{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OFYWIHQAQGJYXJ54Q7GMOUGVY3","short_pith_number":"pith:OFYWIHQA","canonical_record":{"source":{"id":"2506.13921","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-16T18:58:01Z","cross_cats_sorted":["physics.class-ph","physics.space-ph"],"title_canon_sha256":"9db5ca776d92591610265d1370665ff99f33cfeed168fa217ec8824569fbdd40","abstract_canon_sha256":"b2d670cee16de58590b3d11230a1599fd90ba3cd143d8af80a614440396136f2"},"schema_version":"1.0"},"canonical_sha256":"7171641e0081938ba7bc87ccc750d5c6dec3ce74308ad92dc807c92ac3c6df0e","source":{"kind":"arxiv","id":"2506.13921","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.13921","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.13921v1","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.13921","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"OFYWIHQAQGJY","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_16","alias_value":"OFYWIHQAQGJYXJ54","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_8","alias_value":"OFYWIHQA","created_at":"2026-07-05T11:22:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OFYWIHQAQGJYXJ54Q7GMOUGVY3","target":"record","payload":{"canonical_record":{"source":{"id":"2506.13921","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-16T18:58:01Z","cross_cats_sorted":["physics.class-ph","physics.space-ph"],"title_canon_sha256":"9db5ca776d92591610265d1370665ff99f33cfeed168fa217ec8824569fbdd40","abstract_canon_sha256":"b2d670cee16de58590b3d11230a1599fd90ba3cd143d8af80a614440396136f2"},"schema_version":"1.0"},"canonical_sha256":"7171641e0081938ba7bc87ccc750d5c6dec3ce74308ad92dc807c92ac3c6df0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:45.817197Z","signature_b64":"VCwIXlVMYArnoTvfDFWL8KfZrIbADXW4UloXeMyJQ6bFeBNJ0QSUvQ/6wM4TARrEhOyF9PYOdFRggQ6Ls5RnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7171641e0081938ba7bc87ccc750d5c6dec3ce74308ad92dc807c92ac3c6df0e","last_reissued_at":"2026-07-05T11:22:45.816702Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:45.816702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.13921","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":"2026-07-05T11:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8v/Y+vJ7HPrh3sf7Jfpjpv1dN+dwGnx9Q7a0ZgcNyNgPuLibo/I8tCe7ffmK75iQctTvZNrY3TJW1QTN2cqqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:30:31.832650Z"},"content_sha256":"8e625ced85ccb253d9322200ccd5c875923080eb5fc9949456912092271724ee","schema_version":"1.0","event_id":"sha256:8e625ced85ccb253d9322200ccd5c875923080eb5fc9949456912092271724ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OFYWIHQAQGJYXJ54Q7GMOUGVY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Study on Effective Initial Guess Finding Method Based on B\\'ezier Curves: Orbit Determination Applications","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.class-ph","physics.space-ph"],"primary_cat":"math.OC","authors_text":"Daegyun Choi, Donghoon Kim, Henzeh Leeghim, Sungwook Yang","submitted_at":"2025-06-16T18:58:01Z","abstract_excerpt":"In celestial mechanics, proper orbits related to missions are obtained by solving two-point boundary value problems. Since a selection method of initial value affects the convergence of the solution, developing an effective method to find an initial guess is required. In this work, B\\'ezier curves, which can describe complicated curves and surfaces, are utilized to find the initial guess. First, the given problems are transformed into B\\'ezier curves forms, and B\\'ezier curves' control points, which can handle the shape of curves, are selected by solving the system of nonlinear equations. Fina"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.13921","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.13921/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":"2026-07-05T11:22:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oms4jHre0Yl/VYu59e2OshXZUAA5S4zzJ0hGUwvW7W0QYKmzhZgjfIRDGnG36bIKvCEyqT5/br91Ba0cIS3hDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:30:31.833547Z"},"content_sha256":"9ee14b291839d53c5a87d72e44b507c27d1b3941c5b5a6150bb122ab96e83829","schema_version":"1.0","event_id":"sha256:9ee14b291839d53c5a87d72e44b507c27d1b3941c5b5a6150bb122ab96e83829"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/bundle.json","state_url":"https://pith.science