{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:HUQJSPQBWYI4KSV3MUZRRBEG4R","short_pith_number":"pith:HUQJSPQB","canonical_record":{"source":{"id":"2104.13657","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-04-28T09:28:52Z","cross_cats_sorted":[],"title_canon_sha256":"4245b967c169d6e942e1e2c078465b38ff66d252d03bd1da723bb86b3e85b684","abstract_canon_sha256":"42e52b3ffdc178eafc129ab60e429fe77b5dfc153635d118a01558e48ddd8b96"},"schema_version":"1.0"},"canonical_sha256":"3d20993e01b611c54abb6533188486e469f6eda76fdda9bc4a614a1b96970f1e","source":{"kind":"arxiv","id":"2104.13657","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13657","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13657v1","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13657","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_12","alias_value":"HUQJSPQBWYI4","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_16","alias_value":"HUQJSPQBWYI4KSV3","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_8","alias_value":"HUQJSPQB","created_at":"2026-07-05T02:39:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:HUQJSPQBWYI4KSV3MUZRRBEG4R","target":"record","payload":{"canonical_record":{"source":{"id":"2104.13657","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-04-28T09:28:52Z","cross_cats_sorted":[],"title_canon_sha256":"4245b967c169d6e942e1e2c078465b38ff66d252d03bd1da723bb86b3e85b684","abstract_canon_sha256":"42e52b3ffdc178eafc129ab60e429fe77b5dfc153635d118a01558e48ddd8b96"},"schema_version":"1.0"},"canonical_sha256":"3d20993e01b611c54abb6533188486e469f6eda76fdda9bc4a614a1b96970f1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:20.101677Z","signature_b64":"BEqHkNVi/E7yEJk2OUkYrONbn77pSbk0CgfuQHvDQ4+Hy+GwfpcJL0963CV9S4CJecMrWJLoxk3XI2eN1UZDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d20993e01b611c54abb6533188486e469f6eda76fdda9bc4a614a1b96970f1e","last_reissued_at":"2026-07-05T02:39:20.101224Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:20.101224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.13657","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":"2026-07-05T02:39:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oUY6BMpmg2NQl2hUJRV/pC/oa0N0yENiEDHqAvTzrW/99H2kZBXykUvZoJ2IxfAlG2B5YNuHYEYRAAsGWNu3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T04:14:31.222556Z"},"content_sha256":"5cb4e397df1f05a48299ca066859e1a00945731949415ad0bf3df1b0c9df11a2","schema_version":"1.0","event_id":"sha256:5cb4e397df1f05a48299ca066859e1a00945731949415ad0bf3df1b0c9df11a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:HUQJSPQBWYI4KSV3MUZRRBEG4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital stability of compact three-planet systems, I: Dependence of system lifetimes on initial orbital separations and longitudes","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Jack J. Lissauer, Sacha Gavino","submitted_at":"2021-04-28T09:28:52Z","abstract_excerpt":"We explore the orbital dynamics of systems consisting of three planets, each as massive as the Earth, on coplanar, initially circular, orbits about a star of one solar mass. The initial semimajor axes of the planets are equally spaced in terms of their mutual Hill radius, which is equivalent to a geometric progression of orbital periods for small planets of equal mass. Our simulations explore a wide range of spacings of the planets, and were integrated for virtual times of up to 10 billion years or until the orbits of any pair of planets crossed. We find the same general trend of system lifeti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13657","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.13657/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:39:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vU68FvQiphoQE2ks+D99ZJT2inGTELGwgx1qjhqLZ3Nb7j+d88hokhMmZc+edPnV2T1YqcmllHCHxbdEmWyFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T04:14:31.223553Z"},"content_sha256":"cbaf596b555e4a0f25914da97fdc6c0c0f9023cab20ff82a35151b9c1895aecd","schema_version":"1.0","event_id":"sha256:cbaf596b555e4a0f25914da97fdc6c0c0f9023cab20ff82a35151b9c1895aecd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/bundle.json","state_url":"https://pith.science