{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ACIO7EWNXVO5IVAHBMHYSA6PDQ","short_pith_number":"pith:ACIO7EWN","schema_version":"1.0","canonical_sha256":"0090ef92cdbd5dd454070b0f8903cf1c38cce95520679d60cf16bcefaffb1268","source":{"kind":"arxiv","id":"1501.02227","version":2},"attestation_state":"computed","paper":{"title":"Extended distribution functions for our Galaxy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"James Binney, Jason L. Sanders","submitted_at":"2015-01-09T18:50:11Z","abstract_excerpt":"We extend models of our Galaxy based on distribution functions (DFs) that are analytic functions of the action integrals to extended distribution functions (EDFs), which have an analytic dependence on metallicity as well. We use a simple, but physically-motivated, functional forms for the metallicity of the interstellar medium as a function of radius and time and for the star-formation rate, and a model for the diffusion of stars through phase space to suggest the required functional form of an EDF. We introduce a simple prescription for radial migration that preserves the overall profile of t"},"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":"1501.02227","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-01-09T18:50:11Z","cross_cats_sorted":[],"title_canon_sha256":"645190701a193b3528ecdf19578ac19090d7861dc2986c54954a2a9007905851","abstract_canon_sha256":"8eb2c9fdf4efcdd27be4ffbaa0cf2b03ffe427ea3c97c0c3a5735d2b21939641"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:53.365184Z","signature_b64":"tcjWt2C9PzvnbrLhoMDJllqCUQ+OTZ52JkXAbKuw8Mm+5ylOhZy0bOe39gsYUZ/xbzRGDCTyOBYfZhXKf7FuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0090ef92cdbd5dd454070b0f8903cf1c38cce95520679d60cf16bcefaffb1268","last_reissued_at":"2026-05-18T01:59:53.364488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:53.364488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extended distribution functions for our Galaxy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"James Binney, Jason L. Sanders","submitted_at":"2015-01-09T18:50:11Z","abstract_excerpt":"We extend models of our Galaxy based on distribution functions (DFs) that are analytic functions of the action integrals to extended distribution functions (EDFs), which have an analytic dependence on metallicity as well. We use a simple, but physically-motivated, functional forms for the metallicity of the interstellar medium as a function of radius and time and for the star-formation rate, and a model for the diffusion of stars through phase space to suggest the required functional form of an EDF. We introduce a simple prescription for radial migration that preserves the overall profile of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02227","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.02227","created_at":"2026-05-18T01:59:53.364609+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.02227v2","created_at":"2026-05-18T01:59:53.364609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02227","created_at":"2026-05-18T01:59:53.364609+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACIO7EWNXVO5","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACIO7EWNXVO5IVAH","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACIO7EWN","created_at":"2026-05-18T12:29:10.953037+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/ACIO7EWNXVO5IVAHBMHYSA6PDQ","json":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ.json","graph_json":"https://pith.science/api/pith-number/ACIO7EWNXVO5IVAHBMHYSA6PDQ/graph.json","events_json":"https://pith.science/api/pith-number/ACIO7EWNXVO5IVAHBMHYSA6PDQ/events.json","paper":"https://pith.science/paper/ACIO7EWN"},"agent_actions":{"view_html":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ","download_json":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ.json","view_paper":"https://pith.science/paper/ACIO7EWN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.02227&json=true","fetch_graph":"https://pith.science/api/pith-number/ACIO7EWNXVO5IVAHBMHYSA6PDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/ACIO7EWNXVO5IVAHBMHYSA6PDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ/action/storage_attestation","attest_author":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ/action/author_attestation","sign_citation":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ/action/citation_signature","submit_replication":"https://pith.science/pith/ACIO7EWNXVO5IVAHBMHYSA6PDQ/action/replication_record"}},"created_at":"2026-05-18T01:59:53.364609+00:00","updated_at":"2026-05-18T01:59:53.364609+00:00"}