/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/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":"2026-08-11T01:30:31Z","links":{"resolver":"https://pith.science/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3","bundle":"https://pith.science/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/bundle.json","state":"https://pith.science/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFYWIHQAQGJYXJ54Q7GMOUGVY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OFYWIHQAQGJYXJ54Q7GMOUGVY3","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":"b2d670cee16de58590b3d11230a1599fd90ba3cd143d8af80a614440396136f2","cross_cats_sorted":["physics.class-ph","physics.space-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-16T18:58:01Z","title_canon_sha256":"9db5ca776d92591610265d1370665ff99f33cfeed168fa217ec8824569fbdd40"},"schema_version":"1.0","source":{"id":"2506.13921","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.13921","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.13921v1","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.13921","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"OFYWIHQAQGJY","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_16","alias_value":"OFYWIHQAQGJYXJ54","created_at":"2026-07-05T11:22:45Z"},{"alias_kind":"pith_short_8","alias_value":"OFYWIHQA","created_at":"2026-07-05T11:22:45Z"}],"graph_snapshots":[{"event_id":"sha256:9ee14b291839d53c5a87d72e44b507c27d1b3941c5b5a6150bb122ab96e83829","target":"graph","created_at":"2026-07-05T11:22:45Z","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/2506.13921/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In celestial mechanics, proper orbits related to missions are obtained by solving two-point boundary value problems. Since a selection method of initial value affects the convergence of the solution, developing an effective method to find an initial guess is required. In this work, B\\'ezier curves, which can describe complicated curves and surfaces, are utilized to find the initial guess. First, the given problems are transformed into B\\'ezier curves forms, and B\\'ezier curves' control points, which can handle the shape of curves, are selected by solving the system of nonlinear equations. Fina","authors_text":"Daegyun Choi, Donghoon Kim, Henzeh Leeghim, Sungwook Yang","cross_cats":["physics.class-ph","physics.space-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-16T18:58:01Z","title":"A Study on Effective Initial Guess Finding Method Based on B\\'ezier Curves: Orbit Determination Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.13921","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":"sha256:8e625ced85ccb253d9322200ccd5c875923080eb5fc9949456912092271724ee","target":"record","created_at":"2026-07-05T11:22:45Z","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":"b2d670cee16de58590b3d11230a1599fd90ba3cd143d8af80a614440396136f2","cross_cats_sorted":["physics.class-ph","physics.space-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-16T18:58:01Z","title_canon_sha256":"9db5ca776d92591610265d1370665ff99f33cfeed168fa217ec8824569fbdd40"},"schema_version":"1.0","source":{"id":"2506.13921","kind":"arxiv","version":1}},"canonical_sha256":"7171641e0081938ba7bc87ccc750d5c6dec3ce74308ad92dc807c92ac3c6df0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7171641e0081938ba7bc87ccc750d5c6dec3ce74308ad92dc807c92ac3c6df0e","first_computed_at":"2026-07-05T11:22:45.816702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:22:45.816702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VCwIXlVMYArnoTvfDFWL8KfZrIbADXW4UloXeMyJQ6bFeBNJ0QSUvQ/6wM4TARrEhOyF9PYOdFRggQ6Ls5RnAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:22:45.817197Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.13921","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e625ced85ccb253d9322200ccd5c875923080eb5fc9949456912092271724ee","sha256:9ee14b291839d53c5a87d72e44b507c27d1b3941c5b5a6150bb122ab96e83829"],"state_sha256":"423031963de8ca341e26751c3753d5f4b16855c50a8c2f32201727a71b616aa0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ciuaNgdoeyBSTqKzhS6xhgL1h+6KRHPhLJymUO+XFJGyMK9iaslvTFtJo4bovaB+Kktf/LsNdpnqhtV2oI5aDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T01:30:31.838241Z","bundle_sha256":"2f0fba75c325b2ec298f42789c4b2826b3c9a259c2f964259bffa3ce5794082e"}}