{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MFXUEV3VEFZ36XW77UV243RKD4","short_pith_number":"pith:MFXUEV3V","canonical_record":{"source":{"id":"1403.0401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2014-03-03T11:38:17Z","cross_cats_sorted":[],"title_canon_sha256":"35e6c1af1a04859e9047957b4086b5c0a0557c0e2aee995c1740fdaff2a99fde","abstract_canon_sha256":"fcfc4a673578aa71dd35f8efa90c5f0baa9a849c67339c7638e4009d528e2b5f"},"schema_version":"1.0"},"canonical_sha256":"616f4257752173bf5edffd2bae6e2a1f0859a93bfdea52cf29c68f34cc12f475","source":{"kind":"arxiv","id":"1403.0401","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0401","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0401v1","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0401","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"MFXUEV3VEFZ3","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MFXUEV3VEFZ36XW7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MFXUEV3V","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MFXUEV3VEFZ36XW77UV243RKD4","target":"record","payload":{"canonical_record":{"source":{"id":"1403.0401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2014-03-03T11:38:17Z","cross_cats_sorted":[],"title_canon_sha256":"35e6c1af1a04859e9047957b4086b5c0a0557c0e2aee995c1740fdaff2a99fde","abstract_canon_sha256":"fcfc4a673578aa71dd35f8efa90c5f0baa9a849c67339c7638e4009d528e2b5f"},"schema_version":"1.0"},"canonical_sha256":"616f4257752173bf5edffd2bae6e2a1f0859a93bfdea52cf29c68f34cc12f475","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:51.402942Z","signature_b64":"hFq8wFV6XPWM4dEHp4oLx0yMRybigEZbXRe/5egLnqgzCnMp2WjZ2FeyNgP71k/iG7lTVKPeZyeLXgoH7B2zDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"616f4257752173bf5edffd2bae6e2a1f0859a93bfdea52cf29c68f34cc12f475","last_reissued_at":"2026-05-18T02:56:51.402550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:51.402550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.0401","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":"2026-05-18T02:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MCe9PkooATUHTOWBDmiwfJxixk9HNH1idE08rmHm8u5dG0jb821WeE31Si5auOznzHhDqYcLZ7LQxA/GuqaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:24:52.208579Z"},"content_sha256":"8a29eee7cd4e037dfb03df3354a1945839f7ab0976b3ec548b0eee2fd9f7cf13","schema_version":"1.0","event_id":"sha256:8a29eee7cd4e037dfb03df3354a1945839f7ab0976b3ec548b0eee2fd9f7cf13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MFXUEV3VEFZ36XW77UV243RKD4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbits and Manifolds near the Equilibrium Points around a Rotating Asteroid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Hengnian Li, Hexi Baoyin, Junfeng Li, Yu Jiang","submitted_at":"2014-03-03T11:38:17Z","abstract_excerpt":"We study the orbits and manifolds near the equilibrium points of a rotating asteroid. The linearised equations of motion relative to the equilibrium points in the gravitational field of a rotating asteroid, the characteristic equation and the stable conditions of the equilibrium points are derived and discussed. First, a new metric is presented to link the orbit and the geodesic of the smooth manifold. Then, using the eigenvalues of the characteristic equation, the equilibrium points are classified into 8 cases. A theorem is presented and proved to describe the structure of the submanifold as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0401","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":"2026-05-18T02:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNoyo32kwJeuEkKwqMhoUL38xpRFNHIhmW8vSKovCkC3qlxAZlz2+2bairF8afrJqmor+9eX+vHbGhk0CA2AAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:24:52.208951Z"},"content_sha256":"b38663aba02859199d87b0a8030bf0dc71cdcf707615ef70b5fbcc565a66bd3e","schema_version":"1.0","event_id":"sha256:b38663aba02859199d87b0a8030bf0dc71cdcf707615ef70b5fbcc565a66bd3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MFXUEV3VEFZ36XW77UV243RKD4/bundle.json","state