{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:S5NHKJZ66KRLWOO6DLIZKTHOY7","short_pith_number":"pith:S5NHKJZ6","schema_version":"1.0","canonical_sha256":"975a75273ef2a2bb39de1ad1954ceec7f50e138bb8948dde467dc0576bfe5d1d","source":{"kind":"arxiv","id":"1303.0249","version":1},"attestation_state":"computed","paper":{"title":"Galactic Spiral Arms: Structure and Dynamics Given by an Equation of Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Gregory Buck","submitted_at":"2013-03-01T18:50:10Z","abstract_excerpt":"Using an equation of motion for a self-gravitating filament, we show how galactic spiral arms might be created and sustained. We find that the combination of differential rotation of the galactic disk and the self-gravity of the arm (as given by the equation) leads to a rotating spiral structure. Moreover, using this analysis, we then find a second differential equation that explicitly relates this spiral structure to the rotation curve of the galaxy -- it connects several factors, including spiral shape and pattern speed. We also describe a simple many-body numerical experiment that supports "},"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":"1303.0249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-01T18:50:10Z","cross_cats_sorted":[],"title_canon_sha256":"602378fd61d011ac52cdeccf4a11a133eb8f3738b39914b466fef4702da8eae7","abstract_canon_sha256":"61879f01b2a30f117e76bfeb1ddf4627bed125a5bab76848a7d1924394a0b040"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:06.485950Z","signature_b64":"UVhabp6T1rdQ0nH6oYrYi5wljPRXHB2gU01oUpkG61yqzCPlY8dQxtBX1E8qKxQuhIZuIoFW5UneQUZl9AsjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"975a75273ef2a2bb39de1ad1954ceec7f50e138bb8948dde467dc0576bfe5d1d","last_reissued_at":"2026-05-18T03:32:06.485183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:06.485183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Galactic Spiral Arms: Structure and Dynamics Given by an Equation of Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Gregory Buck","submitted_at":"2013-03-01T18:50:10Z","abstract_excerpt":"Using an equation of motion for a self-gravitating filament, we show how galactic spiral arms might be created and sustained. We find that the combination of differential rotation of the galactic disk and the self-gravity of the arm (as given by the equation) leads to a rotating spiral structure. Moreover, using this analysis, we then find a second differential equation that explicitly relates this spiral structure to the rotation curve of the galaxy -- it connects several factors, including spiral shape and pattern speed. We also describe a simple many-body numerical experiment that supports "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0249","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":"1303.0249","created_at":"2026-05-18T03:32:06.485310+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.0249v1","created_at":"2026-05-18T03:32:06.485310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0249","created_at":"2026-05-18T03:32:06.485310+00:00"},{"alias_kind":"pith_short_12","alias_value":"S5NHKJZ66KRL","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"S5NHKJZ66KRLWOO6","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"S5NHKJZ6","created_at":"2026-05-18T12:27:59.945178+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/S5NHKJZ66KRLWOO6DLIZKTHOY7","json":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7.json","graph_json":"https://pith.science/api/pith-number/S5NHKJZ66KRLWOO6DLIZKTHOY7/graph.json","events_json":"https://pith.science/api/pith-number/S5NHKJZ66KRLWOO6DLIZKTHOY7/events.json","paper":"https://pith.science/paper/S5NHKJZ6"},"agent_actions":{"view_html":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7","download_json":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7.json","view_paper":"https://pith.science/paper/S5NHKJZ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.0249&json=true","fetch_graph":"https://pith.science/api/pith-number/S5NHKJZ66KRLWOO6DLIZKTHOY7/graph.json","fetch_events":"https://pith.science/api/pith-number/S5NHKJZ66KRLWOO6DLIZKTHOY7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7/action/storage_attestation","attest_author":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7/action/author_attestation","sign_citation":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7/action/citation_signature","submit_replication":"https://pith.science/pith/S5NHKJZ66KRLWOO6DLIZKTHOY7/action/replication_record"}},"created_at":"2026-05-18T03:32:06.485310+00:00","updated_at":"2026-05-18T03:32:06.485310+00:00"}