{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3BEOAH3PM3AZQWUSLAWVPOTLCT","short_pith_number":"pith:3BEOAH3P","schema_version":"1.0","canonical_sha256":"d848e01f6f66c1985a92582d57ba6b14ef3f16877cd028a516daa65656bca789","source":{"kind":"arxiv","id":"1212.4599","version":1},"attestation_state":"computed","paper":{"title":"Periodic Orbits in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Badam Singh Kushvah, Ram Kishor","submitted_at":"2012-12-19T09:04:27Z","abstract_excerpt":"The orbits about Lagrangian equilibrium points are important for scientific investigations. Since, a number of space missions have been completed and some are being proposed by various space agencies. In light of this, we consider a more realistic model in which a disk, with power-law density profile, is rotating around the common center of mass of the system. Then, we analyze the periodic motion in the neighborhood of Lagrangian equilibrium points for the value of mass parameter $0<\\mu\\leq 1/2$. Periodic orbits of the infinitesimal mass in the vicinity of equilibrium are studied analytically "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.4599","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-12-19T09:04:27Z","cross_cats_sorted":[],"title_canon_sha256":"a9d6cd74574e1a2ee6ac46a874a42ea1ded3007e003683fcbe06e28edaa702f9","abstract_canon_sha256":"6b02ee2302fc74a8d545ce940f9dc66cbecc6edd3c2e892cd39dfbc188edb0d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:30.590515Z","signature_b64":"Hn08No33uwNfS3r5gRGYZtuTTzbdnVyiSk91+TIUZG07Q4snNIKBNFWL0djkqVV3goILca0Fb2yyMJ52ToB1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d848e01f6f66c1985a92582d57ba6b14ef3f16877cd028a516daa65656bca789","last_reissued_at":"2026-05-18T01:52:30.589874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:30.589874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic Orbits in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Badam Singh Kushvah, Ram Kishor","submitted_at":"2012-12-19T09:04:27Z","abstract_excerpt":"The orbits about Lagrangian equilibrium points are important for scientific investigations. Since, a number of space missions have been completed and some are being proposed by various space agencies. In light of this, we consider a more realistic model in which a disk, with power-law density profile, is rotating around the common center of mass of the system. Then, we analyze the periodic motion in the neighborhood of Lagrangian equilibrium points for the value of mass parameter $0<\\mu\\leq 1/2$. Periodic orbits of the infinitesimal mass in the vicinity of equilibrium are studied analytically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4599","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.4599","created_at":"2026-05-18T01:52:30.589964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4599v1","created_at":"2026-05-18T01:52:30.589964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4599","created_at":"2026-05-18T01:52:30.589964+00:00"},{"alias_kind":"pith_short_12","alias_value":"3BEOAH3PM3AZ","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"3BEOAH3PM3AZQWUS","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"3BEOAH3P","created_at":"2026-05-18T12:26:50.516681+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT","json":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT.json","graph_json":"https://pith.science/api/pith-number/3BEOAH3PM3AZQWUSLAWVPOTLCT/graph.json","events_json":"https://pith.science/api/pith-number/3BEOAH3PM3AZQWUSLAWVPOTLCT/events.json","paper":"https://pith.science/paper/3BEOAH3P"},"agent_actions":{"view_html":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT","download_json":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT.json","view_paper":"https://pith.science/paper/3BEOAH3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4599&json=true","fetch_graph":"https://pith.science/api/pith-number/3BEOAH3PM3AZQWUSLAWVPOTLCT/graph.json","fetch_events":"https://pith.science/api/pith-number/3BEOAH3PM3AZQWUSLAWVPOTLCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT/action/storage_attestation","attest_author":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT/action/author_attestation","sign_citation":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT/action/citation_signature","submit_replication":"https://pith.science/pith/3BEOAH3PM3AZQWUSLAWVPOTLCT/action/replication_record"}},"created_at":"2026-05-18T01:52:30.589964+00:00","updated_at":"2026-05-18T01:52:30.589964+00:00"}