{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VCXH5UKA4OBNNZRB4TGI3WFHYK","short_pith_number":"pith:VCXH5UKA","canonical_record":{"source":{"id":"1709.03939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-09-10T23:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"4a92ea661650335caf60f8684a6f58a869af89db5797bc8b40591341d382731f","abstract_canon_sha256":"10b68bf2392e5800bbe15239ed27a9199ad1759678d3f54bc2f6a2c67db62001"},"schema_version":"1.0"},"canonical_sha256":"a8ae7ed140e382d6e621e4cc8dd8a7c2b1c2989457453272f25425c3423e12d0","source":{"kind":"arxiv","id":"1709.03939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03939","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03939v1","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03939","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"pith_short_12","alias_value":"VCXH5UKA4OBN","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VCXH5UKA4OBNNZRB","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VCXH5UKA","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VCXH5UKA4OBNNZRB4TGI3WFHYK","target":"record","payload":{"canonical_record":{"source":{"id":"1709.03939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-09-10T23:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"4a92ea661650335caf60f8684a6f58a869af89db5797bc8b40591341d382731f","abstract_canon_sha256":"10b68bf2392e5800bbe15239ed27a9199ad1759678d3f54bc2f6a2c67db62001"},"schema_version":"1.0"},"canonical_sha256":"a8ae7ed140e382d6e621e4cc8dd8a7c2b1c2989457453272f25425c3423e12d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:28.978960Z","signature_b64":"JGmv8dH394lITLZx20iqVpDNdHd/ng32WviikE5uRfBiM91FRgUuaRQ0udj+9RR9+jJwNGhvpwgY0/42QoxSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8ae7ed140e382d6e621e4cc8dd8a7c2b1c2989457453272f25425c3423e12d0","last_reissued_at":"2026-05-18T00:35:28.978298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:28.978298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.03939","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":"2026-05-18T00:35:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PLjFvtdIqKTq0c/1LBbHR1Yprs2VGG+PhwKJ4oMMYkbfdLgsmtk2PVMRs9rgPCBoCp2t1KBdfjpmS8deCN/DBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:16:10.116017Z"},"content_sha256":"e0ba489d19446c63cb1e49c2d4f86912f89af7744391a23a969f42a042f84ace","schema_version":"1.0","event_id":"sha256:e0ba489d19446c63cb1e49c2d4f86912f89af7744391a23a969f42a042f84ace"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VCXH5UKA4OBNNZRB4TGI3WFHYK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Are numerical theories irreplaceable? A computational complexity analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Dmitry Pavlov, Nickolay Vasiliev","submitted_at":"2017-09-10T23:54:48Z","abstract_excerpt":"It is widely known that numerically integrated orbits are more precise than analytical theories for celestial bodies. However, calculation of the positions of celestial bodies via numerical integration at time $t$ requires the amount of computer time proportional to $t$, while calculation by analytical series is usually asymptotically faster.\n  The following question then arises: can the precision of numerical theories be combined with the computational speed of analytical ones? We give a negative answer to that question for a particular three-body problem known as Sitnikov problem.\n  A formal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03939","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":"2026-05-18T00:35:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tpb7AXLxxNqAr/TAqwjlVViWQJq0KkSqt2d8YTx5q3W5vCo5eNWjeFDLIkYAXG9mmJpNYUTJr0W827rseXW3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:16:10.116383Z"},"content_sha256":"6f9b7e6f2bc1aa7ecbdf05a137ebf34ec20f64f3020f18919a925955d6ddb7cd","schema_version":"1.0","event_id":"sha256:6f9b7e6f2bc1aa7ecbdf05a137ebf34ec20f64f3020f18919a925955d6ddb7cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/bundle.json","state_url":"https://pith.science/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/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":"2026-06-30T09:16:10Z","links":{"resolver":"https://pith.science/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK","bundle":"https://pith.science/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/bundle.json","state":"https://pith.science/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VCXH5UKA4OBNNZRB4TGI3WFHYK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VCXH5UKA4OBNNZRB4TGI3WFHYK","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":"10b68bf2392e5800bbe15239ed27a9199ad1759678d3f54bc2f6a2c67db62001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-09-10T23:54:48Z","title_canon_sha256":"4a92ea661650335caf60f8684a6f58a869af89db5797bc8b40591341d382731f"},"schema_version":"1.0","source":{"id":"1709.03939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03939","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03939v1","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03939","created_at":"2026-05-18T00:35:28Z"},{"alias_kind":"pith_short_12","alias_value":"VCXH5UKA4OBN","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VCXH5UKA4OBNNZRB","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VCXH5UKA","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:6f9b7e6f2bc1aa7ecbdf05a137ebf34ec20f64f3020f18919a925955d6ddb7cd","target":"graph","created_at":"2026-05-18T00:35:28Z","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":"It is widely known that numerically integrated orbits are more precise than analytical theories for celestial bodies. However, calculation of the positions of celestial bodies via numerical integration at time $t$ requires the amount of computer time proportional to $t$, while calculation by analytical series is usually asymptotically faster.\n  The following question then arises: can the precision of numerical theories be combined with the computational speed of analytical ones? We give a negative answer to that question for a particular three-body problem known as Sitnikov problem.\n  A formal","authors_text":"Dmitry Pavlov, Nickolay Vasiliev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-09-10T23:54:48Z","title":"Are numerical theories irreplaceable? A computational complexity analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03939","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:e0ba489d19446c63cb1e49c2d4f86912f89af7744391a23a969f42a042f84ace","target":"record","created_at":"2026-05-18T00:35:28Z","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":"10b68bf2392e5800bbe15239ed27a9199ad1759678d3f54bc2f6a2c67db62001","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-09-10T23:54:48Z","title_canon_sha256":"4a92ea661650335caf60f8684a6f58a869af89db5797bc8b40591341d382731f"},"schema_version":"1.0","source":{"id":"1709.03939","kind":"arxiv","version":1}},"canonical_sha256":"a8ae7ed140e382d6e621e4cc8dd8a7c2b1c2989457453272f25425c3423e12d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8ae7ed140e382d6e621e4cc8dd8a7c2b1c2989457453272f25425c3423e12d0","first_computed_at":"2026-05-18T00:35:28.978298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:28.978298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JGmv8dH394lITLZx20iqVpDNdHd/ng32WviikE5uRfBiM91FRgUuaRQ0udj+9RR9+jJwNGhvpwgY0/42QoxSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:28.978960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0ba489d19446c63cb1e49c2d4f86912f89af7744391a23a969f42a042f84ace","sha256:6f9b7e6f2bc1aa7ecbdf05a137ebf34ec20f64f3020f18919a925955d6ddb7cd"],"state_sha256":"d7e31f5bc3652bdf236c060f9eb1fb5129b54139389928e46fccd5af88dc73db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6Gh4rrq40VUoUhj9JMqaPAmhZ+GAYOi/wXRmAez8E7R/NCOCHIAaoXhnW3pytRAkP7SpA71lBgP7rtAwnPgBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T09:16:10.118258Z","bundle_sha256":"df1d416b035d61ff3f2838d462b02a3201fad8b09cd49814696da69869940281"}}