{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4CTVVKAFMGUS2VJ5G72UL52GJZ","short_pith_number":"pith:4CTVVKAF","canonical_record":{"source":{"id":"1801.07106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-01-18T15:41:29Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"890d386b01c2f4154acfd63aaa220d7645cd3f1d8004b5862fd67429bb9a4f9a","abstract_canon_sha256":"ebe82c5b07056301ef892fcc6345d1b6a6b8b29c113bd17328768a14d2fa0c0a"},"schema_version":"1.0"},"canonical_sha256":"e0a75aa80561a92d553d37f545f7464e7b0f472f8531e2aeca34e9cca0270cee","source":{"kind":"arxiv","id":"1801.07106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07106","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07106v1","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07106","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"4CTVVKAFMGUS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4CTVVKAFMGUS2VJ5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4CTVVKAF","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4CTVVKAFMGUS2VJ5G72UL52GJZ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.07106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-01-18T15:41:29Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"890d386b01c2f4154acfd63aaa220d7645cd3f1d8004b5862fd67429bb9a4f9a","abstract_canon_sha256":"ebe82c5b07056301ef892fcc6345d1b6a6b8b29c113bd17328768a14d2fa0c0a"},"schema_version":"1.0"},"canonical_sha256":"e0a75aa80561a92d553d37f545f7464e7b0f472f8531e2aeca34e9cca0270cee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:59.572921Z","signature_b64":"WV2Z0UhC61v+cy5COESqvFyLViRnwQyFp9ThwktPsnf34v+OBwQjLp0rDcXEld5GBz2e41UNcI2yup1SuXTjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0a75aa80561a92d553d37f545f7464e7b0f472f8531e2aeca34e9cca0270cee","last_reissued_at":"2026-05-17T23:55:59.572143Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:59.572143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.07106","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":"2026-05-17T23:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SaPHwDfoxrbP94OxKiwqzcucK95+0pctbkkqKLIgiaR4NlTNTYlSutgzvBt6rmmxK4I6BeqoElMH7KssgFCxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:05:05.690509Z"},"content_sha256":"e65265aa67a1d7945538e7b64ca56dec485b28733caddbb7752d26c3d569ca1d","schema_version":"1.0","event_id":"sha256:e65265aa67a1d7945538e7b64ca56dec485b28733caddbb7752d26c3d569ca1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4CTVVKAFMGUS2VJ5G72UL52GJZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital stability in static axisymmetric fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"astro-ph.SR","authors_text":"Gopakumar Mohandas, Martin E. Pessah, Tobias Heinemann","submitted_at":"2018-01-18T15:41:29Z","abstract_excerpt":"We investigate the stability of test-particle equilibrium orbits in axisymmetric, but otherwise arbitrary, gravitational and electromagnetic fields. We extend previous studies of this problem to include a toroidal magnetic field. We find that, even though the toroidal magnetic field does not alter the location of the circular orbits, it enters the problem as a gyroscopic force with the potential to provide gyroscopic stability. This is in essence similar to the situation encountered in the reduced three-body problem where rotation enables stability around the local maxima of the effective pote"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07106","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":"2026-05-17T23:55:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWctgexFuad1cRKNWLC+vszKtBnO4GeNkxpXDpC9AtpK9xu83BScHtjOY88sZjvSeGvQwCJL1gxe2fdvkxr4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:05:05.690860Z"},"content_sha256":"82caaa865b12af058054e5deb12d58fa10a06b6d38af204e554773603d953ac1","schema_version":"1.0","event_id":"sha256:82caaa865b12af058054e5deb12d58fa10a06b6d38af204e554773603d953ac1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/bundle.json","state_url":"https://pith.science/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/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":"2026-05-21T19:05:05Z","links":{"resolver":"https://pith.science/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ","bundle":"https://pith.science/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/bundle.json","state":"https://pith.science/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CTVVKAFMGUS2VJ5G72UL52GJZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4CTVVKAFMGUS2VJ5G72UL52GJZ","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":"ebe82c5b07056301ef892fcc6345d1b6a6b8b29c113bd17328768a14d2fa0c0a","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-01-18T15:41:29Z","title_canon_sha256":"890d386b01c2f4154acfd63aaa220d7645cd3f1d8004b5862fd67429bb9a4f9a"},"schema_version":"1.0","source":{"id":"1801.07106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07106","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07106v1","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07106","created_at":"2026-05-17T23:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"4CTVVKAFMGUS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4CTVVKAFMGUS2VJ5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4CTVVKAF","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:82caaa865b12af058054e5deb12d58fa10a06b6d38af204e554773603d953ac1","target":"graph","created_at":"2026-05-17T23:55:59Z","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 stability of test-particle equilibrium orbits in axisymmetric, but otherwise arbitrary, gravitational and electromagnetic fields. We extend previous studies of this problem to include a toroidal magnetic field. We find that, even though the toroidal magnetic field does not alter the location of the circular orbits, it enters the problem as a gyroscopic force with the potential to provide gyroscopic stability. This is in essence similar to the situation encountered in the reduced three-body problem where rotation enables stability around the local maxima of the effective pote","authors_text":"Gopakumar Mohandas, Martin E. Pessah, Tobias Heinemann","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-01-18T15:41:29Z","title":"Orbital stability in static axisymmetric fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07106","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:e65265aa67a1d7945538e7b64ca56dec485b28733caddbb7752d26c3d569ca1d","target":"record","created_at":"2026-05-17T23:55:59Z","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":"ebe82c5b07056301ef892fcc6345d1b6a6b8b29c113bd17328768a14d2fa0c0a","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-01-18T15:41:29Z","title_canon_sha256":"890d386b01c2f4154acfd63aaa220d7645cd3f1d8004b5862fd67429bb9a4f9a"},"schema_version":"1.0","source":{"id":"1801.07106","kind":"arxiv","version":1}},"canonical_sha256":"e0a75aa80561a92d553d37f545f7464e7b0f472f8531e2aeca34e9cca0270cee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0a75aa80561a92d553d37f545f7464e7b0f472f8531e2aeca34e9cca0270cee","first_computed_at":"2026-05-17T23:55:59.572143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:59.572143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WV2Z0UhC61v+cy5COESqvFyLViRnwQyFp9ThwktPsnf34v+OBwQjLp0rDcXEld5GBz2e41UNcI2yup1SuXTjAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:59.572921Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e65265aa67a1d7945538e7b64ca56dec485b28733caddbb7752d26c3d569ca1d","sha256:82caaa865b12af058054e5deb12d58fa10a06b6d38af204e554773603d953ac1"],"state_sha256":"39cf6aaf9bf29d7f005253f2b4f8fb90b8019b9965750730e5f5c979c0eda991"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3zfqoNJWGD1Jdc/heqXCazXj9Ze6wbqhHK4mbJ6t5whXRBHkHiWJG3nzyzFAIXNzmFUoEZVGE7ZPC3gCjE+AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T19:05:05.693050Z","bundle_sha256":"f421a39ba052479eb50f7f9eb8f3f7a7ab961f3717a37a6c1f205520a28590df"}}