{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:3MWYDCR7TRGLPPQO3ZSGN5LEZS","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":"9e8517048c561fc98edec7828821fe23b6ce8bf9636b7597302a7ed2319494e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-02-14T07:23:42Z","title_canon_sha256":"ee2b6a3c44867decf542f8b25331afed7991fe45a12f17875ca44e1afd21ad52"},"schema_version":"1.0","source":{"id":"2002.05894","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.05894","created_at":"2026-07-05T02:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"2002.05894v2","created_at":"2026-07-05T02:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05894","created_at":"2026-07-05T02:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"3MWYDCR7TRGL","created_at":"2026-07-05T02:11:43Z"},{"alias_kind":"pith_short_16","alias_value":"3MWYDCR7TRGLPPQO","created_at":"2026-07-05T02:11:43Z"},{"alias_kind":"pith_short_8","alias_value":"3MWYDCR7","created_at":"2026-07-05T02:11:43Z"}],"graph_snapshots":[{"event_id":"sha256:ec8b1da83e8b6ab80d70fe78ddd7f60e2c8c28af4d5d21a18fff7d26bd2a7f91","target":"graph","created_at":"2026-07-05T02:11:43Z","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/2002.05894/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit, which is a geodesic joining the unstable circular orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic structure is present in phase space.","authors_text":"Benrong Mu, Kangkai Liang, Mingtao Yang, Peng Wang, Xiaobo Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-02-14T07:23:42Z","title":"Chaotic Motion around a Black Hole under Minimal Length Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05894","kind":"arxiv","version":2},"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:e905daa947d430603adfebf3424fcad8273203d2292edf4452b6da583aa1306a","target":"record","created_at":"2026-07-05T02:11:43Z","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":"9e8517048c561fc98edec7828821fe23b6ce8bf9636b7597302a7ed2319494e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-02-14T07:23:42Z","title_canon_sha256":"ee2b6a3c44867decf542f8b25331afed7991fe45a12f17875ca44e1afd21ad52"},"schema_version":"1.0","source":{"id":"2002.05894","kind":"arxiv","version":2}},"canonical_sha256":"db2d818a3f9c4cb7be0ede6466f564ccbe632f499116bab369bc7b8a3c5c2bd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db2d818a3f9c4cb7be0ede6466f564ccbe632f499116bab369bc7b8a3c5c2bd4","first_computed_at":"2026-07-05T02:11:43.004375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:11:43.004375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ALWUZMcb1xy9x1dtlA+eoJzPH4PDwYjr14jyq+7ycQJKYoswoA/lUWW7qvWVj0wbAa4fYQ9iBSUSiKMIR5/CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:11:43.004743Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.05894","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e905daa947d430603adfebf3424fcad8273203d2292edf4452b6da583aa1306a","sha256:ec8b1da83e8b6ab80d70fe78ddd7f60e2c8c28af4d5d21a18fff7d26bd2a7f91"],"state_sha256":"707b303b5909d204d71ff10ad616669452bd716623d16f1d3964cad8001f9f5c"}