/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/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":"2026-08-05T04:14:31Z","links":{"resolver":"https://pith.science/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R","bundle":"https://pith.science/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/bundle.json","state":"https://pith.science/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUQJSPQBWYI4KSV3MUZRRBEG4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HUQJSPQBWYI4KSV3MUZRRBEG4R","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":"42e52b3ffdc178eafc129ab60e429fe77b5dfc153635d118a01558e48ddd8b96","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-04-28T09:28:52Z","title_canon_sha256":"4245b967c169d6e942e1e2c078465b38ff66d252d03bd1da723bb86b3e85b684"},"schema_version":"1.0","source":{"id":"2104.13657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13657","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13657v1","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13657","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_12","alias_value":"HUQJSPQBWYI4","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_16","alias_value":"HUQJSPQBWYI4KSV3","created_at":"2026-07-05T02:39:20Z"},{"alias_kind":"pith_short_8","alias_value":"HUQJSPQB","created_at":"2026-07-05T02:39:20Z"}],"graph_snapshots":[{"event_id":"sha256:cbaf596b555e4a0f25914da97fdc6c0c0f9023cab20ff82a35151b9c1895aecd","target":"graph","created_at":"2026-07-05T02:39:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2104.13657/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore the orbital dynamics of systems consisting of three planets, each as massive as the Earth, on coplanar, initially circular, orbits about a star of one solar mass. The initial semimajor axes of the planets are equally spaced in terms of their mutual Hill radius, which is equivalent to a geometric progression of orbital periods for small planets of equal mass. Our simulations explore a wide range of spacings of the planets, and were integrated for virtual times of up to 10 billion years or until the orbits of any pair of planets crossed. We find the same general trend of system lifeti","authors_text":"Jack J. Lissauer, Sacha Gavino","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-04-28T09:28:52Z","title":"Orbital stability of compact three-planet systems, I: Dependence of system lifetimes on initial orbital separations and longitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13657","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":"sha256:5cb4e397df1f05a48299ca066859e1a00945731949415ad0bf3df1b0c9df11a2","target":"record","created_at":"2026-07-05T02:39:20Z","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":"42e52b3ffdc178eafc129ab60e429fe77b5dfc153635d118a01558e48ddd8b96","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-04-28T09:28:52Z","title_canon_sha256":"4245b967c169d6e942e1e2c078465b38ff66d252d03bd1da723bb86b3e85b684"},"schema_version":"1.0","source":{"id":"2104.13657","kind":"arxiv","version":1}},"canonical_sha256":"3d20993e01b611c54abb6533188486e469f6eda76fdda9bc4a614a1b96970f1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d20993e01b611c54abb6533188486e469f6eda76fdda9bc4a614a1b96970f1e","first_computed_at":"2026-07-05T02:39:20.101224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:39:20.101224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BEqHkNVi/E7yEJk2OUkYrONbn77pSbk0CgfuQHvDQ4+Hy+GwfpcJL0963CV9S4CJecMrWJLoxk3XI2eN1UZDBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:39:20.101677Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.13657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cb4e397df1f05a48299ca066859e1a00945731949415ad0bf3df1b0c9df11a2","sha256:cbaf596b555e4a0f25914da97fdc6c0c0f9023cab20ff82a35151b9c1895aecd"],"state_sha256":"07323a2c4c15bfb4acf0d020a41e069ea64b66f010a4bcc6a14ecfc3c13fb896"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VP5O57sKLmUS809RtZR8Hp/4/93NS0n+r1yHOsn4b9jUD97BYX5+CQjN8v/71kKK+ptMx0+ip7ATZtPiGBcTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T04:14:31.230911Z","bundle_sha256":"a51f0b631a803411e092d89e9d0d9961fb9f2283060ac60191acf3d47433af65"}}