{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YKK2DPFILNGF5WYVPNQSJWQZXY","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":"7ff2417cd9062611edc1aa1c8fbe71e1eb3c6e10435f89f93d40ece4c9ae5e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-13T20:13:46Z","title_canon_sha256":"abf866a2143526315bb3ac6e8eee3c2e1193141495f918c886baba972b985b86"},"schema_version":"1.0","source":{"id":"0903.2486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2486","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2486v1","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2486","created_at":"2026-05-18T02:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"YKK2DPFILNGF","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YKK2DPFILNGF5WYV","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YKK2DPFI","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1332ac0f72c9cbf4a879e8bab1980d6bd4b1aab9ed916f3f16d49e38140ae75e","target":"graph","created_at":"2026-05-18T02:14:28Z","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":"Observations and theoretical calculations have shown the importance of non-spherically symmetric structures in supernovae. Thus, the interpretation of observed supernova spectra requires the ability to solve the transfer equation in 3-D moving atmospheres. We present an implementation of the solution of the radiative transfer equation in 3-D homologously expanding atmospheres in spherical coordinates. The implementation is exact to all orders in v/c. We use a new affine method that makes use of the fact that photons travel on straight lines. We compare our results in 3-D for spherically symmet","authors_text":"Bin Chen, E. Baron, Peter H. Hauschildt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-13T20:13:46Z","title":"A 3D radiative transfer framework: V. Homologous Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2486","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:d59ec9da29255ee471ec01df113a81f54fa39be498ac015e8ba1c5f23ccbd634","target":"record","created_at":"2026-05-18T02:14:28Z","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":"7ff2417cd9062611edc1aa1c8fbe71e1eb3c6e10435f89f93d40ece4c9ae5e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-13T20:13:46Z","title_canon_sha256":"abf866a2143526315bb3ac6e8eee3c2e1193141495f918c886baba972b985b86"},"schema_version":"1.0","source":{"id":"0903.2486","kind":"arxiv","version":1}},"canonical_sha256":"c295a1bca85b4c5edb157b6124da19be14aa94cb9a50c90065b19e315112e326","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c295a1bca85b4c5edb157b6124da19be14aa94cb9a50c90065b19e315112e326","first_computed_at":"2026-05-18T02:14:28.314680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:28.314680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mK1IzvrZxjO7FuJRZtdGJs2wp7DQ885KZgf3qyZV5pcDK4waFlGwsVBqm/Bz1lvCiR5GFuQsfudFt9U2Lu9rAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:28.315207Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d59ec9da29255ee471ec01df113a81f54fa39be498ac015e8ba1c5f23ccbd634","sha256:1332ac0f72c9cbf4a879e8bab1980d6bd4b1aab9ed916f3f16d49e38140ae75e"],"state_sha256":"ef743dbe3d9fe0c00b00f30626cc9f40c89ad1ed975da6d5a29ec9dab1dbbe13"}