{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3","short_pith_number":"pith:6QDW2T3Z","canonical_record":{"source":{"id":"1803.02828","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2018-03-07T17:13:59Z","cross_cats_sorted":[],"title_canon_sha256":"d3e029c57c24be2f685bf3d5dd69d036ee20be147bb78332fcd13b19bb290ddc","abstract_canon_sha256":"e4b5f98546a6024e850eb2a933a70f4b800aa833cc30e2b5e2ad97446405df9f"},"schema_version":"1.0"},"canonical_sha256":"f4076d4f79927e4b893c28f79f2aa06efcaa2fc6aa6262d0383d12934eec5bc9","source":{"kind":"arxiv","id":"1803.02828","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02828","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02828v1","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02828","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"pith_short_12","alias_value":"6QDW2T3ZSJ7E","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6QDW2T3ZSJ7EXCJ4","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6QDW2T3Z","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3","target":"record","payload":{"canonical_record":{"source":{"id":"1803.02828","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2018-03-07T17:13:59Z","cross_cats_sorted":[],"title_canon_sha256":"d3e029c57c24be2f685bf3d5dd69d036ee20be147bb78332fcd13b19bb290ddc","abstract_canon_sha256":"e4b5f98546a6024e850eb2a933a70f4b800aa833cc30e2b5e2ad97446405df9f"},"schema_version":"1.0"},"canonical_sha256":"f4076d4f79927e4b893c28f79f2aa06efcaa2fc6aa6262d0383d12934eec5bc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:45.353880Z","signature_b64":"txfP8KsqRVqWIG1Zc2Ci+y/ygtxi69lgkc3sp3PQNmyFfyFz9A+zojDb5TE2Sv4cqQhYdEuy4lBakWdjbP0QDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4076d4f79927e4b893c28f79f2aa06efcaa2fc6aa6262d0383d12934eec5bc9","last_reissued_at":"2026-05-18T00:21:45.353326Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:45.353326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.02828","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":"2026-05-18T00:21:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sX6D3OZz+gicl7BD3iMnIztKBnOexyv+SES/R6aQGxyxiB4/CaiBqr8ZnK6Mp9Fc3PeYz56384Mr2yCt9ttVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:00:05.678965Z"},"content_sha256":"478e38716769580e50b0c2dd69b91a8af4dfab0797d124b9acc8cd20464ce235","schema_version":"1.0","event_id":"sha256:478e38716769580e50b0c2dd69b91a8af4dfab0797d124b9acc8cd20464ce235"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital Period Ratios and Fibonacci Numbers in Solar Planetary and Satellite Systems and in Exoplanetary Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.pop-ph","authors_text":"Vladimir Pletser","submitted_at":"2018-03-07T17:13:59Z","abstract_excerpt":"It is shown that orbital period ratios of successive secondaries in the Solar planetary and giant satellite systems and in exoplanetary systems are preferentially closer to irreducible fractions formed with Fibonacci numbers between 1 and 8 than to other fractions, in a ratio of approximately 60% to 40%. Furthermore, if sets of minor planets are chosen with gradually smaller inclinations and eccentricities, the proximity to Fibonacci fractions of their period ratios with Jupiter or Mars$'$ period tends to increase. Finally, a simple model explains why the resonances with ratios of orbital peri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02828","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":"2026-05-18T00:21:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPe+qRbJrNxJhbk3oRNPROCsZm2E3DNdbY4EcVbma4of2D6paN1zuNc1A2ybWw0fg8byabmGNrkbjTDIJWgPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:00:05.679348Z"},"content_sha256":"06860cdef8b035931e16237d60f4b2ae9bc700d47b6be0e4847d63a101fc3f02","schema_version":"1.0","event_id":"sha256:06860cdef8b035931e16237d60f4b2ae9bc700d47b6be0e4847d63a101fc3f02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/bundle.json","state_url":"https://pith.science/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/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":"2026-05-31T01:00:05Z","links":{"resolver":"https://pith.science/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3","bundle":"https://pith.science/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/bundle.json","state":"https://pith.science/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6QDW2T3ZSJ7EXCJ4FD3Z6KVAN3","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":"e4b5f98546a6024e850eb2a933a70f4b800aa833cc30e2b5e2ad97446405df9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2018-03-07T17:13:59Z","title_canon_sha256":"d3e029c57c24be2f685bf3d5dd69d036ee20be147bb78332fcd13b19bb290ddc"},"schema_version":"1.0","source":{"id":"1803.02828","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02828","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02828v1","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02828","created_at":"2026-05-18T00:21:45Z"},{"alias_kind":"pith_short_12","alias_value":"6QDW2T3ZSJ7E","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6QDW2T3ZSJ7EXCJ4","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6QDW2T3Z","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:06860cdef8b035931e16237d60f4b2ae9bc700d47b6be0e4847d63a101fc3f02","target":"graph","created_at":"2026-05-18T00:21:45Z","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 shown that orbital period ratios of successive secondaries in the Solar planetary and giant satellite systems and in exoplanetary systems are preferentially closer to irreducible fractions formed with Fibonacci numbers between 1 and 8 than to other fractions, in a ratio of approximately 60% to 40%. Furthermore, if sets of minor planets are chosen with gradually smaller inclinations and eccentricities, the proximity to Fibonacci fractions of their period ratios with Jupiter or Mars$'$ period tends to increase. Finally, a simple model explains why the resonances with ratios of orbital peri","authors_text":"Vladimir Pletser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2018-03-07T17:13:59Z","title":"Orbital Period Ratios and Fibonacci Numbers in Solar Planetary and Satellite Systems and in Exoplanetary Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02828","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":"sha256:478e38716769580e50b0c2dd69b91a8af4dfab0797d124b9acc8cd20464ce235","target":"record","created_at":"2026-05-18T00:21:45Z","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":"e4b5f98546a6024e850eb2a933a70f4b800aa833cc30e2b5e2ad97446405df9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2018-03-07T17:13:59Z","title_canon_sha256":"d3e029c57c24be2f685bf3d5dd69d036ee20be147bb78332fcd13b19bb290ddc"},"schema_version":"1.0","source":{"id":"1803.02828","kind":"arxiv","version":1}},"canonical_sha256":"f4076d4f79927e4b893c28f79f2aa06efcaa2fc6aa6262d0383d12934eec5bc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4076d4f79927e4b893c28f79f2aa06efcaa2fc6aa6262d0383d12934eec5bc9","first_computed_at":"2026-05-18T00:21:45.353326Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:45.353326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"txfP8KsqRVqWIG1Zc2Ci+y/ygtxi69lgkc3sp3PQNmyFfyFz9A+zojDb5TE2Sv4cqQhYdEuy4lBakWdjbP0QDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:45.353880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02828","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478e38716769580e50b0c2dd69b91a8af4dfab0797d124b9acc8cd20464ce235","sha256:06860cdef8b035931e16237d60f4b2ae9bc700d47b6be0e4847d63a101fc3f02"],"state_sha256":"1b8b77da87517fd8e6283faa6ccca4609041276cb02869ec451dce68cd7cfbd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MBTOHSbz2lXNFIOY62+Eo2i9geafglTYwCDkHI74kgYrnW1b5j2WdB0eEeu+Lagc7GsrQUOj0UOUBQ4Liw6kBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:00:05.682830Z","bundle_sha256":"1c2bc183db044f2568172d56ef75ecbfc48ee6f6a60cf4459b88547422717986"}}