{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RKPKCXESS3CT23ECXOVHRI2IIK","short_pith_number":"pith:RKPKCXES","canonical_record":{"source":{"id":"1804.05099","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-13T19:53:41Z","cross_cats_sorted":["nlin.CD","physics.flu-dyn"],"title_canon_sha256":"3404a0fc049c2e126ccc7f5d34711c2889f068a8b77616cf9612b6793907ff6d","abstract_canon_sha256":"febe80f28c5f8739c31d3568e80bb969b02ac6534451d518ca2b3869380bccbd"},"schema_version":"1.0"},"canonical_sha256":"8a9ea15c9296c53d6c82bbaa78a34842b895f06107683f0d03fba23e8a8cfef1","source":{"kind":"arxiv","id":"1804.05099","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05099","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05099v2","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05099","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"RKPKCXESS3CT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RKPKCXESS3CT23EC","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RKPKCXES","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RKPKCXESS3CT23ECXOVHRI2IIK","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05099","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-13T19:53:41Z","cross_cats_sorted":["nlin.CD","physics.flu-dyn"],"title_canon_sha256":"3404a0fc049c2e126ccc7f5d34711c2889f068a8b77616cf9612b6793907ff6d","abstract_canon_sha256":"febe80f28c5f8739c31d3568e80bb969b02ac6534451d518ca2b3869380bccbd"},"schema_version":"1.0"},"canonical_sha256":"8a9ea15c9296c53d6c82bbaa78a34842b895f06107683f0d03fba23e8a8cfef1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:36.287798Z","signature_b64":"Ic/s4HRh1UdkTebsbFmAUrHoIaH8icgED8JwhkZPwKU8alBHfFkchyEidL8Lbzwh8bQ16wtXmH/Gw/0KmDynAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a9ea15c9296c53d6c82bbaa78a34842b895f06107683f0d03fba23e8a8cfef1","last_reissued_at":"2026-05-17T23:47:36.287354Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:36.287354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05099","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dNMkbxQ4vWnCpOa9qNXKiHj9wWgYeyPJBYE2KgLrOjW7QRPyB/Tmb3eiuUF+t7dWC7t0HGSENXuVXab49KVLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:29:04.090701Z"},"content_sha256":"5dc7065783a4cb728fd6db5d68d9d24e1edc0fa84c98a36f439e88e3f2c0e46d","schema_version":"1.0","event_id":"sha256:5dc7065783a4cb728fd6db5d68d9d24e1edc0fa84c98a36f439e88e3f2c0e46d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RKPKCXESS3CT23ECXOVHRI2IIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global phase space structures in a model of passive descent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.flu-dyn"],"primary_cat":"math.DS","authors_text":"Gary K. Nave Jr., Shane D. Ross","submitted_at":"2018-04-13T19:53:41Z","abstract_excerpt":"Even the most simplified models of falling and gliding bodies exhibit rich nonlinear dynamical behavior. Taking a global view of the dynamics of one such model, we find an attracting invariant manifold that acts as the dominant organizing feature of trajectories in velocity space. This attracting manifold captures the final, slowly changing phase of every passive descent, providing a higher-dimensional analogue to the concept of terminal velocity, the terminal velocity manifold. Within the terminal velocity manifold in extended phase space, there is an equilibrium submanifold with equilibria o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05099","kind":"arxiv","version":2},"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":"2026-05-17T23:47:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KNWKQVA4nLJ4b0i/BVaA77rfrM1MOQPUEkOXh6ma5xnD7l2rt6xe2IP/murVi3svSM9YJcUm/WxYjYu4PVh6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:29:04.091171Z"},"content_sha256":"85cac2b661bf637d6085c99080a1f226dfd5ac9362003e1f9e405f0f0782f06a","schema_version":"1.0","event_id":"sha256:85cac2b661bf637d6085c99080a1f226dfd5ac9362003e1f9e405f0f0782f06a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKPKCXESS3CT23ECXOVHRI2IIK/bundle.json","state_url":"https://pith.science/pith