{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FGVONXNXDRJG6XFIJEXPK2F7Q2","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":"d90a76883061809c69a0f968358c1121cfe810937093411bde3e85b1d28cfedf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-12-20T14:34:22Z","title_canon_sha256":"e1f6bf7c25ced5556911b6ebcb8062360adb61692da3d05b5e17841c11ddc034"},"schema_version":"1.0","source":{"id":"1312.5961","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5961","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5961v1","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5961","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"pith_short_12","alias_value":"FGVONXNXDRJG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FGVONXNXDRJG6XFI","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FGVONXNX","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:d39b60282c209095db9b5770f211aa213c6f4252cabf079676972d9d1883fa09","target":"graph","created_at":"2026-05-18T01:45:43Z","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":"We investigate the dynamics of two satellites with masses $\\mu_s$ and $\\mu'_s$ orbiting a massive central planet in a common plane, near a first order mean motion resonance $m$+1:$m$ ($m$ integer). We consider only the resonant terms of first order in eccentricity in the disturbing potential of the satellites, plus the secular terms causing the orbital apsidal precessions. We obtain a two-degree of freedom system, associated with the two critical resonant angles $\\phi= (m+1)\\lambda' -m\\lambda - \\varpi$ and $\\phi'= (m+1)\\lambda' -m\\lambda - \\varpi'$, where $\\lambda$ and $\\varpi$ are the mean lo","authors_text":"Bruno Sicardy, Maryame El Moutamid, St\\'efan Renner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-12-20T14:34:22Z","title":"Coupling between corotation and Lindblad resonances in the elliptic planar three-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5961","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:f50ebce360caff1559c85e034b09ded08f33de41f6a3696b1b909ed9997c1a1e","target":"record","created_at":"2026-05-18T01:45:43Z","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":"d90a76883061809c69a0f968358c1121cfe810937093411bde3e85b1d28cfedf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-12-20T14:34:22Z","title_canon_sha256":"e1f6bf7c25ced5556911b6ebcb8062360adb61692da3d05b5e17841c11ddc034"},"schema_version":"1.0","source":{"id":"1312.5961","kind":"arxiv","version":1}},"canonical_sha256":"29aae6ddb71c526f5ca8492ef568bf8688cb8449a53f68aecf53def354372dd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29aae6ddb71c526f5ca8492ef568bf8688cb8449a53f68aecf53def354372dd4","first_computed_at":"2026-05-18T01:45:43.358510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:43.358510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0BfhXCGe9IPgNrr+R4nC+0CNSoGlynlWstjwp3Bex8xt4XJhEtJ+KNpVYMynPemfhg5uW8hSWceX174Cenp5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:43.359032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5961","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f50ebce360caff1559c85e034b09ded08f33de41f6a3696b1b909ed9997c1a1e","sha256:d39b60282c209095db9b5770f211aa213c6f4252cabf079676972d9d1883fa09"],"state_sha256":"7248e8bf643a21a08ad232bba91c3cac96b2f5ad6fcf5fbd480c7030bf248a67"}