{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DBR4324NRB4TZ7RP2JJC47EGQ2","short_pith_number":"pith:DBR4324N","canonical_record":{"source":{"id":"1211.4096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-11-17T09:19:45Z","cross_cats_sorted":[],"title_canon_sha256":"abcb52023350ef6806bb00587c5131ef19831cd4a878d4da4396c468ce340e7e","abstract_canon_sha256":"b27e160436b89da1c2fa9980a1d136760dcef56649687b7be36b4b0bcf7e7b5e"},"schema_version":"1.0"},"canonical_sha256":"1863cdeb8d88793cfe2fd2522e7c8686ababab2801276afb34ea2b795e3e1841","source":{"kind":"arxiv","id":"1211.4096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4096","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4096v1","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4096","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"DBR4324NRB4T","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DBR4324NRB4TZ7RP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DBR4324N","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DBR4324NRB4TZ7RP2JJC47EGQ2","target":"record","payload":{"canonical_record":{"source":{"id":"1211.4096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-11-17T09:19:45Z","cross_cats_sorted":[],"title_canon_sha256":"abcb52023350ef6806bb00587c5131ef19831cd4a878d4da4396c468ce340e7e","abstract_canon_sha256":"b27e160436b89da1c2fa9980a1d136760dcef56649687b7be36b4b0bcf7e7b5e"},"schema_version":"1.0"},"canonical_sha256":"1863cdeb8d88793cfe2fd2522e7c8686ababab2801276afb34ea2b795e3e1841","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:28.043756Z","signature_b64":"MNY1HXiG4V9Fof3dPK3nXjpEyK1dd9xZjqvII97oc9sPi3kc+EdQ9YrT4MBQkKMLEXWl78UUQrdO0pBhplQRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1863cdeb8d88793cfe2fd2522e7c8686ababab2801276afb34ea2b795e3e1841","last_reissued_at":"2026-05-18T03:40:28.043076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:28.043076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.4096","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":"2026-05-18T03:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8255vZmsba9XPiX+1QXnvJXYoBhyQ0b/wwd7R9a8/mX60r/fRV6FfYRsSidx4YtmaNECpGkRAY98BmNzG2mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:58:48.879670Z"},"content_sha256":"3de5c2445e0bc12659a323e76a7006c4eb0ae3066640cccf000a9b66e4eb106b","schema_version":"1.0","event_id":"sha256:3de5c2445e0bc12659a323e76a7006c4eb0ae3066640cccf000a9b66e4eb106b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DBR4324NRB4TZ7RP2JJC47EGQ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hill Stability of Triple Minor Planets in the Solar System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Hexi Baoyin, John Richard Donnison, Nikolaos Georgakarakos, XiaoDong Liu, Xingrui Ma","submitted_at":"2012-11-17T09:19:45Z","abstract_excerpt":"The triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004. In this paper, the Hill stability of the nine known triple minor planets in the Solar system is investigated. Seven of the systems are of large size ratio, i.e. they consist of a larger primary and two moonlets, while the other two systems have components of comparable size. Each case is treated separately. For the triple minor planets that have large size ra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4096","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":"2026-05-18T03:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytD3qYSlF2azwMXHoyhMbitv785Mun4D4aqRwGW+zlJVAIBHvG5BnDJi9VFqA7NWG1RK3Cn8dJdn8lRshDuSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:58:48.880499Z"},"content_sha256":"396383ef682c1034d604c327c8835fd00fd79ef5fe9257a952b09d3394297460","schema_version":"1.0","event_id":"sha256:396383ef682c1034d604c327c8835fd00fd79ef5fe9257a952b09d3394297460"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/bundle.json","state_url":"https://pith.science/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/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":"2026-05-25T22:58:48Z","links":{"resolver":"https://pith.science/pith/DBR4324NRB4TZ7RP2JJC47EGQ2","bundle":"https://pith.science/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/bundle.json","state":"https://pith.science/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DBR4324NRB4TZ7RP2JJC47EGQ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DBR4324NRB4TZ7RP2JJC47EGQ2","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":"b27e160436b89da1c2fa9980a1d136760dcef56649687b7be36b4b0bcf7e7b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-11-17T09:19:45Z","title_canon_sha256":"abcb52023350ef6806bb00587c5131ef19831cd4a878d4da4396c468ce340e7e"},"schema_version":"1.0","source":{"id":"1211.4096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4096","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4096v1","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4096","created_at":"2026-05-18T03:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"DBR4324NRB4T","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DBR4324NRB4TZ7RP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DBR4324N","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:396383ef682c1034d604c327c8835fd00fd79ef5fe9257a952b09d3394297460","target":"graph","created_at":"2026-05-18T03:40:28Z","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 triple asteroids and triple Kuiper belt objects (collectively called the triple minor planets) in the Solar system are of particular interest to the scientific community since the discovery of the first triple asteroid system in 2004. In this paper, the Hill stability of the nine known triple minor planets in the Solar system is investigated. Seven of the systems are of large size ratio, i.e. they consist of a larger primary and two moonlets, while the other two systems have components of comparable size. Each case is treated separately. For the triple minor planets that have large size ra","authors_text":"Hexi Baoyin, John Richard Donnison, Nikolaos Georgakarakos, XiaoDong Liu, Xingrui Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-11-17T09:19:45Z","title":"The Hill Stability of Triple Minor Planets in the Solar System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4096","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":"sha256:3de5c2445e0bc12659a323e76a7006c4eb0ae3066640cccf000a9b66e4eb106b","target":"record","created_at":"2026-05-18T03:40:28Z","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":"b27e160436b89da1c2fa9980a1d136760dcef56649687b7be36b4b0bcf7e7b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-11-17T09:19:45Z","title_canon_sha256":"abcb52023350ef6806bb00587c5131ef19831cd4a878d4da4396c468ce340e7e"},"schema_version":"1.0","source":{"id":"1211.4096","kind":"arxiv","version":1}},"canonical_sha256":"1863cdeb8d88793cfe2fd2522e7c8686ababab2801276afb34ea2b795e3e1841","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1863cdeb8d88793cfe2fd2522e7c8686ababab2801276afb34ea2b795e3e1841","first_computed_at":"2026-05-18T03:40:28.043076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:28.043076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MNY1HXiG4V9Fof3dPK3nXjpEyK1dd9xZjqvII97oc9sPi3kc+EdQ9YrT4MBQkKMLEXWl78UUQrdO0pBhplQRDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:28.043756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3de5c2445e0bc12659a323e76a7006c4eb0ae3066640cccf000a9b66e4eb106b","sha256:396383ef682c1034d604c327c8835fd00fd79ef5fe9257a952b09d3394297460"],"state_sha256":"1bdfd68937698d48df8b8d96248291a9cb2f4cb807ab3511b93f4c8f61685028"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C7YvMoBvzYbsMzq/2JAYH9ZK4j0Rc+DGSmmY5mOucPu5+9zq9uAzDXfBu2a7bgpJGAiOJe8crU8WcQKljAU7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:58:48.884385Z","bundle_sha256":"7992f5394f8cbc8c95dfd9e8a6ee1d206ed49aec49e51a16be144faf030ed0b3"}}