_url":"https://pith.science/pith/MFXUEV3VEFZ36XW77UV243RKD4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MFXUEV3VEFZ36XW77UV243RKD4/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":"2026-05-25T22:24:52Z","links":{"resolver":"https://pith.science/pith/MFXUEV3VEFZ36XW77UV243RKD4","bundle":"https://pith.science/pith/MFXUEV3VEFZ36XW77UV243RKD4/bundle.json","state":"https://pith.science/pith/MFXUEV3VEFZ36XW77UV243RKD4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MFXUEV3VEFZ36XW77UV243RKD4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MFXUEV3VEFZ36XW77UV243RKD4","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":"fcfc4a673578aa71dd35f8efa90c5f0baa9a849c67339c7638e4009d528e2b5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2014-03-03T11:38:17Z","title_canon_sha256":"35e6c1af1a04859e9047957b4086b5c0a0557c0e2aee995c1740fdaff2a99fde"},"schema_version":"1.0","source":{"id":"1403.0401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0401","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0401v1","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0401","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"MFXUEV3VEFZ3","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MFXUEV3VEFZ36XW7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MFXUEV3V","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:b38663aba02859199d87b0a8030bf0dc71cdcf707615ef70b5fbcc565a66bd3e","target":"graph","created_at":"2026-05-18T02:56:51Z","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 study the orbits and manifolds near the equilibrium points of a rotating asteroid. The linearised equations of motion relative to the equilibrium points in the gravitational field of a rotating asteroid, the characteristic equation and the stable conditions of the equilibrium points are derived and discussed. First, a new metric is presented to link the orbit and the geodesic of the smooth manifold. Then, using the eigenvalues of the characteristic equation, the equilibrium points are classified into 8 cases. A theorem is presented and proved to describe the structure of the submanifold as ","authors_text":"Hengnian Li, Hexi Baoyin, Junfeng Li, Yu Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2014-03-03T11:38:17Z","title":"Orbits and Manifolds near the Equilibrium Points around a Rotating Asteroid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0401","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":"sha256:8a29eee7cd4e037dfb03df3354a1945839f7ab0976b3ec548b0eee2fd9f7cf13","target":"record","created_at":"2026-05-18T02:56:51Z","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":"fcfc4a673578aa71dd35f8efa90c5f0baa9a849c67339c7638e4009d528e2b5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2014-03-03T11:38:17Z","title_canon_sha256":"35e6c1af1a04859e9047957b4086b5c0a0557c0e2aee995c1740fdaff2a99fde"},"schema_version":"1.0","source":{"id":"1403.0401","kind":"arxiv","version":1}},"canonical_sha256":"616f4257752173bf5edffd2bae6e2a1f0859a93bfdea52cf29c68f34cc12f475","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"616f4257752173bf5edffd2bae6e2a1f0859a93bfdea52cf29c68f34cc12f475","first_computed_at":"2026-05-18T02:56:51.402550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:51.402550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hFq8wFV6XPWM4dEHp4oLx0yMRybigEZbXRe/5egLnqgzCnMp2WjZ2FeyNgP71k/iG7lTVKPeZyeLXgoH7B2zDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:51.402942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a29eee7cd4e037dfb03df3354a1945839f7ab0976b3ec548b0eee2fd9f7cf13","sha256:b38663aba02859199d87b0a8030bf0dc71cdcf707615ef70b5fbcc565a66bd3e"],"state_sha256":"32e7f83e6b847cbc1f2c1460607e497c575c6907f740950f5eb10afbbfb81794"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcBPHXvM3yc+P0MHtNmIs8U8e52+x6PM0OnVTbScni/zKkuLloCI/bZOYKFb+fTJWCQxIBdqG62/JYbg5DPGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:24:52.211167Z","bundle_sha256":"7966d21ea661dfeee920dfbd451cd72d45798441c7a8b0c4fb28dde1648beeb7"}}