{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DQUBA7V5E5A2OB7TXK37Z6J3RQ","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":"7f6f67b339f41813e6616a5fea71b2f625524d8185e09d4786e8d7cf3f09ea31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-02-13T21:04:42Z","title_canon_sha256":"be2b24275502ec19c00b30f2147fbe14dff4c52a343b8c6ee1f4331735229e00"},"schema_version":"1.0","source":{"id":"1402.4439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4439","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4439v1","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4439","created_at":"2026-05-18T02:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"DQUBA7V5E5A2","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DQUBA7V5E5A2OB7T","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DQUBA7V5","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:b0bbf3077c15324850716e36686b441ecb4f5d56b402794b84ca2af1037174e9","target":"graph","created_at":"2026-05-18T02:58:43Z","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"},"paper":{"abstract_excerpt":"I discuss the problem of secular inequalities in Kepler by giving account of a manuscript note that has not been published until 1860. In his note Kepler points out the need for a model, clearly inspired by the method of epicycles, that describes the secular inequalities as periodic ones. I bring attention to this point, that seems to have been underestimated, since the references to Kepler's work usually report only that he observed a decreasing mean motion for Saturn and an increasing one for Jupiter.","authors_text":"Antonio Giorgilli","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-02-13T21:04:42Z","title":"A Kepler's note on secular inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4439","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:da88d79b3a03866ddbe554165559c6477a7ff81211d50c25827c939faaba97c4","target":"record","created_at":"2026-05-18T02:58:43Z","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":"7f6f67b339f41813e6616a5fea71b2f625524d8185e09d4786e8d7cf3f09ea31","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-02-13T21:04:42Z","title_canon_sha256":"be2b24275502ec19c00b30f2147fbe14dff4c52a343b8c6ee1f4331735229e00"},"schema_version":"1.0","source":{"id":"1402.4439","kind":"arxiv","version":1}},"canonical_sha256":"1c28107ebd2741a707f3bab7fcf93b8c276e5e8fdd28b19e3935ea8d0c3a790e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c28107ebd2741a707f3bab7fcf93b8c276e5e8fdd28b19e3935ea8d0c3a790e","first_computed_at":"2026-05-18T02:58:43.901156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:43.901156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6/p6AQrAj27j1sSLRP7Wx59MYc91+Zp/zpvnmhXfK+etlGfea1XYowdQ2iXLeqXpB2gWI3pJbqSKmwKpaVFPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:43.902005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da88d79b3a03866ddbe554165559c6477a7ff81211d50c25827c939faaba97c4","sha256:b0bbf3077c15324850716e36686b441ecb4f5d56b402794b84ca2af1037174e9"],"state_sha256":"b6cd6198a17207a7f72465bd54bbc632d405fb8fe3ff2d1f39303dccac76c7f0"}