{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:YANCJYOQKYXI67FUSV5UVX6YEL","short_pith_number":"pith:YANCJYOQ","canonical_record":{"source":{"id":"0908.4273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-08-28T20:09:16Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"6fd5a63f6cf9b579d6288e1a28aad9754cb71f920c8a35f7f02215672b3cd2e3","abstract_canon_sha256":"68cb9083cf02a878001b003a573a038d73b0f68c2ea8c6ad6f02b36c435e0157"},"schema_version":"1.0"},"canonical_sha256":"c01a24e1d0562e8f7cb4957b4adfd822fa0de43ba6a858f0538144b42b50c613","source":{"kind":"arxiv","id":"0908.4273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4273","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4273v1","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4273","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"YANCJYOQKYXI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YANCJYOQKYXI67FU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YANCJYOQ","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:YANCJYOQKYXI67FUSV5UVX6YEL","target":"record","payload":{"canonical_record":{"source":{"id":"0908.4273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-08-28T20:09:16Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"6fd5a63f6cf9b579d6288e1a28aad9754cb71f920c8a35f7f02215672b3cd2e3","abstract_canon_sha256":"68cb9083cf02a878001b003a573a038d73b0f68c2ea8c6ad6f02b36c435e0157"},"schema_version":"1.0"},"canonical_sha256":"c01a24e1d0562e8f7cb4957b4adfd822fa0de43ba6a858f0538144b42b50c613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:37.197405Z","signature_b64":"ItGry0q5xiXQyIOsPup5PqGvR36qjG+goaTEYQx4eAfIyAV3xmZAM+rj6EEjp7pu9YEqx9oaq4lVyJetPJPYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c01a24e1d0562e8f7cb4957b4adfd822fa0de43ba6a858f0538144b42b50c613","last_reissued_at":"2026-05-18T02:34:37.196914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:37.196914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.4273","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":"2026-05-18T02:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OlDznpdYMbC3yeC7v/j+L4nhESRl9WX4NphNsYed9PzPTfud45F1rqNcTrPJpsZHg5KZ/jsMIW4Ceo8YRSLLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:05:13.445779Z"},"content_sha256":"d5d7aac1f75dcc7799bd222863eef0a3e8a7dadc1166448393c7bfd180bc8f04","schema_version":"1.0","event_id":"sha256:d5d7aac1f75dcc7799bd222863eef0a3e8a7dadc1166448393c7bfd180bc8f04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:YANCJYOQKYXI67FUSV5UVX6YEL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3D Radiative Transfer with PHOENIX","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.SR","authors_text":"Bin Chen, E. Baron, P. H. Hauschildt","submitted_at":"2009-08-28T20:09:16Z","abstract_excerpt":"Using the methods of general relativity Lindquist derived the radiative transfer equation that is correct to all orders in v/c. Mihalas developed a method of solution for the important case of monotonic velocity fields with spherically symmetry. We have developed the generalized atmosphere code PHOENIX, which in 1-D has used the framework of Mihalas to solve the radiative transfer equation (RTE) in 1-D moving flows. We describe our recent work including 3-D radiation transfer in PHOENIX and particularly including moving flows exactly using a novel affine method. We briefly discuss quantitative"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4273","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":"2026-05-18T02:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+QBlQscQFaTufNwS2VtrJI+1YCZZW33DUl8AuWk/pZqkYC2SrYLlrjI24bHXAscJHFowky3SXDyWQcfK+apLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:05:13.446521Z"},"content_sha256":"4fe3a30f971e1113933b14bb655ff70bc3243d0951f91ade25829ce093d04781","schema_version":"1.0","event_id":"sha256:4fe3a30f971e1113933b14bb655ff70bc3243d0951f91ade25829ce093d04781"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YANCJYOQKYXI67FUSV5UVX6YEL/bundle.json","state_url":"https://pith.science/pith/YANCJYOQKYXI67FUSV5UVX6YEL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YANCJYOQKYXI67FUSV5UVX6YEL/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":"2026-06-11T23:05:13Z","links":{"resolver":"https://pith.science/pith/YANCJYOQKYXI67FUSV5UVX6YEL","bundle":"https://pith.science/pith/YANCJYOQKYXI67FUSV5UVX6YEL/bundle.json","state":"https://pith.science/pith/YANCJYOQKYXI67FUSV5UVX6YEL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YANCJYOQKYXI67FUSV5UVX6YEL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YANCJYOQKYXI67FUSV5UVX6YEL","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":"68cb9083cf02a878001b003a573a038d73b0f68c2ea8c6ad6f02b36c435e0157","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-08-28T20:09:16Z","title_canon_sha256":"6fd5a63f6cf9b579d6288e1a28aad9754cb71f920c8a35f7f02215672b3cd2e3"},"schema_version":"1.0","source":{"id":"0908.4273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4273","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4273v1","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4273","created_at":"2026-05-18T02:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"YANCJYOQKYXI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YANCJYOQKYXI67FU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YANCJYOQ","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:4fe3a30f971e1113933b14bb655ff70bc3243d0951f91ade25829ce093d04781","target":"graph","created_at":"2026-05-18T02:34:37Z","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":"Using the methods of general relativity Lindquist derived the radiative transfer equation that is correct to all orders in v/c. Mihalas developed a method of solution for the important case of monotonic velocity fields with spherically symmetry. We have developed the generalized atmosphere code PHOENIX, which in 1-D has used the framework of Mihalas to solve the radiative transfer equation (RTE) in 1-D moving flows. We describe our recent work including 3-D radiation transfer in PHOENIX and particularly including moving flows exactly using a novel affine method. We briefly discuss quantitative","authors_text":"Bin Chen, E. Baron, P. H. Hauschildt","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-08-28T20:09:16Z","title":"3D Radiative Transfer with PHOENIX"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4273","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:d5d7aac1f75dcc7799bd222863eef0a3e8a7dadc1166448393c7bfd180bc8f04","target":"record","created_at":"2026-05-18T02:34:37Z","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":"68cb9083cf02a878001b003a573a038d73b0f68c2ea8c6ad6f02b36c435e0157","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-08-28T20:09:16Z","title_canon_sha256":"6fd5a63f6cf9b579d6288e1a28aad9754cb71f920c8a35f7f02215672b3cd2e3"},"schema_version":"1.0","source":{"id":"0908.4273","kind":"arxiv","version":1}},"canonical_sha256":"c01a24e1d0562e8f7cb4957b4adfd822fa0de43ba6a858f0538144b42b50c613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c01a24e1d0562e8f7cb4957b4adfd822fa0de43ba6a858f0538144b42b50c613","first_computed_at":"2026-05-18T02:34:37.196914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:37.196914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ItGry0q5xiXQyIOsPup5PqGvR36qjG+goaTEYQx4eAfIyAV3xmZAM+rj6EEjp7pu9YEqx9oaq4lVyJetPJPYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:37.197405Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5d7aac1f75dcc7799bd222863eef0a3e8a7dadc1166448393c7bfd180bc8f04","sha256:4fe3a30f971e1113933b14bb655ff70bc3243d0951f91ade25829ce093d04781"],"state_sha256":"94a20ecc34fb4919b024c7d15f2011c7fa48912f810a5eeed31a025309f7c3c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rh9WH3nLkAhaP8gAPHK9YjpQZgrKMw8dgIpdn0R18DBITK+rHwSDRWeO8+Fb0EcW9bquNVu6w3uyka8jndWWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:05:13.450506Z","bundle_sha256":"2e3f952d8dafb37340f46ce4210b2c5a8a198782373747f2b8ce8fd72a09a99e"}}