian formulation together with Moser regularization, we develop a numerical framework for the continuation of periodic orbits and the computation of their Floquet multipliers which remains effective near collision. We describe vertical collision orbits and families emerging from its pitchfork, period-doubling, and period-tripling bifurcations in the limiting Hill's problem, including the halo and butterfly famil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.03849","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.03849/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-26T00:15:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z6d/hxEoxFwObfgK/edbzIv/VDRy+RDVBsFZ+McYEP1ybgmptq8rFnc6r1VDuQLDJ32Uh8TvABWE6IjirZCiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T23:29:13.187733Z"},"content_sha256":"efe14d08aac63607ed3bcb5b2e0097a1c5d9b5158e833f3b104fbf7de9f14223","schema_version":"1.0","event_id":"sha256:efe14d08aac63607ed3bcb5b2e0097a1c5d9b5158e833f3b104fbf7de9f14223"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/bundle.json","state_url":"https://pith.science/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/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":"2026-06-29T23:29:13Z","links":{"resolver":"https://pith.science/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7","bundle":"https://pith.science/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/bundle.json","state":"https://pith.science/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OQ3BMNXDQJTWJ4VC3QVCIBCCY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OQ3BMNXDQJTWJ4VC3QVCIBCCY7","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":"c55aabe18f3ddd46674abc4400abf11c9d6eab138392b940fdafbdc03019c3fa","cross_cats_sorted":["astro-ph.EP","math.SG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-12-03T14:49:05Z","title_canon_sha256":"6f187714be37b6068c75fa1a74a9c0e439d65f879634ab5899a0e1761af1e4e0"},"schema_version":"1.0","source":{"id":"2512.03849","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.03849","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"arxiv_version","alias_value":"2512.03849v3","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.03849","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_12","alias_value":"OQ3BMNXDQJTW","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_16","alias_value":"OQ3BMNXDQJTWJ4VC","created_at":"2026-06-26T00:15:24Z"},{"alias_kind":"pith_short_8","alias_value":"OQ3BMNXD","created_at":"2026-06-26T00:15:24Z"}],"graph_snapshots":[{"event_id":"sha256:efe14d08aac63607ed3bcb5b2e0097a1c5d9b5158e833f3b104fbf7de9f14223","target":"graph","created_at":"2026-06-26T00:15:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2512.03849/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the bifurcation structure of highly inclined near halo orbits with close approaches to the light primary, in the circular restricted three-body problem (CR3BP). Using a Hamiltonian formulation together with Moser regularization, we develop a numerical framework for the continuation of periodic orbits and the computation of their Floquet multipliers which remains effective near collision. We describe vertical collision orbits and families emerging from its pitchfork, period-doubling, and period-tripling bifurcations in the limiting Hill's problem, including the halo and butterfly famil","authors_text":"Chankyu Joung, Dayung Koh, Otto van Koert","cross_cats":["astro-ph.EP","math.SG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-12-03T14:49:05Z","title":"Bifurcations of highly inclined near halo orbits using Moser regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.03849","kind":"arxiv","version":3},"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":"sha256:341241ff532e87640825f3c922be2598e9ca0ad4c74973f41b7c3994b72ab086","target":"record","created_at":"2026-06-26T00:15:24Z","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":"c55aabe18f3ddd46674abc4400abf11c9d6eab138392b940fdafbdc03019c3fa","cross_cats_sorted":["astro-ph.EP","math.SG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2025-12-03T14:49:05Z","title_canon_sha256":"6f187714be37b6068c75fa1a74a9c0e439d65f879634ab5899a0e1761af1e4e0"},"schema_version":"1.0","source":{"id":"2512.03849","kind":"arxiv","version":3}},"canonical_sha256":"74361636e3826764f2a2dc2a240442c7c8063826941d4dbe2c12dd34fc40dff1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74361636e3826764f2a2dc2a240442c7c8063826941d4dbe2c12dd34fc40dff1","first_computed_at":"2026-06-26T00:15:24.238497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:24.238497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q3Dz4wwv4zDgoSaK/fXeFSEpcIR1vASE3y2yVuIQreD5yklPvZT9CDs/n+21X7lMwLLXWJfqrdK4XWT53wsWDA==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:24.238981Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.03849","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:341241ff532e87640825f3c922be2598e9ca0ad4c74973f41b7c3994b72ab086","sha256:efe14d08aac63607ed3bcb5b2e0097a1c5d9b5158e833f3b104fbf7de9f14223"],"state_sha256":"1af8e293a444e55149a84e651d7296e87c1522b983ea1bcca55da10a30539cd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XmRT5W08UHxbHVd6fsQo7RmBEq9wkQbrcAeWC5RbjNlaEIFfRTyOr3vVtkAs4RNshMOjv2Sal7a+Vi5KgrHMAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T23:29:13.189882Z","bundle_sha256":"972e5755fce9aaf3b47bd9c95bab0a1c7ef78b093b2a551a4fa3ac8e9c6a9875"}}