{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:TQFBKESB33ZSWSYPT6EBA7S6MN","short_pith_number":"pith:TQFBKESB","canonical_record":{"source":{"id":"0901.1018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-01-08T11:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"0b4b510c2af3d180f121a5ca32fa6edbb08790cb9ac04a2ed7573fe026eeb88c","abstract_canon_sha256":"bc5f2b16d04c22f039ed2be9931c2849430af22e7cbf23db734e7b4a22381a60"},"schema_version":"1.0"},"canonical_sha256":"9c0a151241def32b4b0f9f88107e5e637d287e4c7dde8b10bf473f6c30769324","source":{"kind":"arxiv","id":"0901.1018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1018","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1018v1","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1018","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"TQFBKESB33ZS","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TQFBKESB33ZSWSYP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TQFBKESB","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:TQFBKESB33ZSWSYPT6EBA7S6MN","target":"record","payload":{"canonical_record":{"source":{"id":"0901.1018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-01-08T11:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"0b4b510c2af3d180f121a5ca32fa6edbb08790cb9ac04a2ed7573fe026eeb88c","abstract_canon_sha256":"bc5f2b16d04c22f039ed2be9931c2849430af22e7cbf23db734e7b4a22381a60"},"schema_version":"1.0"},"canonical_sha256":"9c0a151241def32b4b0f9f88107e5e637d287e4c7dde8b10bf473f6c30769324","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:08.334027Z","signature_b64":"hpqW3rLqcCC+uE4D1DqbBb4KzWrb3QqwLEZhp1Yaa+bsNppfb39a3T1Z+H+kOGTfNq6l6fqZV7bXYWibfYwTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c0a151241def32b4b0f9f88107e5e637d287e4c7dde8b10bf473f6c30769324","last_reissued_at":"2026-05-18T02:35:08.333556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:08.333556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.1018","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":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cg1ydLPxsh4+EWnREIMuOedg4jnAcDnfSCIQ7Nh+VwGG2Wav6SVepN82oMM6qp8H5vZZ5Gxb0lGS7bkU6A6KAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:31:03.920412Z"},"content_sha256":"83fda42c06c9ace569ec5e01a9272c70333e7b1b63fb1dbbbe0f4193cd0b928e","schema_version":"1.0","event_id":"sha256:83fda42c06c9ace569ec5e01a9272c70333e7b1b63fb1dbbbe0f4193cd0b928e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:TQFBKESB33ZSWSYPT6EBA7S6MN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High performance computing for classic gravitational N-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Italy), Roberto Capuzzo-Dolcetta (Dept. of Physics, Roma, Sapienza, Universita di Roma","submitted_at":"2009-01-08T11:07:54Z","abstract_excerpt":"The role of gravity is crucial in astrophysics. It determines the evolution of any system, over an enormous range of time and space scales. Astronomical stellar systems as composed by N interacting bodies represent examples of self-gravitating systems, usually treatable with the aid of newtonian gravity but for particular cases. In this note I will briefly discuss some of the open problems in the dynamical study of classic self-gravitating N-body systems, over the astronomical range of N. I will also point out how modern research in this field compulsorily requires a heavy use of large scale c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1018","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":"2026-05-18T02:35:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wG5gX/rz5dVEoabxxLxj8JrT4JAqTlg+B6BbOq82KEIhcFcJuoyHK2Cf38qfF7jbZXHIaGRua2e6aOLrtV+yAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:31:03.920968Z"},"content_sha256":"6de6adbd7481dd9fcd979a997def708539f23c4565461e60b92095d512f5830b","schema_version":"1.0","event_id":"sha256:6de6adbd7481dd9fcd979a997def708539f23c4565461e60b92095d512f5830b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/bundle.json","state_url":"https://pith.science/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/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":"2026-06-12T09:31:03Z","links":{"resolver":"https://pith.science/pith/TQFBKESB33ZSWSYPT6EBA7S6MN","bundle":"https://pith.science/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/bundle.json","state":"https://pith.science/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQFBKESB33ZSWSYPT6EBA7S6MN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TQFBKESB33ZSWSYPT6EBA7S6MN","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":"bc5f2b16d04c22f039ed2be9931c2849430af22e7cbf23db734e7b4a22381a60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-01-08T11:07:54Z","title_canon_sha256":"0b4b510c2af3d180f121a5ca32fa6edbb08790cb9ac04a2ed7573fe026eeb88c"},"schema_version":"1.0","source":{"id":"0901.1018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1018","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1018v1","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1018","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"TQFBKESB33ZS","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TQFBKESB33ZSWSYP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TQFBKESB","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:6de6adbd7481dd9fcd979a997def708539f23c4565461e60b92095d512f5830b","target":"graph","created_at":"2026-05-18T02:35:08Z","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 role of gravity is crucial in astrophysics. It determines the evolution of any system, over an enormous range of time and space scales. Astronomical stellar systems as composed by N interacting bodies represent examples of self-gravitating systems, usually treatable with the aid of newtonian gravity but for particular cases. In this note I will briefly discuss some of the open problems in the dynamical study of classic self-gravitating N-body systems, over the astronomical range of N. I will also point out how modern research in this field compulsorily requires a heavy use of large scale c","authors_text":"Italy), Roberto Capuzzo-Dolcetta (Dept. of Physics, Roma, Sapienza, Universita di Roma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-01-08T11:07:54Z","title":"High performance computing for classic gravitational N-body systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1018","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":"sha256:83fda42c06c9ace569ec5e01a9272c70333e7b1b63fb1dbbbe0f4193cd0b928e","target":"record","created_at":"2026-05-18T02:35:08Z","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":"bc5f2b16d04c22f039ed2be9931c2849430af22e7cbf23db734e7b4a22381a60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2009-01-08T11:07:54Z","title_canon_sha256":"0b4b510c2af3d180f121a5ca32fa6edbb08790cb9ac04a2ed7573fe026eeb88c"},"schema_version":"1.0","source":{"id":"0901.1018","kind":"arxiv","version":1}},"canonical_sha256":"9c0a151241def32b4b0f9f88107e5e637d287e4c7dde8b10bf473f6c30769324","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c0a151241def32b4b0f9f88107e5e637d287e4c7dde8b10bf473f6c30769324","first_computed_at":"2026-05-18T02:35:08.333556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:08.333556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hpqW3rLqcCC+uE4D1DqbBb4KzWrb3QqwLEZhp1Yaa+bsNppfb39a3T1Z+H+kOGTfNq6l6fqZV7bXYWibfYwTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:08.334027Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83fda42c06c9ace569ec5e01a9272c70333e7b1b63fb1dbbbe0f4193cd0b928e","sha256:6de6adbd7481dd9fcd979a997def708539f23c4565461e60b92095d512f5830b"],"state_sha256":"9a725a3fcff580ba500512080c25cdcd21f92291e55f225cbf5de5fb0eba3133"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lDrecvyvUynzjYIMJfoCzF7QH6rEkcab6tvPJYWZxLWJbZoKltOmCy7A+dFHanE8p5t4H+4HQFwmpQWGJu/MCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:31:03.924490Z","bundle_sha256":"43c55134a74861c763763ef501e32805bcbed993ed01f77931f3add302e5cf3c"}}