/RKPKCXESS3CT23ECXOVHRI2IIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKPKCXESS3CT23ECXOVHRI2IIK/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":"2026-06-25T21:29:04Z","links":{"resolver":"https://pith.science/pith/RKPKCXESS3CT23ECXOVHRI2IIK","bundle":"https://pith.science/pith/RKPKCXESS3CT23ECXOVHRI2IIK/bundle.json","state":"https://pith.science/pith/RKPKCXESS3CT23ECXOVHRI2IIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKPKCXESS3CT23ECXOVHRI2IIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RKPKCXESS3CT23ECXOVHRI2IIK","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":"febe80f28c5f8739c31d3568e80bb969b02ac6534451d518ca2b3869380bccbd","cross_cats_sorted":["nlin.CD","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-13T19:53:41Z","title_canon_sha256":"3404a0fc049c2e126ccc7f5d34711c2889f068a8b77616cf9612b6793907ff6d"},"schema_version":"1.0","source":{"id":"1804.05099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05099","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05099v2","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05099","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"RKPKCXESS3CT","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RKPKCXESS3CT23EC","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RKPKCXES","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:85cac2b661bf637d6085c99080a1f226dfd5ac9362003e1f9e405f0f0782f06a","target":"graph","created_at":"2026-05-17T23:47:36Z","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":"Even the most simplified models of falling and gliding bodies exhibit rich nonlinear dynamical behavior. Taking a global view of the dynamics of one such model, we find an attracting invariant manifold that acts as the dominant organizing feature of trajectories in velocity space. This attracting manifold captures the final, slowly changing phase of every passive descent, providing a higher-dimensional analogue to the concept of terminal velocity, the terminal velocity manifold. Within the terminal velocity manifold in extended phase space, there is an equilibrium submanifold with equilibria o","authors_text":"Gary K. Nave Jr., Shane D. Ross","cross_cats":["nlin.CD","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-13T19:53:41Z","title":"Global phase space structures in a model of passive descent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05099","kind":"arxiv","version":2},"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":"sha256:5dc7065783a4cb728fd6db5d68d9d24e1edc0fa84c98a36f439e88e3f2c0e46d","target":"record","created_at":"2026-05-17T23:47:36Z","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":"febe80f28c5f8739c31d3568e80bb969b02ac6534451d518ca2b3869380bccbd","cross_cats_sorted":["nlin.CD","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-13T19:53:41Z","title_canon_sha256":"3404a0fc049c2e126ccc7f5d34711c2889f068a8b77616cf9612b6793907ff6d"},"schema_version":"1.0","source":{"id":"1804.05099","kind":"arxiv","version":2}},"canonical_sha256":"8a9ea15c9296c53d6c82bbaa78a34842b895f06107683f0d03fba23e8a8cfef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a9ea15c9296c53d6c82bbaa78a34842b895f06107683f0d03fba23e8a8cfef1","first_computed_at":"2026-05-17T23:47:36.287354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:36.287354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ic/s4HRh1UdkTebsbFmAUrHoIaH8icgED8JwhkZPwKU8alBHfFkchyEidL8Lbzwh8bQ16wtXmH/Gw/0KmDynAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:36.287798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dc7065783a4cb728fd6db5d68d9d24e1edc0fa84c98a36f439e88e3f2c0e46d","sha256:85cac2b661bf637d6085c99080a1f226dfd5ac9362003e1f9e405f0f0782f06a"],"state_sha256":"41587cb9431e4e0b9675fa492091fb407a36520abdeee71ba67a4840ce03946d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6WA4cOi5BzHvNcb4eR9Hjs5SjxnWiy9V3todWCXOP76HKld0InoRC8xqLx6RXB9I9M58v0irt/3MiYaTpMRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:29:04.093772Z","bundle_sha256":"bea1494c05e88e7a31c3b410cb23e65d746ffdc53393eeda4697e46d933b32e5"}}